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LETTER doi:10.1038/nature14241
An ultraluminous quasar with a twelve-billion-
solar-mass black hole at redshift 6.30
Xue-Bing Wu1,2
, Feige Wang1,2
, Xiaohui Fan2,3
, Weimin Yi4,5,6
, Wenwen Zuo7
, Fuyan Bian8
, Linhua Jiang2
, Ian D. McGreer3
,
Ran Wang2
, Jinyi Yang1,2
, Qian Yang1,2
, David Thompson9
& Yuri Beletsky10
Sofar,roughly40quasarswithredshiftsgreaterthanz 5 6havebeen
discovered1–8
. Each quasar contains a black holewitha mass of about
one billion solar masses (109
M[)2,6,7,9–13
. The existence of such black
holes when the Universe was less than one billion years old presents
substantialchallengestotheoriesoftheformationandgrowthofblack
holes and the coevolution of black holes and galaxies14
.Here we report
thediscoveryofanultraluminousquasar,SDSSJ010013.021280225.8,
at redshift z 5 6.30. It has an optical and near-infrared luminosity a
fewtimesgreaterthanthoseofpreviouslyknownz.6quasars.Onthe
basisofthedeepabsorptiontrough15
onthebluesideoftheLyman-a
emissionlinein the spectrum,we estimatethe propersize ofthe ion-
izedproximityzoneassociatedwiththequasartobeabout26million
light years, larger than found with other z . 6.1 quasars with lower
luminosities16
.Weestimate(onthebasisofanear-infraredspectrum)
thattheblackholehasamassof 1.2 3 1010
M[,whichisconsistent
with the 1.3 3 1010
M[ derived by assuming an Eddington-limited
accretion rate.
High-redshift quasars have been efficiently selected using a combi-
nation of optical and near-infrared colours3,4
. We have carried out a
systematic survey of quasars at z . 5 using photometry from the Sloan
Digital Sky Survey (SDSS)17
, the two Micron All Sky Survey (2MASS)18
and the Wide-field Infrared Survey Explorer (WISE)19
, resulting in the
discoveryofasignificantpopulationofluminoushigh-redshiftquasars.
SDSS J010013.021280225.8 (hereafter J010012802) was selected as a
high-redshift quasar candidate owing to its red optical colour (with
SDSS AB magnitudes iAB 5 20.84 6 0.06 and zAB 5 18.33 6 0.03) and
a photometric redshift of z < 6.3. It has bright detections in the 2MASS
J, H and Ks bands with Vega magnitudes of 17.00 6 0.20, 15.98 6 0.19
and 15.20 6 0.16,respectively;itisalsostronglydetected inWISE, with
Vega magnitudes in W1 to W4 bands of 14.45 6 0.03, 13.63 6 0.03,
11.71 6 0.21 and 8.98 6 0.44, respectively (see Extended Data Figs 1
and 2 for images in different bands). Its colour in the two bluest WISE
bands, W1 and W2, clearly differentiates it from the bulk of stars in our
Galaxy20
. The object was within the SDSS-III imaging area. It is close to
the colour selection boundary of SDSS z < 6 quasars1
, but was assigned
to low priority earlier because of its relatively red zAB 2 J colour and its
bright apparent magnitudes. It is undetected in both radio and X-ray
bands by the wide-area, shallow survey instruments.
Initial optical spectroscopy on J010012802 was carried out on 29
December 2013 with the Lijiang 2.4-m telescope in China. The low-
resolution spectrum clearly shows a sharp break at about 8,800 A˚, con-
sistent with a quasar at a redshift beyond 6.2. Two subsequent optical
spectroscopic observations were conducted on 9 and 24 January 2014
respectively with the 6.5-m Multiple Mirror Telescope (MMT) and the
twin 8.4-m mirror Large Binocular Telescope (LBT) in the USA. The
Lyman-a (Lya) line shown in the spectra confirms that J010012802 is
a quasar at a redshift of 6.30 6 0.01 (see Fig. 1 and Methods for details).
Weusethemultiwavelengthphotometrytoestimatetheopticallumi-
nosityatrest-framewavelength3,000A˚ (L3,000),whichisconsistentwith
that obtained from K-band spectroscopy (see below). The latter gives a
more reliable value of (3.15 6 0.47) 3 1047
erg s21
, adopting a LCDM
cosmology with Hubble constant H0 5 70 km s21
Mpc21
, matter den-
sityparameterVM 5 0.30anddarkenergydensityparameterVL 5 0.7.
Assuminganempiricalconversionfactorfromtheluminosityat3,000 A˚
to the bolometric luminosity21
, this gives Lbol 5 5.15 3 L3,000 5 1.62 3
1048
erg s21
5 4.29 3 1014
L[ (where L[ is the solar luminosity). We
obtain a similar resultwhenestimatingthe bolometric luminosity from
the Galactic extinction corrected absolute magnitude at rest-frame
1,450 A˚, which is M1450,AB 5 229.26 6 0.20. The luminosity of this
1
Department of Astronomy, School of Physics, Peking University, Beijing 100871, China. 2
Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing 100871, China. 3
Steward Observatory,
University of Arizona, Tucson, Arizona 85721-0065, USA. 4
Yunnan Observatories, Chinese Academy of Sciences, Kunming 650011, China. 5
University of Chinese Academy of Sciences, Beijing 100049,
China. 6
Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming 650011, China. 7
Shanghai Astronomical Observatory, Chinese Academy of Sciences,
Shanghai 200030, China. 8
Mount Stromlo Observatory, Research School of Astronomy and Astrophysics, Australian National University, Weston Creek, Australian Capital Territory 2611, Australia. 9
Large
Binocular Telescope Observatory, University of Arizona, Tucson, Arizona 85721, USA. 10
Las Campanas Observatory, Carnegie Institution of Washington, Colina el Pino, Casilla 601, La Serena, Chile.
7,000 7,500 8,000 8,500 9,000 9,500
Observed wavelength (Å)
0
1
2
3
Flux(10–16ergs–1cm–2Å–1)
2.4-m
MMT
LBT
J0100+2802
z = 6.30 ± 0.01
J1148+5251
Figure 1 | The optical spectra of J010012802. From top to bottom, spectra
taken with the Lijiang 2.4-m telescope, the MMT and the LBT (in red, blue
and black colours), respectively. For clarity, two spectra are offset upward by
one and two vertical units. Although the spectral resolution varies from very
low to medium, in all spectra the Lya emission line, with a rest-frame
wavelength of 1,216 A˚, is redshifted to around 8,900 A˚, giving a redshift of 6.30.
J010012802 is a weak-line quasar with continuum luminosity about four times
higher than that of SDSS J114815251 (in green on the same flux scale)1
,
which was previously the most luminous high-redshift quasar known at
z 5 6.42.
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quasar is roughly 4 times greater than that of the luminous z 5 6.42
quasar1
SDSS J114815251, and 7 times greater than that of the most
distant known quasar6
ULAS J112010641 (z 5 7.085); it is the most
luminous quasar known at z . 6 (see Extended Data Fig. 3).
