Spin relaxation in n -type GaAs quantum wells from a fully microscopic approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 4, 2007, Pages

  Zhou, J ^a,b   Cheng, J L ^b   Wu, M W ^a,b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846386832     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.045305     Document Type: Article

References (93)

1. Optical Orientation, edited by, F. Meier, and, B. P. Zakharchenya, (North-Holland, Amsterdam, 1984).
2. Semiconductor Spintronics and Quantum Computation, edited by, D. D. Awschalom,,, D. Loss,, and, N. Samarth, (Springer, Berlin, 2002);
3. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.323 76, 323 (2004).
4. J. M. Kikkawa and D. D. Awschalom, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4313 80, 4313 (1998).
5. R. I. Dzhioev, B. P. Zakharchenya, V. L. Korenev, D. Gammon, and D. S. Katzer, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 74, 200 (2001)
6. R. I. Dzhioev, B. P. Zakharchenya, V. L. Korenev, D. Gammon, and D. S. Katzer, [JETP Lett. JTPLA2 0021-3640 10.1134/1.1410226 74, 182 (2001)];
7. R. I. Dzhioev, K. V. Kavokin, V. L. Korenev, M. V. Lazarev, B. Ya. Meltser, M. N. Stepanova, B. P. Zakharchenya, D. Gammon, and D. S. Katzer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.245204 66, 245204 (2002).
8. B. N. Murdin, K. Litvinenko, J. Allam, C. R. Pidgeon, M. Bird, K. Morrison, T. Zhang, S. Clowes, W. R. Branford, J. