2. 152505-2 Eid et al. Appl. Phys. Lett. 86, 152505 ͑2005͒
FIG. 2. ͑a͒ Magnetization vs temperature for macroscopic pieces ͑area of
ϳ5 mm2͒ of as-grown and annealed GaAs/ ͑Ga, Mn͒As͑50 nm͒ /
͑10 nm͒GaAs heterostructure. The data are measured in a magnetic field of
50 Oe in-plane upon warming after field cooling at 10 kOe. The sample is
annealed at 190 °C in ultrahigh purity nitrogen gas ͑5N͒ for 5 h. The data
show that TC is not affected by annealing. ͑b͒ Resistance vs temperature
͑measured in van der Pauw geometry͒ for a 1 mmϫ 2 mm mesa patterned
from the same wafer as in ͑a͒. FIG. 3. Temperature dependence of the ͑four-probe͒ resistivity for as-grown
and annealed single wires of ͑a͒ 1 m width and ͑b͒ 70 nm width. Both sets
of wires are patterned along the ͓110͔ direction. Note that the data for the
and patterned, while the other two sets are annealed after annealed 70 nm wire in ͑b͒ are plotted using a different scale ͑axis on right
hand side͒. Plot ͑c͒ shows the same measurements for four individual 70 nm
patterning at 190 °C for 5 h. wires patterned along different crystalline orientations. All wires are pat-
We probe the ferromagnetic phase transition in single terned from the same wafer used in Fig. 2, and the annealing conditions are
wires using four probe measurements of the temperature- identical to those used in Fig. 2.
dependent resistance R͑T͒; it is well-established7,8 that R͑T͒
shows a well-defined peak close to TC in ͑Ga,Mn͒As, espe-
cially for samples with TC Ͻ 100 K. For higher TC, the peak 190 °C for 5 h. The data indicate that annealing results in a
is less well-defined but still yields a reasonable estimate of slight increase in TC, accompanied by a slight increase in the
the ordering temperature ͑typically an overestimate of resistivity of the sample. These observations suggest that an-
ϳ10 K͒.7,8 In addition, we measure the temperature depen- nealing induces modest diffusion of Mn interstitials to the
dence of both the magnetization ͓using a commercial super- free surfaces at the sidewalls of the wire. The diffusion co-
conducting quantum interference device ͑SQUID͒ magneto- efficient ͑estimated to be D ϳ 100 nm2 / h at ϳ190 ° C14͒ is
meter͔ and the resistivity in macroscopic pieces of the parent simply not large enough to allow significant removal of Mn
wafers ͑using the van der Pauw method͒. interstitials from the bulk of the 1 m wide wire within the
Figure 2͑a͒ shows the magnetization as a function of 5 h annealing time. There is however some alteration of the
temperature for both as-grown and annealed ͑ϳ5 mm2͒ defect states, as indicated by the small increase in the high
pieces of a GaAs/ 50 nm͑Ga, Mn͒As/ 10 nm GaAs hetero- temperature resistivity; we do not have an explanation for
structure. As found in earlier studies,15 the cap layer com- this observation but note that a similar effect has been seen
pletely suppresses any annealing-induced enhancement of in previous studies of long anneals, albeit at higher annealing
TC. This suppression of the annealing effect has been attrib- temperatures.11
uted to the formation of a p-n junction at each of the two Figure 3͑b͒ shows the effect of annealing for a 70 nm
GaAs/ ͑Ga, Mn͒As interfaces as some Mn interstitials wide nanowire ͑also patterned along ͓110͔͒. Here, annealing
͑double donors͒ initially diffuse across the boundaries into produces a striking increase in TC of almost 50 K, accompa-
GaAs.14,15 The resulting Coulomb barrier is expected to nied by a correspondingly significant decrease in the resis-
strongly inhibit the further diffusion of Mn interstitials from tivity of the wire. Both these observations strongly suggest
the bulk of the ͑Ga,Mn͒As layer towards the interfaces. The the successful removal of the Mn interstitials from the bulk
temperature dependence of the sample resistance is in com- of the ͑Ga,Mn͒As nanowire. Lateral diffusion of the Mn in-
plete agreement with the magnetization measurements. Fig- terstitials provides the most likely explanation for these ob-
ure 2͑b͒ shows van der Pauw measurements of R͑T͒ for a servations. We note that the time and length scales for diffu-
macroscopic mesa ͑1 mmϫ 2 mm͒; the peak of R͑T͒ does sion observed in our experiments ͑ϳ35 nm in 5 h͒ are
not change upon annealing. In addition, there is no signifi- consistent with earlier low-temperature annealing studies of
cant reduction in the resistivity of the sample with annealing, ͑Ga,Mn͒As epilayers.14
indicating that the hole density has not changed. It is important to examine whether defect-diffusion may
Lateral patterning produces distinctly different behavior. depend on the crystalline direction and/or the nature of the
Figure 3͑a͒ shows the temperature-dependent resistivity for a free surface where the interstitials eventually reside. We
1 m wide wire patterned along the ͓110͔ direction. The data hence pattern four nanowires ͑each with 70 nm width͒, along
are shown for both an as-grown wire and one annealed at ¯
the principal cubic directions ͓͑110͔, ͓110͔, ͓100͔, and
Downloaded 06 Apr 2005 to 146.186.190.234. Redistribution subject to AIP license or copyright, see http://apl.aip.org/apl/copyright.jsp
3. 152505-3 Eid et al. Appl. Phys. Lett. 86, 152505 ͑2005͒
͓010͔͒. All four nanowires are annealed under identical con-
2
D. Chiba, M. Yamounichi, F. Matsukura, and H. Ohno, Science 301, 943
ditions ͑190 °C for 5 h͒. The results are shown in Fig. 3͑c͒ ͑2003͒.