The rest-frame equivalent width of the Lya 1 N V emission lines as
measured from the LBT spectrum is roughly 10 A˚, suggesting that
J010012802 is probably a weak-line quasar (WLQ)22
. The fraction of
WLQs is higher among the z < 6 quasars compared to those at lower
redshift8
,andahighdetectionrateofstrongmillimetredustcontinuum
in z < 6 WLQs points to active star formation in these objects23
. Given
its extreme luminosity, J010012802 will be helpful in the study of the
evolutionary stage of WLQs by future (sub)millimetre observations,
thoughthe origin of the weak ultravioletemissionlinefeature of WLQs
is still uncertain.
The LBT spectrum of J010012802 (Fig. 1) exhibits a deep Gunn–
Peterson absorption trough15
blueward of the Lya emission. The trans-
mission spectrum (assuming an intrinsic power-law continuum24
of
Fl / l21.5
, where Fl is the flux density at wavelength l) is shown in
Fig.2.CompleteGunn–PetersonabsorptioncanalsobeseenintheLya,
Lyb and Lyc transitions. Statistically significant transmission peaks are
detected at z 5 5.99 in both the Lya and Lyb troughs, and an additional
transmissionpeakisdetectedatz 5 5.84intheLybtrough.The2slower
limit on the Lya Gunn–Peterson optical depth (ta) at z 5 6.00–6.15 is
ta . 5.5 and the 2s lower limit for Lyb is tb . 6, corresponding to an
equivalentta . 13.5,following theconversioninliterature16
.Thechar-
acteristics of the intergalactic medium (IGM) transmission along the
line of sight of J010012802, including the deep Lya and Lyb troughs,
and the narrow, unresolved transmission peaks, are similar to those
observedinSDSSJ114815251,andareconsistentwiththerapidincrease
in the IGM neutral fraction at z. 5.5 observed in a large sample of SDSS
quasars16
. The size evolution of the quasar proximity zone, which is
highly ionized by quasar ultraviolet photons, can also be used to con-
straintheIGMneutralfraction.Thesizeoftheproximityzoneisdefined
by the point where the transmitted flux first drops by a significant
amount to below 10% (ignoring small absorption leaks) of the quasar
extrapolated continuum emission after the spectrum is smoothed to a
resolution of 20 A˚ (ref.16).As showninFig. 2,J010012802 has a much
largerproperproximityzone(7.96 0.8 Mpc;1 Mpcisabout3.26million
lightyears)thanthatofotherSDSSquasars16,25
atz . 6.1;itslargeprox-
imity zone size is expected from the higher level of photo-ionization
dominated by quasar radiation.
We obtained the near-infrared J,H,K-band spectra with Gemini and
Magellan telescopes on 6 August and 7 October 2014, respectively (see
Methods fordetails). Figure3 shows the combined optical/near-infrared
spectrum of J010012802 and the results of fitting the Mg II emis-
sion line. The Mg II full-width at half-maximum (FWHM) is 5,130 6
150km s21
,andthecontinuumluminosityattherest-framewavelength
of 3,000 A˚ is (3.15 6 0.47)3 1047
erg s21
. After applying a virial black-
hole massestimator based ontheMg II line26
, weestimate its black-hole
masstobe(1.246 0.19)3 1010
M[.Theuncertaintyofblack-holemass
does not include the systematic uncertainty of virial black-hole mass
estimation, which could be up to a factor of three27
. Assuming that this
quasar is accreting at the Eddington accretion rate and the bolometric
luminosity is close to the Eddington luminosity (LEdd 5 1.3 3 1038
(M/M[)), similar to other z.6 quasars11
, leads to a black-hole mass of
0.00
0.10
0.20
0.30
Transmission,TTransmission,TTransmission,T
Lyman α
Redshift
0.00
0.10
0.20
0.30
Lyman β
0246810
Proper distance (Mpc)
0.0
0.4
0.8
1.2
6.26.16.05.95.5 5.6 5.7 5.8
a
b
c
Figure 2 | Transmission in absorption troughs and the proximity zone for
J010012802. a, b, Transmission in Lya and Lyb absorption troughs
(respectively a, red; b, blue) were calculated by dividing the spectrum by a
power-law continuum24
, Fl / l21.5
. The shaded band in both panels shows
1s standard deviation. The Lya and Lyb absorption redshifts are given by
l/lLya(Lyb) 2 1, where lLya 5 1,216 A˚ andlLyb 5 1,026 A˚. The optical spectrum
exhibits a deep Gunn–Peterson trough and a significant transmission peak at
z 5 5.99. c, Transmission in the proximity zone. The proper proximity zone
for J010012802 (in black) extends to 7.96 0.8 Mpc, a much larger value than
those of other z . 6.1 quasars, including 4.9 6 0.6Mpc for J114815251 (in
green), consistent with its higher ultraviolet luminosity. The transmission in
c was calculated by dividing the measured spectrum by a power-law continuum
Fl / l21.5
plus two Gaussian fittings of Lya and N V lines. The horizontal
dotted line and the two dashed lines denote transmission values of 0, 0.1 and 1.0
respectively, while the vertical dashed line denotes the proper proximity zone
size of 0.
2,700 2,800 2,900 3,000
0.35
0.4
Mg II
Fe II
PL
Rest-frame wavelength (Å)
Rest-frame wavelength (Å)
Mg II
C IV
Lyα
Observed wavelength (Å)
1,000 1,500 2,000 2,500 3,000
1.5
1
0.5
0
Flux(10–16ergs–1cm–2Å–1)
104 1.5 × 104 2 × 104
Figure 3 | The combined optical/near-infrared spectrum of J010012802
and the fitting of the MgII line. Main panel, the black line shows the LBT
optical spectrum and the red line shows the combined Magellan and Gemini
near-infrared J,H,K-band spectra (from left to right, respectively). The gaps
between J and H and between H and K bands are ignored due to the low sky
transparency there. The magenta line shows the noise spectrum. The main
emission lines Lya, C IV and Mg II are labelled. The details of the absorption
lines are described in Extended Data Fig. 4. Inset, fits of the Mg II line (with
FWHM of 5,130 6 150 km s21
) and surrounding Fe II emissions. The green,
cyan and blue solid lines show the power law (PL), Fe II and Mg II components.
The black dashed line shows the sum of these components in comparison with
the observed spectrum, denoted by the red line. The black-hole mass is
estimated to be (1.24 6 0.19)3 1010
M[.
LETTER RESEARCH
2 6 F E B R U A R Y 2 0 1 5 | V O L 5 1 8 | N A T U R E | 5 1 3
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1.331010
M[ forJ010012802.Therefore,ourobservationsstronglyindi-
cate that J010012802 harbours a black hole of mass about 1.231010
M[,
the first such system known at z . 6, though black holes of such a size
have been found in local giant elliptical galaxies28
and low-redshift
quasars21
.
Although gravitational lensing is a possible explanation for the high
luminosity of J010012802, we do not expect a large lensing magnifica-
tion.AnLBTK-bandimagewithseeingof0.40showsamorphologyfully
consistent with a single point source (Extended Data Fig. 2); and the
large size of the quasar proximity zone further supports a high ultra-
violetluminosityconsistentwiththeexpectedphotoionizationscaling29
.
However, absorption features at different redshift have been identified
from its near-infrared spectroscopy (Extended Data Fig. 4), implying
the existence of abundant intervening materials along the line of sight.
