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APPLIED PHYSICS LETTERS 86, 152505 ͑2005͒


Nanoengineered Curie temperature in laterally patterned ferromagnetic
semiconductor heterostructures
          K. F. Eid, B. L. Sheu, O. Maksimov, M. B. Stone,a͒ P. Schiffer, and N. Samarthb͒
          Department of Physics and Materials Research Institute, Pennsylvania State University, University Park,
          Pennsylvania 16802
          ͑Received 20 December 2004; accepted 1 March 2005; published online 5 April 2005͒
          We demonstrate the manipulation of the Curie temperature of buried layers of the ferromagnetic
          semiconductor ͑Ga,Mn͒As using nanolithography to enhance the effect of annealing. Patterning the
          GaAs-capped ferromagnetic layers into nanowires exposes free surfaces at the sidewalls of the
          patterned ͑Ga,Mn͒As layers and thus allows the removal of Mn interstitials using annealing. This
          leads to an enhanced Curie temperature and reduced resistivity compared to unpatterned samples.
          For a fixed annealing time, the enhancement of the Curie temperature is larger for narrower
          nanowires. © 2005 American Institute of Physics. ͓DOI: 10.1063/1.1900938͔


     Heterostructures derived from the ferromagnetic semi-               dry etching. For the patterning process, the samples are first
conductor ͑Ga,Mn͒As are important for studying spin-                     spin coated with a bilayer of about 400-nm-thick electron-
dependent device concepts1–5 relevant to semiconductor                   beam resist P͑MMA-MAA͒ copolymer/PMMA with molecu-
spintronics.6–8 In contrast to metallic ferromagnets where               lar weight of 950. The desired patterns are defined on the
crystalline defects rarely affect the magnetic ordering tem-             sample using direct-write electron-beam lithography at elec-
perature, it is now well established that Mn interstitial                tron energy of 100 keV. After development of the resist in
defects—double donors that compensate holes—play a key                   MIBK: IPA 1 : 1 solution, a metallic layer of either 45 nm Al
role in limiting the hole-mediated Curie temperature ͑TC͒ of             or Al/ Au is deposited on the sample using thermal evapora-
͑Ga,Mn͒As to below 110 K in as-grown samples.9 In thin                   tion. Using standard liftoff techniques, we then obtain metal
͑Ga,Mn͒As epitaxial layers, post-growth annealing10,11                   wires that serve as a hard mask for the subsequent chlorine-
drives Mn interstitials to benign regions at the free surface            based dry etching process. After dry etching, for samples
where they are passivated, resulting in significant increases             with an Al mask, the metal layer is dissolved in CD-26 pho-
in both the hole density ͑p͒ and TC ͑which can be as high as             toresist developer, leaving just the semiconductor nanowire;
160 K͒.12–14 Such values of TC should in principle allow the             for samples with an Al/ Au mask, the metal is retained on
fabrication of proof-of-concept spintronic devices operating             portions of the sample. We note that in the latter case the
above liquid nitrogen temperatures. Unfortunately, the                   undoped GaAs capping layer serves as an insulator that pre-
                                                                         vents the shunting of current through the metal during the
annealing-induced enhancement of TC is almost completely
                                                                         measurement.17 Figures 1͑a͒ and 1͑b͒ show plan view SEM
suppressed in heterostructure devices containing buried
                                                                         images of patterned nanowires. Three identical rows of wires
͑Ga,Mn͒As layers.15,16 In this letter, we describe a nanoengi-
                                                                         are patterned on each wafer: one set is measured as-grown
neered solution to this problem: lithographic patterning of
͑Ga,Mn͒As heterostructures into nanowires. Such patterning
opens up new pathways for defect diffusion to free surfaces
at the sidewalls, and thus restores the annealing-enhanced TC
to buried ͑Ga,Mn͒As layers. These results suggest routes to-
wards the flexible fabrication of ͑Ga,Mn͒As-based spintronic
devices with relatively high TC.
     Laterally patterned wires are fabricated from
GaAs/ ͑Ga, Mn͒As/ GaAs heterostructures grown by molecu-
lar beam epitaxy on epiready semi-insulating GaAs ͑100͒
substrates. Crystal growth conditions are identical to those
described in an earlier publication.15 The samples consist of
a 5 nm thick low temperature GaAs buffer layer, followed by
a Ga1−xMnxAs layer ͑Mn content ϳ6%, thickness of 15 or 50
nm͒ and finally a low temperature grown 10 nm GaAs cap-
ping layer. The data shown are for 50 nm thick magnetic
layers, but the results were qualitatively the same for the 15
nm thick samples. We pattern these samples into wires that
are ϳ4 ␮m long and with two different widths ͑1 ␮m and 70
nm͒ using electron beam lithography followed by liftoff and

a͒
  Currently at the Condensed Matter Sciences Division of the Oak Ridge
  National Laboratory.                                                   FIG. 1. SEM images of nanowires patterned along two different crystallo-
b͒
  Electronic mail: nsamarth@phys.psu.edu                                 graphic directions: ͑a͒ ͓110͔ and ͑b͒ ͓010͔.

0003-6951/2005/86͑15͒/152505/3/$22.50                     86, 152505-1                            © 2005 American Institute of Physics
Downloaded 06 Apr 2005 to 146.186.190.234. Redistribution subject to AIP license or copyright, see http://apl.aip.org/apl/copyright.jsp
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
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

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Nanoengineered Curie temperature in laterally patterned ferromagnetic semiconductor heterostructures

  • 1. APPLIED PHYSICS LETTERS 86, 152505 ͑2005͒ Nanoengineered Curie temperature in laterally patterned ferromagnetic semiconductor heterostructures K. F. Eid, B. L. Sheu, O. Maksimov, M. B. Stone,a͒ P. Schiffer, and N. Samarthb͒ Department of Physics and Materials Research Institute, Pennsylvania State University, University Park, Pennsylvania 16802 ͑Received 20 December 2004; accepted 1 March 2005; published online 5 April 2005͒ We demonstrate the manipulation of the Curie temperature of buried layers of the ferromagnetic semiconductor ͑Ga,Mn͒As using nanolithography to enhance the effect of annealing. Patterning the GaAs-capped ferromagnetic layers into nanowires exposes free surfaces at the sidewalls of the patterned ͑Ga,Mn͒As layers and thus allows the removal of Mn interstitials using annealing. This leads to an enhanced Curie temperature and reduced resistivity compared to unpatterned samples. For a fixed annealing time, the enhancement of the Curie temperature is larger for narrower nanowires. © 2005 American Institute of Physics. ͓DOI: 10.1063/1.1900938͔ Heterostructures derived from the ferromagnetic semi- dry etching. For the patterning process, the samples are first conductor ͑Ga,Mn͒As are important for studying spin- spin coated with a bilayer of about 400-nm-thick electron- dependent device concepts1–5 relevant to semiconductor beam resist P͑MMA-MAA͒ copolymer/PMMA with molecu- spintronics.6–8 In contrast to metallic ferromagnets where lar weight of 950. The desired patterns are defined on the crystalline defects rarely affect the magnetic ordering tem- sample using direct-write electron-beam lithography at elec- perature, it is now well established that Mn interstitial tron energy of 100 keV. After development of the resist in defects—double donors that compensate holes—play a key MIBK: IPA 1 : 1 solution, a metallic layer of either 45 nm Al role in limiting the hole-mediated Curie temperature ͑TC͒ of or Al/ Au is deposited on the sample using thermal evapora- ͑Ga,Mn͒As to below 110 K in as-grown samples.9 In thin tion. Using standard liftoff techniques, we then obtain metal ͑Ga,Mn͒As epitaxial layers, post-growth annealing10,11 wires that serve as a hard mask for the subsequent chlorine- drives Mn interstitials to benign regions at the free surface based dry etching process. After dry etching, for samples where they are passivated, resulting in significant increases with an Al mask, the metal layer is dissolved in CD-26 pho- in both the hole density ͑p͒ and TC ͑which can be as high as toresist developer, leaving just the semiconductor nanowire; 160 K͒.12–14 Such values of TC should in principle allow the for samples with an Al/ Au mask, the metal is retained on fabrication of proof-of-concept spintronic devices operating portions of the sample. We note that in the latter case the above liquid nitrogen temperatures. Unfortunately, the undoped GaAs capping layer serves as an insulator that pre- vents the shunting of current through the metal during the annealing-induced enhancement of TC is almost completely measurement.17 Figures 1͑a͒ and 1͑b͒ show plan view SEM suppressed in heterostructure devices containing buried images of patterned nanowires. Three identical rows of wires ͑Ga,Mn͒As layers.15,16 In this letter, we describe a nanoengi- are patterned on each wafer: one set is measured as-grown neered solution to this problem: lithographic patterning of ͑Ga,Mn͒As heterostructures into nanowires. Such patterning opens up new pathways for defect diffusion to free surfaces at the sidewalls, and thus restores the annealing-enhanced TC to buried ͑Ga,Mn͒As layers. These results suggest routes to- wards the flexible fabrication of ͑Ga,Mn͒As-based spintronic devices with relatively high TC. Laterally patterned wires are fabricated from GaAs/ ͑Ga, Mn͒As/ GaAs heterostructures grown by molecu- lar beam epitaxy on epiready semi-insulating GaAs ͑100͒ substrates. Crystal growth conditions are identical to those described in an earlier publication.15 The samples consist of a 5 nm thick low temperature GaAs buffer layer, followed by a Ga1−xMnxAs layer ͑Mn content ϳ6%, thickness of 15 or 50 nm͒ and finally a low temperature grown 10 nm GaAs cap- ping layer. The data shown are for 50 nm thick magnetic layers, but the results were qualitatively the same for the 15 nm thick samples. We pattern these samples into wires that are ϳ4 ␮m long and with two different widths ͑1 ␮m and 70 nm͒ using electron beam lithography followed by liftoff and a͒ Currently at the Condensed Matter Sciences Division of the Oak Ridge National Laboratory. FIG. 1. SEM images of nanowires patterned along two different crystallo- b͒ Electronic mail: nsamarth@phys.psu.edu graphic directions: ͑a͒ ͓110͔ and ͑b͒ ͓010͔. 0003-6951/2005/86͑15͒/152505/3/$22.50 86, 152505-1 © 2005 American Institute of Physics Downloaded 06 Apr 2005 to 146.186.190.234. Redistribution subject to AIP license or copyright, see http://apl.aip.org/apl/copyright.jsp
  • 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