Spin transport theory in ferromagnet/semiconductor systems with noncollinear magnetization configurations

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 4, 2010, Pages

  Song, Yang ^a   Dery, Hanan ^a,b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b University of Rochester   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954824675     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.045321     Document Type: Article

References (103)

1. I. Žutić, J. Fabian, and S. Das Sharma, Rev. Mod. Phys. 76, 323 (2004). 10.1103/RevModPhys.76.323
2. M. Johnson and R. H. Silsbee, Phys. Rev. B 35, 4959 (1987). 10.1103/PhysRevB.35.4959
3. M. N. Baibich, J. M. Broto, A. Fert, F. Nguyen Van Dau, F. Petroff, P. Etienne, G. Creuzet, A. Friederich, and J. Chazelas, Phys. Rev. Lett. 61, 2472 (1988). 10.1103/PhysRevLett.61.2472
4. G. Binasch, P. Grünberg, F. Saurenbach, and W. Zinn, Phys. Rev. B 39, 4828 (1989). 10.1103/PhysRevB.39.4828
5. J. S. Moodera, L. R. Kinder, T. M. Wong, and R. Meservey, Phys. Rev. Lett. 74, 3273 (1995). 10.1103/PhysRevLett.74.3273
6. G. A. Prinz, Science 282, 1660 (1998). 10.1126/science.282.5394.1660
7. H. J. Zhu, M. Ramsteiner, H. Kostial, M. Wassermeier, H.-P. Schonherr, and K. H. Ploog, Phys. Rev. Lett. 87, 016601 (2001). 10.1103/PhysRevLett.87. 016601
8. A. T. Hanbicki, B. T. Jonker, G. Itskos, G. Kioseoglou, and A. Petrou, Appl. Phys. Lett. 80, 1240 (2002). 10.1063/1.1449530
9. B. T. Jonker, Proc. IEEE 91, 727 (2003). 10.1109/JPROC.2003.811802
10. A. T. Hanbicki, O. M. J. van 't Erve, R. Magno, G. Kioseoglou, C. H. Li, B. T. Jonker, G. Itskos, R. Mallory, M. Yasar, and A. Petrou, Appl. Phys. Lett. 82, 4092 (2003). 10.1063/1.1580631
11. C. Adelmann, J. Q. Xie, C. J. Palmstrøm, J. Strand, X. Lou, J. Wang, and P. A. Crowell, J. Vac. Sci. Technol. B 23, 1747 (2005). 10.1116/1.1949214
12. X. Jiang, R. Wang, R. M. Shelby, R. M. Macfarlane, S. R. Bank, J. S. Harris, and S. S. P. Parkin, Phys. Rev. Lett. 94, 056601 (2005). 10.1103/PhysRevLett.94.056601
13. I. Appelbaum, B. Q. Huang, and D. J. Monsma, Nature (London) 447, 295 (2007). 10.1038/nature05803
14. B. T. Jonker, G. Kioseoglou, A. T. Hanbicki, C. H. Li, and P. E. Thompson, Nat. Phys. 3, 542 (2007). 10.1038/nphys673
15. B.-C. Min, K. Motohashi, C. Lodder, and R. Jansen, Nature Mater. 5, 817 (2006). 10.1038/nmat1736
16. L. E. Hueso, J. M. Pruneda, V. Ferrari, G. Burnell, J. P. Valdés-Herrera, B. D. Simons, P. B. Littlewood, E. Artacho, A. Fert, and N. D. Mathur, Nature (London) 445, 410 (2007). 10.1038/nature05507
17. B. Q. Huang, D. J. Monsma, and I. Appelbaum, Phys. Rev. Lett. 99, 177209 (2007). 10.1103/PhysRevLett.99.177209
18. W. H. Butler, X.-G. Zhang, X. Wang, J. van Ek, and J. M. MacLaren, J. Appl. Phys. 81, 5518 (1997). 10.1063/1.364587
19. Ph. Mavropoulos, O. Wunnicke, and P. H. Dederichs, Phys. Rev. B 66, 024416 (2002). 10.1103/PhysRevB.66.024416
20. O. Wunnicke, Ph. Mavropoulos, R. Zeller, P. H. Dederichs and D. Grundler, Phys. Rev. B 65, 241306 (R) (2002). 10.1103/PhysRevB.65.241306
21. Y. J. Zhao, W. T. Geng, A. J. Freeman, and B. Delley, Phys. Rev. B 65, 113202 (2002). 10.1103/PhysRevB.65.113202
22. M. Zwierzycki, K. Xia, P. J. Kelly, G. E. W. Bauer, and I. Turek, Phys. Rev. B 67, 092401 (2003). 10.1103/PhysRevB.67.092401
23. T. J. Zega, A. T. Hanbicki, S. C. Erwin, I. Žutić, G. Kioseoglou, C. H. Li, B. T. Jonker, and R. M. Stroud, Phys. Rev. Lett. 96, 196101 (2006). 10.1103/PhysRevLett.96.196101
24. A. N. Chantis, K. D. Belashchenko, D. L. Smith, E. Y. Tsymbal, M. van Schilfgaarde, and R. C. Albers, Phys. Rev. Lett. 99, 196603 (2007). 10.1103/PhysRevLett.99.196603
25. S. Honda, H. Itoh, J. Inoue, H. Kurebayashi, T. Trypiniotis, C. H. W. Barnes, A. Hirohata, and J. A. C. Bland, Phys. Rev. B 78, 245316 (2008). 10.1103/PhysRevB.78.245316
26. G. Schmidt, D. Ferrand, L. W. Molenkamp, A. T. Filip, and B. J. van Wees, Phys. Rev. B 62, R4790 (2000). 10.1103/PhysRevB.62.R4790
27. E. I. Rashba, Phys. Rev. B 62, R16267 (2000). 10.1103/PhysRevB.62.R16267
28. A. Fert and H. Jaffrès, Phys. Rev. B 64, 184420 (2001). 10.1103/PhysRevB.64.184420
29. D. L. Smith and R. N. Silver, Phys. Rev. B 64, 045323 (2001). 10.1103/PhysRevB.64.045323
30. Z. G. Yu and M. E. Flatté, Phys. Rev. B 66, 235302 (2002). 10.1103/PhysRevB.66.235302
31. J. D. Albrecht and D. L. Smith, Phys. Rev. B 68, 035340 (2003). 10.1103/PhysRevB.68.035340
32. H. Dery, Ł. Cywiński, and L. J. Sham, Phys. Rev. B 73, 041306 (R) (2006). 10.1103/PhysRevB.73.041306
33. E. I. Rashba, Appl. Phys. Lett. 80, 2329 (2002). 10.1063/1.1465527
34. Ł. Cywiński, H. Dery, and L. J. Sham, Appl. Phys. Lett. 89, 042105 (2006). 10.1063/1.2235881
35. H. Dery, P. Dalal, Ł. Cywiński, and L. J. Sham, Nature (London) 447, 573 (2007). 10.1038/nature05833
36. W. Shockley, G. L. Pearson, and J. R. Haynes, Bell Syst. Tech. J. 28, 344 (1949).
37. C. Herring, Bell Syst. Tech. J. 28, 401 (1949).
38. J. Bardeen, Bell Syst. Tech. J. 28, 428 (1949).
39. H. Brooks, Cruft Laboratory, Harvard University Technical Report No. 181, Cambridge, Massachusetts, 1953.
40. W. Van Roosbroeck, Bell Syst. Tech. J. 29, 560 (1950)
41. W. Van Roosbroeck, Phys. Rev. 123, 474 (1961). 10.1103/PhysRev.123.474
42. M. Johnson, Science 260, 320 (1993). 10.1126/science.260.5106.320
43. F. J. Jedema, A. T. Filip, and B. J. van Wees, Nature (London) 410, 345 (2001). 10.1038/35066533
44. S. A. Crooker, M. Furis, X. Lou, C. Adelmann, D. L. Smith, C. J. Palmstrøm, and P. A. Crowell, Science 309, 2191 (2005). 10.1126/science.1116865
45. X. Lou, C. Adelmann, M. Furis, S. A. Crooker, C. J. Palmstrøm, and P. A. Crowell, Phys. Rev. Lett. 96, 176603 (2006). 10.1103/PhysRevLett.96. 176603
46. X. Lou, C. Adelmann, S. A. Crooker, E. S. Garlid, J. Zhang, K. S. Madhukar Reddy, S. D. Flexner, C. J. Palmstrøm, and P. A. Crowell, Nat. Phys. 3, 197 (2007). 10.1038/nphys543
47. Y. Ji, A. Hoffman, J. E. Pearson, and S. D. Bader, Appl. Phys. Lett. 88, 052509 (2006). 10.1063/1.2170138
48. D. Saha, M. Holub, and P. Bhattacharya, Appl. Phys. Lett. 91, 072513 (2007). 10.1063/1.2772660
49. M. J. van 't Erve, A. T. Hanbicki, M. Holub, C. H. Li, C. Awo-Affouda, P. E. Thompson, and B. T. Jonker, Appl. Phys. Lett. 91, 212109 (2007). 10.1063/1.2817747
50. S. A. Crooker, E. S. Garlid, A. N. Chantis, D. L. Smith, K. S. M. Reddy, Q. O. Hu, T. Kondo, C. J. Palmstrøm, and P. A. Crowell, Phys. Rev. B 80, 041305 (R) (2009). 10.1103/PhysRevB.80.041305
51. Tunneling Phenomena in Solids, edited by, E. Burstein, and, S. Lundqvist, (Plenum Press, New York, 1969).
52. S. M. Sze, Physics of Semiconductor Devices (Wiley, New York, 1981).
53. S. Zhang and P. M. Levy, Phys. Rev. B 65, 052409 (2002). 10.1103/PhysRevB.65.052409
54. J. Zhang and P. M. Levy, Phys. Rev. B 71, 184417 (2005). 10.1103/PhysRevB.71.184417
55. Y. H. Zhu, B. Hillebrands, and H. C. Schneider, Phys. Rev. B 78, 054429 (2008). 10.1103/PhysRevB.78.054429
56. J. C. Slonczewski, Phys. Rev. B 39, 6995 (1989). 10.1103/PhysRevB.39.6995
57. V. Ustinov and E. Kravtso, J. Phys.: Condens. Matter 7, 3471 (1995). 10.1088/0953-8984/7/18/011
58. H. E. Camblong, P. M. Levy, and S. Zhang, Phys. Rev. B 51, 16052 (1995). 10.1103/PhysRevB.51.16052
59. T. Valet and A. Fert, Phys. Rev. B 48, 7099 (1993). 10.1103/PhysRevB.48. 7099
60. A. Brataas, Y. V. Nazarov, and G. E. W. Bauer, Phys. Rev. Lett. 84, 2481 (2000). 10.1103/PhysRevLett.84.2481
61. D. H. Hernando, Y. V. Nazarov, A. Brataas, and G. E. W. Bauer, Phys. Rev. B 62, 5700 (2000). 10.1103/PhysRevB.62.5700
62. A. Brataas, Y. V. Nazarov, and G. E. W. Bauer, Eur. Phys. J. B 22, 99 (2001). 10.1007/PL00011139
63. Y. Xu, K. Xia, and Z. Ma, Nanotechnology 19, 235404 (2008). 10.1088/0957-4484/19/23/235404
64. S. Saikin, J. Phys.: Condens. Matter 16, 5071 (2004). 10.1088/0953-8984/16/28/025
65. Y. Song, J. Galkowski, and H. Dery (unpublished).
66. C. Ciuti, J. P. McGuire, and L. J. Sham, Phys. Rev. Lett. 89, 156601 (2002). 10.1103/PhysRevLett.89.156601
67. R. K. Kawakami, Y. Kato, M. Hanson, I. Malajovich, J. M. Stephens, E. Johnston-Halperin, G. Salis, A. C. Gossard, and D. D. Awschalom, Science 294, 131 (2001). 10.1126/science.1063186
68. R. J. Epstein, I. Malajovich, R. K. Kawakami, Y. Chye, M. Hanson, P. M. Petroff, A. C. Gossard, and D. D. Awschalom, Phys. Rev. B 65, 121202 (R) (2002). 10.1103/PhysRevB.65.121202
69. Y. Li, Y. Chye, Y. F. Chiang, K. Pi, W. H. Wang, J. M. Stephens, S. Mack, D. D. Awschalom, and R. K. Kawakami, Phys. Rev. Lett. 100, 237205 (2008). 10.1103/PhysRevLett.100.237205
70. V. V. Osipov and A. M. Bratkovsky, Phys. Rev. B 70, 205312 (2004). 10.1103/PhysRevB.70.205312
71. H. Dery and L. J. Sham, Phys. Rev. Lett. 98, 046602 (2007). 10.1103/PhysRevLett.98.046602
72. P. Li and H. Dery, Appl. Phys. Lett. 94, 192108 (2009). 10.1063/1.3132082
73. D. L. Smith and P. P. Ruden, Phys. Rev. B 78, 125202 (2008). 10.1103/PhysRevB.78.125202
74. X. Y. Dong, C. Adelmann, J. Q. Xie, C. J. Palmstrøm, X. Lou, J. Strand, P. A. Crowell, J.-P. Barnes, and A. K. Petford-Long, Appl. Phys. Lett. 86, 102107 (2005). 10.1063/1.1881789
75. R. Fiederling, M. Keim, G. Reuscher, W. Ossau, G. Schmidt, A. Waag, and L. W. Molenkamp, Nature (London) 402, 787 (1999). 10.1038/45502
76. Y. Ohno, D. K. Young, B. Beschoten, F. Matsukura, H. Ohno, and D. D. Awschalom, Nature (London) 402, 790 (1999). 10.1038/45509
77. M. Kohda, Y. Ohno, K. Takamura, F. Matsukura, and H. Ohno, Jpn. J. Appl. Phys. 40, L1274 (2001). 10.1143/JJAP.40.L1274
78. E. Johnston-Halperin, D. Lofgreen, R. K. Kawakami, D. K. Young, L. Coldren, A. C. Gossard, and D. D. Awschalom, Phys. Rev. B 65, 041306 (R) (2002). 10.1103/PhysRevB.65.041306
79. P. Van Dorpe, Z. Liu, W. Van Roy, V. F. Motsnyi, M. Sawicki, G. Borghs, and J. De Boeck, Appl. Phys. Lett. 84, 3495 (2004). 10.1063/1.1738515
80. P. Sankowski, P. Kacman, J. A. Majewski, and T. Dietl, Phys. Rev. B 75, 045306 (2007). 10.1103/PhysRevB.75.045306
81. M. Zachau, F. Koch, K. Ploog, P. Roentgen, and H. Beneking, Solid State Commun. 59, 591 (1986). 10.1016/0038-1098(86)90066-9
82. J. M. Geraldo, W. N. Podrigues, G. Medeiros-Ribeiro, and A. G. de Oliveira, J. Appl. Phys. 73, 820 (1993). 10.1063/1.353343
83. V. I. Shashkin, A. V. Murel, V. M. Daniltsev, and O. I. Khrykin, Semiconductors 36, 505 (2002). 10.1134/1.1478540
84. B. Deveaud, J. Shah, T. C. Damen, and W. T. Tsang, Appl. Phys. Lett. 52, 1886 (1988). 10.1063/1.99614
85. T. Kuhn, in Theory of Transport Properties of Semiconductor NanoStructures, edited by, E. Schöll, (Chapman & Hall, London, 1998), pp. 173-214.
86. H. Dery, B. Tromborg, and G. Eisenstein, Phys. Rev. B 67, 245308 (2003). 10.1103/PhysRevB.67.245308
87. A. Malinowski, R. S. Britton, T. Grevatt, R. T. Harley, D. A. Ritchie, and M. Y. Simmons, Phys. Rev. B 62, 13034 (2000). 10.1103/PhysRevB.62.13034
88. M. Q. Weng, M. W. Wu, and L. Jiang, Phys. Rev. B 69, 245320 (2004). 10.1103/PhysRevB.69.245320
89. S. Saikin, M. Shen, and M. C. Cheng, J. Phys.: Condens. Matter 18, 1535 (2006). 10.1088/0953-8984/18/5/005
90. R. Mallory, M. Yasar, G. Itskos, A. Petrou, G. Kioseoglou, A. T. Hanbicki, C. H. Li, O. M. J. van't Erve, B. T. Jonker, M. Shen, and S. Saikin, Phys. Rev. B 73, 115308 (2006). 10.1103/PhysRevB.73.115308
91. Y. Song and H. Dery, arXiv:0909.3124 (unpublished).
92. M. I. Dyakonov and V. I. Perel, Sov. Phys. JETP 33, 1053 (1971)
93. M. I. Dyakonov and V. I. Perel, Sov. Phys. Solid State 13, 3023 (1972).
94. G. E. Pikus and A. N. Titkov, in Optical Orientation, edited by, F. Meier, and, B. P. Zakharchenya, (North-Holland, New York, 1984), Vol. 8, pp. 73-131.
95. M. Born and K. Huang, Dynamical Theory of Crystal Latticess (Oxford University Press, Oxford, England, 1988).
96. P. Y. Yu and M. Cardona, Fundamentals of Semiconductors (Springer, Berlin, 1996).
97. J. M. Kikkawa and D. D. Awschalom, Phys. Rev. Lett. 80, 4313 (1998). 10.1103/PhysRevLett.80.4313
98. V. A. Kulbachinskii, V. G. Kytin, R. A. Lunin, A. V. Golikov, V. G. Mokerov, A. S. Bugaev, A. P. Senichkin, R. T. F. van Schaijk, A. de Visser, and P. M. Koenraad, Semicond. Sci. Technol. 14, 1034 (1999). 10.1088/0268-1242/14/ 12/304
99. F. P. Korshunov, N. F. Kurilovich, T. A. Prokhorenko, and V. K. Shesholko, Inorg. Mater. 38, 784 (2002). 10.1023/A:1019770609713
100. T. Chavanapranee and Y. Horikoshi, J. Appl. Phys. 100, 054505 (2006). 10.1063/1.2338127
101. E. M. Kneedler, B. T. Jonker, P. M. Thibado, R. J. Wagner, B. V. Shanabrook, and L. J. Whitman, Phys. Rev. B 56, 8163 (1997). 10.1103/PhysRevB.56.8163
102. W. F. Ames, Numerical Methods for Partial Differential Equations, 2nd ed. (Academic, New York, 1977).
103. J. D. Hoffman, Numerical Methods for Engineers and Scientists, 2nd ed. (CRC, New York, 2001).