J010012802 is the only known quasar with a bolometric luminosity
higher than 1048
erg s21
and a black-hole mass larger than 53 109
M[
at z $ 6. It is also close to being the most luminous quasar with the
most massive black hole at any redshift (Fig. 4). The discovery of this
single ultraluminous quasar within the entire SDSS footprint(,13,000
degrees2
) is broadly consistentwiththe extrapolation of the SDSS z < 6
quasarluminosityfunction16
.Thenumberdensityofsuchobjectswould
set strong constraints on the early growth of supermassive black holes
andtheevolutionofthehigh-redshiftquasarblack-holemassfunction5,11
.
In addition to ULAS J112010641 with a 2 3 109
M[ black hole6,13
at
z 5 7.085, and a recently discovered z 5 6.889 quasar with a black hole
of 2.1 3 109
M[ (ref. 13), J010012802 with a 1.23 1010
M[ black hole
atz5 6.30presentsthenextmostsignificantchallengetotheEddington-
limitedgrowthofblackholesintheearlyUniverse11,14
.Itsexistencealso
strengthens the claim that supermassive black holes in the early Uni-
verse probably grew much more quickly than their host galaxies, as
argued from a molecular gas study of z < 6 quasars30
. Therefore, as the
most luminous quasar known to date at z . 6, J010012802 will be a
unique resource for the future study of mass assembly and galaxy for-
mation around the most massive black holes at the end of the epoch of
cosmic reionization16
.
Online Content Methods, along with any additional Extended Data display items
andSource Data, are available in the onlineversion of the paper; references unique
to these sections appear only in the online paper.
Received 17 June 2014; accepted 15 January 2015.
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Supplementary Information is available in the online version of the paper.
Acknowledgements X.-B.W. thanks the NSFC (grant nos 11033001 and 11373008),
the Strategic Priority Research Program ‘The Emergence of Cosmological Structures’
of the Chinese Academy of Sciences (grant no. XDB09000000), and the National Key
Basic Research Program of China (grant no. 2014CB845700) for support. X.F., R.W.
and I.D.M.thankthe USNSF(grant nos AST 08-06861andAST 11-07682)for support.
R.W. thanks the NSFC (grant no. 11443002) for support. We acknowledge the support
ofthestaffofthe Lijiang2.4-m telescope.Funding forthe telescope wasprovidedbythe
Chinese Academy of Sciences and the People’s Government of Yunnan Province. This
107 108 109 1010 1011
MBH (M )
1044
1045
1046
1047
1048
Lbol(ergs–1)
0.01LEdd
0.1LEdd
LEdd
Figure 4 | Distribution of quasar bolometric luminosities, Lbol, and black-
hole masses, MBH, estimated from the Mg II lines. The red circle at top right
represents J010012802. The small blue squares denote SDSS high-redshift
quasars2,10,12
, and the large blue square represents J114815251. The green
triangles denote CFHQS high-redshift quasars11,12
. The purple star denotes
ULAS J112010641 at z 5 7.085 (ref. 6). Black contours (which indicate 1s to
5s significance from inner to outer) and grey dots denote SDSS low-redshift
quasars21
(with broad absorption line quasars excluded). Error bars represent
the 1s standard deviation, and the mean error bar for low-redshift quasars
is presented in the bottom-right corner. The dashed lines denote the luminosity
in different fractions of the Eddington luminosity, LEdd. Note that the black-
hole mass and bolometric luminosity are calculated using the same method
and the same cosmology model as in the present Letter, and the systematic
uncertainties (not included in the error bars) of virial black-hole masses could
be up to a factor of three27
.
RESEARCH LETTER
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research uses data obtained through the Telescope Access Program (TAP), which has
been funded by the Strategic Priority Research Program ‘The Emergence of
Cosmological Structures’ (grant no. XDB09000000), National Astronomical
Observatories,Chinese AcademyofSciences, andthe SpecialFundforAstronomyfrom
the Ministry of Finance of China. We thank D. Osip for help with Magellan/FIRE
spectroscopy, and Y.-L. Ai, L. C. Ho, Y. Shen and J.-G. Wang for suggestions about data
analyses. We acknowledge the use of SDSS, 2MASS and WISE data, and of the MMT,
LBT,Gemini and Magellantelescopes;detailedacknowledgments ofthesefacilitiescan
be found in Supplementary Information.
Author Contributions X.-B.W., F.W. and X.F. planned the study, and wrote the draft
version of the paper. All other co-authors contributed extensively and equally to the
observations, data analyses and writing of the manuscript.
Author Information Reprints and permissions information is available at
www.nature.com/reprints. The authors declare no competing financial interests.
Readers are welcome to comment on the online version of the paper.
Correspondence and requests for materials should be addressed to
X.-B.W. (wuxb@pku.edu.cn).
LETTER RESEARCH
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METHODS
The optical spectroscopy on J010012802 was first carried out on 29 December
2013 with the Yunnan Fainter Object Spectrograph and Camera (YFOSC) of the
Lijiang 2.4-m telescope in China. We used a very low resolution grism (G12, at a
dispersion of18 A˚ perpixel)andtook 3,000sexposureonthistarget.The spectrum
clearlyshowsasharpbreakatabout8,800A˚ andnosignificantemissionsblueward,
consistent with a quasar spectrum at a redshift beyond 6.2. To confirm this discov-
ery, two subsequent optical spectroscopic observations were obtained on 9 and 24
January2014withthe6.5-mMultipleMirrorTelescope(MMT)andthetwin8.4-m
mirrorLargeBinocularTelescope(LBT)intheUSA,respectively.Thelowtomedium
resolution spectra, obtained with 1,200s exposure using the MMT Red Channel (at a
dispersionof3.6A˚ perpixel)and2,400sexposurewiththeLBTMulti-ObjectDouble
CCD Spectrographs/Imagers (MODS)31
(at a dispersion of 1.8 A˚ per pixel) respec-
tively, explicitly confirm that SDSS J010012802 is a quasar at redshift 6.30 6 0.01
(obtained by the Lya line).
The near-infrared K-band spectroscopy on J010012802 was carried out with
LBT/LUCI-1 on 2 January 2014. Owing to the short exposure time (15min), the
spectrumisofmodestsignal-to-noiseratio(S/N).AlthoughtheMg II linewasclearly
detected, the noisy LBT spectrum did not allow us to accurately measure the line
width. To improve the quality of the near-infrared spectrum, we obtained J,H,K-
band spectroscopy with Gemini/GNIRS and Magellan/FIRE on 6 August and
7 October 2014, respectively. The exposure time was 3,600s for GNIRS and 3,635s
forFIRE.TheFIREspectrumhashigherS/N(about30inKband)andhigherspectral
resolution (R 5 l/Dl < 6,000) than the GNIRS spectrum (with S/N of about 10 in
K band and R < 1,800). In order to achieve the best spectral quality, we combined
the FIRE and the GNIRS spectra, and scaled the combined spectrum according to
its 2MASSJ,H,Ks-band magnitudes. The Mg II line shownin the K-band spectrum
gives the same redshift as that given by the Lya line in the optical spectrum. The
high-quality J,H,K-band spectra also clearly display abundant absorption features,
which have been identified as being from intervening or associated systems with
redshifts from 2.33 to 6.14 (Extended Data Fig. 4).