3
M. Tanaka and Y. Higo, Phys. Rev. Lett. 87, 026602 ͑2001͒.
and indicate that, at least for the processing and annealing 4
S. H. Chun, S. J. Potashnik, K. C. Ku, P. Schiffer, and N. Samarth, Phys.
protocol followed in this study, defect diffusion does not Rev. B 66, 100408͑R͒ ͑2002͒.
vary significantly with crystalline direction. 5
D. Chiba, Y. Sato, T. Kita, F. Matsukura, and H. Ohno, Phys. Rev. Lett.
In summary, we have shown that nanolithography allows 93, 216602 ͑2004͒.
6
the engineering of defect diffusion pathways, hence provid- S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von
ing a means of tailoring impurity-controlled magnetism in Molnar, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Science
294, 1488 ͑2001͒.
ferromagnetic semiconductor heterostructures. Areas with 7
H. Ohno in Semiconductor Spintronics and Quantum Computation, edited
different TC and resistivity can be made on the same wafer by D. D. Awschalom, D. Loss, and N. Samarth ͑Springer, Berlin, 2002͒, p.
simply by having different feature sizes. Smaller features 1.
8
have a higher Curie temperature and lower resistivity. Al- N. Samarth, in Solid State Physics, edited by H. Ehrenreich and F.
though we do not observe any obvious crystalline anisotropy Spaepen ͑Elsevier/Academic, San Diego 2004͒, Vol. 58.
9
in the diffusion constant of the Mn interstitials, such direc- K. M. Yu, W. Walukiewicz, T. Wojtowicz, I. Kuryliszyn, X. Liu, Y. Sasaki,
and J. Furdyna, Phys. Rev. B 65, 201303͑R͒ ͑2002͒.
tional dependence may still exist and may be revealed by in 10
T. Hayashi, Y. Hashimoto, S. Katsumoto, and Y. Iye, Appl. Phys. Lett. 78,
situ resistance monitoring while annealing the nanowires. 1691 ͑2001͒.
Our findings auger well for prospects of designing 11
S. J. Potashnik, K. C. Ku, S. H. Chun, J. J. Berry, N. Samarth, and P.
͑Ga,Mn͒As-based spintronic device heterostructures such as Schiffer, Appl. Phys. Lett. 79, 1495 ͑2001͒.
12
magnetic tunnel junctions with TC well above 77 K. In addi- K. W. Edmonds, K. Y. Wang, R. P. Campion, A. C. Neumann, C. T.
tion, systematic studies of annealing of nanowires of differ- Foxon, B. L. Gallagher, and P. C. Main, Appl. Phys. Lett. 81, 3010
͑2002͒.
ing width may provide new insights into ongoing controver- 13
K. C. Ku, S. J. Potashnik, R. F. Wang, S. H. Chun, P. Schiffer, N. Samarth,
sies about the microscopic details of the diffusion and M. J. Seong, A. Mascarenhas, E. Johnston-Halperin, R. C. Myers, A. C.
passivation of Mn interstitials in ͑Ga,Mn͒As.18 Gossard, and D. D. Awschalom, Appl. Phys. Lett. 82, 2302 ͑2003͒.
14
K. W. Edmonds, P. Boguslawski, K. Y. Wang, R. P. Campion, S. N. No-
This research has been supported by Grant Nos. ONR vikov, N. R. Farley, B. L. Gallagher, C. T. Foxon, M. Sawicki, T. Dietl, M.
N0014-05-1-0107, DARPA/ONR N00014-99-1093, -00-1- Buongiorno Nardelli, and J. Bernholc, Phys. Rev. Lett. 92, 037201
0951, University of California-Santa Barbara Subcontract ͑2004͒.
15
KK4131, and NSF DMR-0305238 and -0401486. This work M. B. Stone, K. C. Ku, S. J. Potashnik, B. L. Sheu, N. Samarth, and P.
Schiffer, Appl. Phys. Lett. 83, 4568 ͑2003͒.
was performed in part at the Penn State Nanofabrication Fa- 16
D. Chiba, K. Takamura, F. Matsukura, and H. Ohno, Appl. Phys. Lett. 82,
cility, a member of the NSF National Nanofabrication Users 3020 ͑2003͒.
Network. 17
This is confirmed by comparing the resistivity of the wires with van der
Pauw resistivity measured on samples that had no metal.
1 18
Y. Ohno, D. K. Young, B. Beschoten, F. Matsukura, H. Ohno, and D. D. M. Adell, J. Kanski, L. Ilver, V. Stanciu, and P. Svedlindh, cond-mat/
Awschalom, Nature ͑London͒ 402, 790 ͑1999͒. 0412006.
Downloaded 06 Apr 2005 to 146.186.190.234. Redistribution subject to AIP license or copyright, see http://apl.aip.org/apl/copyright.jsp