AfterredshiftandGalactic extinctioncorrections, therest-frameH-andK-band
spectrumisdecomposedintoapseudo-continuumandtheMg II emissionline.The
pseudo-continuum consists of a power-law continuum and Fe II emissions, and
is fitted within the rest-frame wavelength range between 2,000 A˚ and 3,200 A˚ by
excludingthe boundaryregionbetweenH andK bandswheretheskytransparency
is lower. An Fe II template32,33
is adopted for the fitting of Fe II emissions. The Mg II
emissionlineisfittedwith twobroadGaussiancomponents.ThefourMg II absorp-
tionlinesneartheredderpartoftheMg II emissionlinearealsofittedasfourGaussian
linesin orderto removetheireffects onthe fittings ofMg II and Fe II emissionlines.
TheoverallFWHMoftheMg II emissionlineis,5,130km s21
withanuncertainty
of 150 km s21
. The continuum has a slope of 21.43 and the continuum luminosity
at the rest-frame wavelength of 3,000 A˚ (L3,000) is (3.15 60.47)3 1047
ergs21
. The
Fe II to Mg II line ratio is 2.56 60.18, which is consistent with the mean value of
other z . 6 quasars12,13
. After applying a virial black-hole mass estimator based on
the Mg II line26
, we estimate its black-hole mass to be (1.24 60.19)3 1010
M[.
Although the systematic uncertaintyof virial black-hole mass estimation can be up
a factor of three27
, ourresult still strongly indicates that J010012802 hosts a central
black hole with mass close to 1.23 1010
M[. This is also well consistent with a
black-hole mass obtained by assuming an Eddington luminosity of J010012802,
which leads to a mass of 1.33 1010
M[. Considering the contribution of Balmer
continuum, as done for other z . 6 quasars12,13
, leads to a decrease of L3,000 to
(2.90 6 0.44)3 1047
erg s21
, anincreaseofFWHMofMg II to5,300 6 200 km s21
and yields a black-hole mass of (1.26 6 0.21) 3 1010
M[. Therefore, the effect of
considering Balmer continuum is insignificant for the black-hole mass measure-
ment of J010012802. In addition, if we adopt a different virial black-hole mass
scaling relation34
, the black-hole mass changes to (1.0760.14) 3 1010
M[, which
is still well consistent with the result we obtained above.
Sample size. No statistical methods were used to predetermine sample size.
31. Pogge, R. W. et al. The multi-object double spectrographs for the Large Binocular
Telescope. Proc. SPIE 7735, 9–16 (2010).
32. Vestergaard, M. & Wilkes, B. J. An empirical ultraviolet template for iron emission
in quasars as derived from I Zwicky 1. Astrophys. J. Suppl. Ser. 134, 1–33 (2001).
33. Salviander, S. et al.The black hole mass-galaxybulge relationship for QSOsin the
Sloan Digital Sky Survey data release 3. Astrophys. J. 662, 131–144 (2007).
34. Vestergaard, M. & Osmer, P. S. Mass functions of the active black holes in distant
quasars from the Large Bright Quasar Survey, the Bright Quasar Survey, and the
color-selected sample of the SDSS Fall Equatorial Stripe. Astrophys. J. 699,
800–816 (2009).
RESEARCH LETTER
Macmillan Publishers Limited. All rights reserved©2015
Extended Data Figure 1 | Images of J010012802 in SDSS, 2MASS and
WISE bands. J010012802 is undetected in SDSS u,g,r bands (top row) but is
relatively bright in other bands (lower three rows). It is consistent with a point
source in the bands with high signal-to-noise detections. The size is 193 19 for
all images. The green circle represents an angular size of 100 in each image.
LETTER RESEARCH
Macmillan Publishers Limited. All rights reserved©2015
Extended Data Figure 2 | The LBT K-band image of J010012802. The size
is 1003 100. The horizontal and vertical axes denote the offsets in right
ascension (DRA) and in declination (DDec.). The image, with seeing of 0.40,
shows a morphology fully consistent with a point source.
RESEARCH LETTER
Macmillan Publishers Limited. All rights reserved©2015
Extended Data Figure 3 | The rest-frame spectral energy distributions of
J010012802, J114815251 and ULAS J112010641. The redshifts of these
three quasars are 6.30, 6.42 and 7.085, respectively. The luminosity of
J010012802 in theultraviolet/optical bands is about four times higher than that
of J114815251, and seven times higher than that of ULAS J112010641. The
photometric data are from literature for J114815251 and J112010641. The
error bars show the 1s standard deviation.
LETTER RESEARCH
Macmillan Publishers Limited. All rights reserved©2015
Extended Data Figure 4 | The major absorption features identified from
optical and near-infrared spectroscopy of J010012802. Most of them are
from Mg II, C IV and Fe II. The labels from A to H correspond to the redshifts of
absorption materials at 6.14, 6.11, 5.32, 5.11, 4.52, 4.22, 3.34 and 2.33,
respectively. Studies of intervening and associated absorption systems will be
discussed elsewhere.
RESEARCH LETTER
Macmillan Publishers Limited. All rights reserved©2015

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12-Billion-Solar-Mass Black Hole Found at Redshift 6.3

  • 1. LETTER doi:10.1038/nature14241 An ultraluminous quasar with a twelve-billion- solar-mass black hole at redshift 6.30 Xue-Bing Wu1,2 , Feige Wang1,2 , Xiaohui Fan2,3 , Weimin Yi4,5,6 , Wenwen Zuo7 , Fuyan Bian8 , Linhua Jiang2 , Ian D. McGreer3 , Ran Wang2 , Jinyi Yang1,2 , Qian Yang1,2 , David Thompson9 & Yuri Beletsky10 Sofar,roughly40quasarswithredshiftsgreaterthanz 5 6havebeen discovered1–8 . Each quasar contains a black holewitha mass of about one billion solar masses (109 M[)2,6,7,9–13 . The existence of such black holes when the Universe was less than one billion years old presents substantialchallengestotheoriesoftheformationandgrowthofblack holes and the coevolution of black holes and galaxies14 .Here we report thediscoveryofanultraluminousquasar,SDSSJ010013.021280225.8, at redshift z 5 6.30. It has an optical and near-infrared luminosity a fewtimesgreaterthanthoseofpreviouslyknownz.6quasars.Onthe basisofthedeepabsorptiontrough15 onthebluesideoftheLyman-a emissionlinein the spectrum,we estimatethe propersize ofthe ion- izedproximityzoneassociatedwiththequasartobeabout26million light years, larger than found with other z . 6.1 quasars with lower luminosities16 .Weestimate(onthebasisofanear-infraredspectrum) thattheblackholehasamassof 1.2 3 1010 M[,whichisconsistent with the 1.3 3 1010 M[ derived by assuming an Eddington-limited accretion rate. High-redshift quasars have been efficiently selected using a combi- nation of optical and near-infrared colours3,4 . We have carried out a systematic survey of quasars at z . 5 using photometry from the Sloan Digital Sky Survey (SDSS)17 , the two Micron All Sky Survey (2MASS)18 and the Wide-field Infrared Survey Explorer (WISE)19 , resulting in the discoveryofasignificantpopulationofluminoushigh-redshiftquasars. SDSS J010013.021280225.8 (hereafter J010012802) was selected as a high-redshift quasar candidate owing to its red optical colour (with SDSS AB magnitudes iAB 5 20.84 6 0.06 and zAB 5 18.33 6 0.03) and a photometric redshift of z < 6.3. It has bright detections in the 2MASS J, H and Ks bands with Vega magnitudes of 17.00 6 0.20, 15.98 6 0.19 and 15.20 6 0.16,respectively;itisalsostronglydetected inWISE, with Vega magnitudes in W1 to W4 bands of 14.45 6 0.03, 13.63 6 0.03, 11.71 6 0.21 and 8.98 6 0.44, respectively (see Extended Data Figs 1 and 2 for images in different bands). Its colour in the two bluest WISE bands, W1 and W2, clearly differentiates it from the bulk of stars in our Galaxy20 . The object was within the SDSS-III imaging area. It is close to the colour selection boundary of SDSS z < 6 quasars1 , but was assigned to low priority earlier because of its relatively red zAB 2 J colour and its bright apparent magnitudes. It is undetected in both radio and X-ray bands by the wide-area, shallow survey instruments. Initial optical spectroscopy on J010012802 was carried out on 29 December 2013 with the Lijiang 2.4-m telescope in China. The low- resolution spectrum clearly shows a sharp break at about 8,800 A˚, con- sistent with a quasar at a redshift beyond 6.2. Two subsequent optical spectroscopic observations were conducted on 9 and 24 January 2014 respectively with the 6.5-m Multiple Mirror Telescope (MMT) and the twin 8.4-m mirror Large Binocular Telescope (LBT) in the USA. The Lyman-a (Lya) line shown in the spectra confirms that J010012802 is a quasar at a redshift of 6.30 6 0.01 (see Fig. 1 and Methods for details). Weusethemultiwavelengthphotometrytoestimatetheopticallumi- nosityatrest-framewavelength3,000A˚ (L3,000),whichisconsistentwith that obtained from K-band spectroscopy (see below). The latter gives a more reliable value of (3.15 6 0.47) 3 1047 erg s21 , adopting a LCDM cosmology with Hubble constant H0 5 70 km s21 Mpc21 , matter den- sityparameterVM 5 0.30anddarkenergydensityparameterVL 5 0.7. Assuminganempiricalconversionfactorfromtheluminosityat3,000 A˚ to the bolometric luminosity21 , this gives Lbol 5 5.15 3 L3,000 5 1.62 3 1048 erg s21 5 4.29 3 1014 L[ (where L[ is the solar luminosity). We obtain a similar resultwhenestimatingthe bolometric luminosity from the Galactic extinction corrected absolute magnitude at rest-frame 1,450 A˚, which is M1450,AB 5 229.26 6 0.20. The luminosity of this 1 Department of Astronomy, School of Physics, Peking University, Beijing 100871, China. 2 Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing 100871, China. 3 Steward Observatory, University of Arizona, Tucson, Arizona 85721-0065, USA. 4 Yunnan Observatories, Chinese Academy of Sciences, Kunming 650011, China. 5 University of Chinese Academy of Sciences, Beijing 100049, China. 6 Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, Kunming 650011, China. 7 Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China. 8 Mount Stromlo Observatory, Research School of Astronomy and Astrophysics, Australian National University, Weston Creek, Australian Capital Territory 2611, Australia. 9 Large Binocular Telescope Observatory, University of Arizona, Tucson, Arizona 85721, USA. 10 Las Campanas Observatory, Carnegie Institution of Washington, Colina el Pino, Casilla 601, La Serena, Chile. 7,000 7,500 8,000 8,500 9,000 9,500 Observed wavelength (Å) 0 1 2 3 Flux(10–16ergs–1cm–2Å–1) 2.4-m MMT LBT J0100+2802 z = 6.30 ± 0.01 J1148+5251 Figure 1 | The optical spectra of J010012802. From top to bottom, spectra taken with the Lijiang 2.4-m telescope, the MMT and the LBT (in red, blue and black colours), respectively. For clarity, two spectra are offset upward by one and two vertical units. Although the spectral resolution varies from very low to medium, in all spectra the Lya emission line, with a rest-frame wavelength of 1,216 A˚, is redshifted to around 8,900 A˚, giving a redshift of 6.30. J010012802 is a weak-line quasar with continuum luminosity about four times higher than that of SDSS J114815251 (in green on the same flux scale)1 , which was previously the most luminous high-redshift quasar known at z 5 6.42. 5 1 2 | N A T U R E | V O L 5 1 8 | 2 6 F E B R U A R Y 2 0 1 5 Macmillan Publishers Limited. All rights reserved©2015
  • 2. quasar is roughly 4 times greater than that of the luminous z 5 6.42 quasar1 SDSS J114815251, and 7 times greater than that of the most distant known quasar6 ULAS J112010641 (z 5 7.085); it is the most luminous quasar known at z . 6 (see Extended Data Fig. 3). The rest-frame equivalent width of the Lya 1 N V emission lines as measured from the LBT spectrum is roughly 10 A˚, suggesting that J010012802 is probably a weak-line quasar (WLQ)22 . The fraction of WLQs is higher among the z < 6 quasars compared to those at lower redshift8 ,andahighdetectionrateofstrongmillimetredustcontinuum in z < 6 WLQs points to active star formation in these objects23 . Given its extreme luminosity, J010012802 will be helpful in the study of the evolutionary stage of WLQs by future (sub)millimetre observations, thoughthe origin of the weak ultravioletemissionlinefeature of WLQs is still uncertain. The LBT spectrum of J010012802 (Fig. 1) exhibits a deep Gunn– Peterson absorption trough15 blueward of the Lya emission. The trans- mission spectrum (assuming an intrinsic power-law continuum24 of Fl / l21.5 , where Fl is the flux density at wavelength l) is shown in Fig.2.CompleteGunn–PetersonabsorptioncanalsobeseenintheLya, Lyb and Lyc transitions. Statistically significant transmission peaks are detected at z 5 5.99 in both the Lya and Lyb troughs, and an additional transmissionpeakisdetectedatz 5 5.84intheLybtrough.The2slower limit on the Lya Gunn–Peterson optical depth (ta) at z 5 6.00–6.15 is ta . 5.5 and the 2s lower limit for Lyb is tb . 6, corresponding to an equivalentta . 13.5,following theconversioninliterature16 .Thechar- acteristics of the intergalactic medium (IGM) transmission along the line of sight of J010012802, including the deep Lya and Lyb troughs, and the narrow, unresolved transmission peaks, are similar to those observedinSDSSJ114815251,andareconsistentwiththerapidincrease in the IGM neutral fraction at z. 5.5 observed in a large sample of SDSS quasars16 . The size evolution of the quasar proximity zone, which is highly ionized by quasar ultraviolet photons, can also be used to con- straintheIGMneutralfraction.Thesizeoftheproximityzoneisdefined by the point where the transmitted flux first drops by a significant amount to below 10% (ignoring small absorption leaks) of the quasar extrapolated continuum emission after the spectrum is smoothed to a resolution of 20 A˚ (ref.16).As showninFig. 2,J010012802 has a much largerproperproximityzone(7.96 0.8 Mpc;1 Mpcisabout3.26million lightyears)thanthatofotherSDSSquasars16,25 atz . 6.1;itslargeprox- imity zone size is expected from the higher level of photo-ionization dominated by quasar radiation. We obtained the near-infrared J,H,K-band spectra with Gemini and Magellan telescopes on 6 August and 7 October 2014, respectively (see Methods fordetails). Figure3 shows the combined optical/near-infrared spectrum of J010012802 and the results of fitting the Mg II emis- sion line. The Mg II full-width at half-maximum (FWHM) is 5,130 6 150km s21 ,andthecontinuumluminosityattherest-framewavelength of 3,000 A˚ is (3.15 6 0.47)3 1047 erg s21 . After applying a virial black- hole massestimator based ontheMg II line26 , weestimate its black-hole masstobe(1.246 0.19)3 1010 M[.Theuncertaintyofblack-holemass does not include the systematic uncertainty of virial black-hole mass estimation, which could be up to a factor of three27 . Assuming that this quasar is accreting at the Eddington accretion rate and the bolometric luminosity is close to the Eddington luminosity (LEdd 5 1.3 3 1038 (M/M[)), similar to other z.6 quasars11 , leads to a black-hole mass of 0.00 0.10 0.20 0.30 Transmission,TTransmission,TTransmission,T Lyman α Redshift 0.00 0.10 0.20 0.30 Lyman β 0246810 Proper distance (Mpc) 0.0 0.4 0.8 1.2 6.26.16.05.95.5 5.6 5.7 5.8 a b c Figure 2 | Transmission in absorption troughs and the proximity zone for J010012802. a, b, Transmission in Lya and Lyb absorption troughs (respectively a, red; b, blue) were calculated by dividing the spectrum by a power-law continuum24 , Fl / l21.5 . The shaded band in both panels shows 1s standard deviation. The Lya and Lyb absorption redshifts are given by l/lLya(Lyb) 2 1, where lLya 5 1,216 A˚ andlLyb 5 1,026 A˚. The optical spectrum exhibits a deep Gunn–Peterson trough and a significant transmission peak at z 5 5.99. c, Transmission in the proximity zone. The proper proximity zone for J010012802 (in black) extends to 7.96 0.8 Mpc, a much larger value than those of other z . 6.1 quasars, including 4.9 6 0.6Mpc for J114815251 (in green), consistent with its higher ultraviolet luminosity. The transmission in c was calculated by dividing the measured spectrum by a power-law continuum Fl / l21.5 plus two Gaussian fittings of Lya and N V lines. The horizontal dotted line and the two dashed lines denote transmission values of 0, 0.1 and 1.0 respectively, while the vertical dashed line denotes the proper proximity zone size of 0. 2,700 2,800 2,900 3,000 0.35 0.4 Mg II Fe II PL Rest-frame wavelength (Å) Rest-frame wavelength (Å) Mg II C IV Lyα Observed wavelength (Å) 1,000 1,500 2,000 2,500 3,000 1.5 1 0.5 0 Flux(10–16ergs–1cm–2Å–1) 104 1.5 × 104 2 × 104 Figure 3 | The combined optical/near-infrared spectrum of J010012802 and the fitting of the MgII line. Main panel, the black line shows the LBT optical spectrum and the red line shows the combined Magellan and Gemini near-infrared J,H,K-band spectra (from left to right, respectively). The gaps between J and H and between H and K bands are ignored due to the low sky transparency there. The magenta line shows the noise spectrum. The main emission lines Lya, C IV and Mg II are labelled. The details of the absorption lines are described in Extended Data Fig. 4. Inset, fits of the Mg II line (with FWHM of 5,130 6 150 km s21 ) and surrounding Fe II emissions. The green, cyan and blue solid lines show the power law (PL), Fe II and Mg II components. The black dashed line shows the sum of these components in comparison with the observed spectrum, denoted by the red line. The black-hole mass is estimated to be (1.24 6 0.19)3 1010 M[. LETTER RESEARCH 2 6 F E B R U A R Y 2 0 1 5 | V O L 5 1 8 | N A T U R E | 5 1 3 Macmillan Publishers Limited. All rights reserved©2015
  • 3. 1.331010 M[ forJ010012802.Therefore,ourobservationsstronglyindi- cate that J010012802 harbours a black hole of mass about 1.231010 M[, the first such system known at z . 6, though black holes of such a size have been found in local giant elliptical galaxies28 and low-redshift quasars21 . Although gravitational lensing is a possible explanation for the high luminosity of J010012802, we do not expect a large lensing magnifica- tion.AnLBTK-bandimagewithseeingof0.40showsamorphologyfully consistent with a single point source (Extended Data Fig. 2); and the large size of the quasar proximity zone further supports a high ultra- violetluminosityconsistentwiththeexpectedphotoionizationscaling29 . However, absorption features at different redshift have been identified from its near-infrared spectroscopy (Extended Data Fig. 4), implying the existence of abundant intervening materials along the line of sight. J010012802 is the only known quasar with a bolometric luminosity higher than 1048 erg s21 and a black-hole mass larger than 53 109 M[ at z $ 6. It is also close to being the most luminous quasar with the most massive black hole at any redshift (Fig. 4). The discovery of this single ultraluminous quasar within the entire SDSS footprint(,13,000 degrees2 ) is broadly consistentwiththe extrapolation of the SDSS z < 6 quasarluminosityfunction16 .Thenumberdensityofsuchobjectswould set strong constraints on the early growth of supermassive black holes andtheevolutionofthehigh-redshiftquasarblack-holemassfunction5,11 . In addition to ULAS J112010641 with a 2 3 109 M[ black hole6,13 at z 5 7.085, and a recently discovered z 5 6.889 quasar with a black hole of 2.1 3 109 M[ (ref. 13), J010012802 with a 1.23 1010 M[ black hole atz5 6.30presentsthenextmostsignificantchallengetotheEddington- limitedgrowthofblackholesintheearlyUniverse11,14 .Itsexistencealso strengthens the claim that supermassive black holes in the early Uni- verse probably grew much more quickly than their host galaxies, as argued from a molecular gas study of z < 6 quasars30 . Therefore, as the most luminous quasar known to date at z . 6, J010012802 will be a unique resource for the future study of mass assembly and galaxy for- mation around the most massive black holes at the end of the epoch of cosmic reionization16 . Online Content Methods, along with any additional Extended Data display items andSource Data, are available in the onlineversion of the paper; references unique to these sections appear only in the online paper. Received 17 June 2014; accepted 15 January 2015. 1. Fan, X.et al. A surveyof z . 5.7 quasars inthe SloanDigital Sky Survey. II. Discovery of three additional quasars at z . 6. Astron. J. 125, 1649–1659 (2003). 2. Jiang, L. et al. Gemini near-infrared spectroscopy of luminous z , 6 quasars: chemical abundances, black hole masses, and Mg II absorption. Astron. J. 134, 1150–1161 (2007). 3. Willott, C. J. et al. Four quasars above redshift 6 discovered by the Canada-France high-z quasar survey. Astron. J. 134, 2435–2450 (2007). 4. Jiang,L.etal. Asurveyofz , 6quasarsinthe SloanDigital SkySurveydeepstripe.I. A flux-limited sample at zAB , 21. Astron. J. 135, 1057–1066 (2008). 5. Willott, C. J. et al. The Canada-France high-z quasar survey: nine new quasars and the luminosity function at redshift 6. Astron. J. 139, 906–918 (2010). 6. Mortlock, D. J. et al. A luminous quasar at a redshift of z 5 7.085. Nature 474, 616–619 (2011). 7. Venemans, E. P. et al. Discovery of three z . 6.5 quasars in the VISTA Kilo-Degree Infrared Galaxy (VIKING) Survey. Astrophys. J. 779, 24–36 (2013). 8. Ban˜ados,E.etal. Discoveryofeightz , 6quasarsfromPan-STARRS.Astron. J.148, 14–25 (2014). 9. Willott,C.J.,McLure,R.J.&Jarvis,M.J.A3 3 109 M[ blackholeinthequasarSDSS J114815251 at z 5 6.41. Astrophys. J. 587, L15–L18 (2003). 10. Kurk, J. D. et al. Black hole masses and enrichment of z , 6 SDSS quasars. Astrophys. J. 669, 32–44 (2007). 11. Willott, C. J. et al. Eddington-limited accretion and the black hole mass function at redshift 6. Astron. J. 140, 546–560 (2010). 12. De Rosa, G. et al. Evidence for non-evolving Fe II/Mg II ratios in rapidly accreting z , 6 QSOs. Astrophys. J. 739, 56–69 (2011). 13. De Rosa, G. et al. Black hole mass estimates and emission-line properties of a sample of redshift z .6.5 quasars. Astrophys. J. 790, 145–158 (2014). 14. Volonteri, M. The formation and evolution of massive black holes. Science 337, 544–547 (2012). 15. Gunn, J. E. & Peterson, B. A. On the density of neutral hydrogen in intergalactic space. Astrophys. J. 142, 1633–1641 (1965). 16. Fan, X., Carilli, C. L. & Keating, B. Observational constraints on cosmic reionization. Annu. Rev. Astron. Astrophys. 44, 415–462 (2006). 17. York, D. G. et al. The Sloan Digital Sky Survey: technical summary. Astron. J. 120, 1579–1587 (2000). 18. Skrutskie, M. F. et al. The Two Micron All Sky Survey (2MASS). Astron. J. 131, 1163–1183 (2006). 19. Wright, E. L. et al. The Wide-field Infrared Survey Explorer (WISE): mission description and initial on-orbit performance. Astron. J. 140, 1868–1881 (2010). 20. Wu, X.-B. et al. SDSS quasars in the WISE preliminary data release and quasar candidate selection with optical/infrared colours. Astron. J. 144, 49–59 (2012). 21. Shen, Y. et al. A catalog of quasar properties from Sloan Digital Sky Survey data release 7. Astrophys. J. 194 (suppl.), 45–65 (2011). 22. Fan, X. et al. The discovery of a high-redshift quasar without emission lines from Sloan Digital Sky Survey commissioning data. Astrophys. J. 526, L57–L60 (1999). 23. Wang, R. et al. Thermal emission from warm dust in the most distant quasars. Astrophys. J. 687, 848–858 (2008). 24. Vanden Berk, D. E. et al. Composite quasar spectra from the Sloan Digital Sky Survey. Astron. J. 122, 549–564 (2001). 25. Carilli,C.L.et al. Ionizationnearzones associatedwithquasars atz ,6.Astrophys.J. 714, 834–839 (2010). 26. McLure, R. J. & Dunlop, J. S. The cosmological evolution of quasar black hole masses. Mon. Not. R. Astron. Soc. 352, 1390–1404 (2004). 27. Peterson, B. M. et al. Central masses and broad-line region sizes of active galactic nuclei. II. A homogeneous analysis of a large reverberation-mapping database. Astrophys. J. 613, 682–699 (2004). 28. McConnell, N. J. et al. Two ten-billion-solar-mass black holes at the centres of giant elliptical galaxies. Nature 480, 215–218 (2011). 29. Haiman, Z. et al. Constraining reionization with the evolution of the luminosity function of Lya emitting galaxies. Astron. J. 623, 627–631 (2005). 30. Wang, R. et al. Molecular gas in z , 6 quasar host galaxies. Astrophys. J. 714, 699–712 (2010). Supplementary Information is available in the online version of the paper. Acknowledgements X.-B.W. thanks the NSFC (grant nos 11033001 and 11373008), the Strategic Priority Research Program ‘The Emergence of Cosmological Structures’ of the Chinese Academy of Sciences (grant no. XDB09000000), and the National Key Basic Research Program of China (grant no. 2014CB845700) for support. X.F., R.W. and I.D.M.thankthe USNSF(grant nos AST 08-06861andAST 11-07682)for support. R.W. thanks the NSFC (grant no. 11443002) for support. We acknowledge the support ofthestaffofthe Lijiang2.4-m telescope.Funding forthe telescope wasprovidedbythe Chinese Academy of Sciences and the People’s Government of Yunnan Province. This 107 108 109 1010 1011 MBH (M ) 1044 1045 1046 1047 1048 Lbol(ergs–1) 0.01LEdd 0.1LEdd LEdd Figure 4 | Distribution of quasar bolometric luminosities, Lbol, and black- hole masses, MBH, estimated from the Mg II lines. The red circle at top right represents J010012802. The small blue squares denote SDSS high-redshift quasars2,10,12 , and the large blue square represents J114815251. The green triangles denote CFHQS high-redshift quasars11,12 . The purple star denotes ULAS J112010641 at z 5 7.085 (ref. 6). Black contours (which indicate 1s to 5s significance from inner to outer) and grey dots denote SDSS low-redshift quasars21 (with broad absorption line quasars excluded). Error bars represent the 1s standard deviation, and the mean error bar for low-redshift quasars is presented in the bottom-right corner. The dashed lines denote the luminosity in different fractions of the Eddington luminosity, LEdd. Note that the black- hole mass and bolometric luminosity are calculated using the same method and the same cosmology model as in the present Letter, and the systematic uncertainties (not included in the error bars) of virial black-hole masses could be up to a factor of three27 . RESEARCH LETTER 5 1 4 | N A T U R E | V O L 5 1 8 | 2 6 F E B R U A R Y 2 0 1 5 Macmillan Publishers Limited. All rights reserved©2015
  • 4. research uses data obtained through the Telescope Access Program (TAP), which has been funded by the Strategic Priority Research Program ‘The Emergence of Cosmological Structures’ (grant no. XDB09000000), National Astronomical Observatories,Chinese AcademyofSciences, andthe SpecialFundforAstronomyfrom the Ministry of Finance of China. We thank D. Osip for help with Magellan/FIRE spectroscopy, and Y.-L. Ai, L. C. Ho, Y. Shen and J.-G. Wang for suggestions about data analyses. We acknowledge the use of SDSS, 2MASS and WISE data, and of the MMT, LBT,Gemini and Magellantelescopes;detailedacknowledgments ofthesefacilitiescan be found in Supplementary Information. Author Contributions X.-B.W., F.W. and X.F. planned the study, and wrote the draft version of the paper. All other co-authors contributed extensively and equally to the observations, data analyses and writing of the manuscript. Author Information Reprints and permissions information is available at www.nature.com/reprints. The authors declare no competing financial interests. Readers are welcome to comment on the online version of the paper. Correspondence and requests for materials should be addressed to X.-B.W. (wuxb@pku.edu.cn). LETTER RESEARCH 2 6 F E B R U A R Y 2 0 1 5 | V O L 5 1 8 | N A T U R E | 5 1 5 Macmillan Publishers Limited. All rights reserved©2015
  • 5. METHODS The optical spectroscopy on J010012802 was first carried out on 29 December 2013 with the Yunnan Fainter Object Spectrograph and Camera (YFOSC) of the Lijiang 2.4-m telescope in China. We used a very low resolution grism (G12, at a dispersion of18 A˚ perpixel)andtook 3,000sexposureonthistarget.The spectrum clearlyshowsasharpbreakatabout8,800A˚ andnosignificantemissionsblueward, consistent with a quasar spectrum at a redshift beyond 6.2. To confirm this discov- ery, two subsequent optical spectroscopic observations were obtained on 9 and 24 January2014withthe6.5-mMultipleMirrorTelescope(MMT)andthetwin8.4-m mirrorLargeBinocularTelescope(LBT)intheUSA,respectively.Thelowtomedium resolution spectra, obtained with 1,200s exposure using the MMT Red Channel (at a dispersionof3.6A˚ perpixel)and2,400sexposurewiththeLBTMulti-ObjectDouble CCD Spectrographs/Imagers (MODS)31 (at a dispersion of 1.8 A˚ per pixel) respec- tively, explicitly confirm that SDSS J010012802 is a quasar at redshift 6.30 6 0.01 (obtained by the Lya line). The near-infrared K-band spectroscopy on J010012802 was carried out with LBT/LUCI-1 on 2 January 2014. Owing to the short exposure time (15min), the spectrumisofmodestsignal-to-noiseratio(S/N).AlthoughtheMg II linewasclearly detected, the noisy LBT spectrum did not allow us to accurately measure the line width. To improve the quality of the near-infrared spectrum, we obtained J,H,K- band spectroscopy with Gemini/GNIRS and Magellan/FIRE on 6 August and 7 October 2014, respectively. The exposure time was 3,600s for GNIRS and 3,635s forFIRE.TheFIREspectrumhashigherS/N(about30inKband)andhigherspectral resolution (R 5 l/Dl < 6,000) than the GNIRS spectrum (with S/N of about 10 in K band and R < 1,800). In order to achieve the best spectral quality, we combined the FIRE and the GNIRS spectra, and scaled the combined spectrum according to its 2MASSJ,H,Ks-band magnitudes. The Mg II line shownin the K-band spectrum gives the same redshift as that given by the Lya line in the optical spectrum. The high-quality J,H,K-band spectra also clearly display abundant absorption features, which have been identified as being from intervening or associated systems with redshifts from 2.33 to 6.14 (Extended Data Fig. 4). AfterredshiftandGalactic extinctioncorrections, therest-frameH-andK-band spectrumisdecomposedintoapseudo-continuumandtheMg II emissionline.The pseudo-continuum consists of a power-law continuum and Fe II emissions, and is fitted within the rest-frame wavelength range between 2,000 A˚ and 3,200 A˚ by excludingthe boundaryregionbetweenH andK bandswheretheskytransparency is lower. An Fe II template32,33 is adopted for the fitting of Fe II emissions. The Mg II emissionlineisfittedwith twobroadGaussiancomponents.ThefourMg II absorp- tionlinesneartheredderpartoftheMg II emissionlinearealsofittedasfourGaussian linesin orderto removetheireffects onthe fittings ofMg II and Fe II emissionlines. TheoverallFWHMoftheMg II emissionlineis,5,130km s21 withanuncertainty of 150 km s21 . The continuum has a slope of 21.43 and the continuum luminosity at the rest-frame wavelength of 3,000 A˚ (L3,000) is (3.15 60.47)3 1047 ergs21 . The Fe II to Mg II line ratio is 2.56 60.18, which is consistent with the mean value of other z . 6 quasars12,13 . After applying a virial black-hole mass estimator based on the Mg II line26 , we estimate its black-hole mass to be (1.24 60.19)3 1010 M[. Although the systematic uncertaintyof virial black-hole mass estimation can be up a factor of three27 , ourresult still strongly indicates that J010012802 hosts a central black hole with mass close to 1.23 1010 M[. This is also well consistent with a black-hole mass obtained by assuming an Eddington luminosity of J010012802, which leads to a mass of 1.33 1010 M[. Considering the contribution of Balmer continuum, as done for other z . 6 quasars12,13 , leads to a decrease of L3,000 to (2.90 6 0.44)3 1047 erg s21 , anincreaseofFWHMofMg II to5,300 6 200 km s21 and yields a black-hole mass of (1.26 6 0.21) 3 1010 M[. Therefore, the effect of considering Balmer continuum is insignificant for the black-hole mass measure- ment of J010012802. In addition, if we adopt a different virial black-hole mass scaling relation34 , the black-hole mass changes to (1.0760.14) 3 1010 M[, which is still well consistent with the result we obtained above. Sample size. No statistical methods were used to predetermine sample size. 31. Pogge, R. W. et al. The multi-object double spectrographs for the Large Binocular Telescope. Proc. SPIE 7735, 9–16 (2010). 32. Vestergaard, M. & Wilkes, B. J. An empirical ultraviolet template for iron emission in quasars as derived from I Zwicky 1. Astrophys. J. Suppl. Ser. 134, 1–33 (2001). 33. Salviander, S. et al.The black hole mass-galaxybulge relationship for QSOsin the Sloan Digital Sky Survey data release 3. Astrophys. J. 662, 131–144 (2007). 34. Vestergaard, M. & Osmer, P. S. Mass functions of the active black holes in distant quasars from the Large Bright Quasar Survey, the Bright Quasar Survey, and the color-selected sample of the SDSS Fall Equatorial Stripe. Astrophys. J. 699, 800–816 (2009). 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  • 6. Extended Data Figure 1 | Images of J010012802 in SDSS, 2MASS and WISE bands. J010012802 is undetected in SDSS u,g,r bands (top row) but is relatively bright in other bands (lower three rows). It is consistent with a point source in the bands with high signal-to-noise detections. The size is 193 19 for all images. The green circle represents an angular size of 100 in each image. LETTER RESEARCH Macmillan Publishers Limited. All rights reserved©2015
  • 7. Extended Data Figure 2 | The LBT K-band image of J010012802. The size is 1003 100. The horizontal and vertical axes denote the offsets in right ascension (DRA) and in declination (DDec.). The image, with seeing of 0.40, shows a morphology fully consistent with a point source. RESEARCH LETTER Macmillan Publishers Limited. All rights reserved©2015
  • 8. Extended Data Figure 3 | The rest-frame spectral energy distributions of J010012802, J114815251 and ULAS J112010641. The redshifts of these three quasars are 6.30, 6.42 and 7.085, respectively. The luminosity of J010012802 in theultraviolet/optical bands is about four times higher than that of J114815251, and seven times higher than that of ULAS J112010641. The photometric data are from literature for J114815251 and J112010641. The error bars show the 1s standard deviation. LETTER RESEARCH Macmillan Publishers Limited. All rights reserved©2015
  • 9. Extended Data Figure 4 | The major absorption features identified from optical and near-infrared spectroscopy of J010012802. Most of them are from Mg II, C IV and Fe II. The labels from A to H correspond to the redshifts of absorption materials at 6.14, 6.11, 5.32, 5.11, 4.52, 4.22, 3.34 and 2.33, respectively. Studies of intervening and associated absorption systems will be discussed elsewhere. RESEARCH LETTER Macmillan Publishers Limited. All rights reserved©2015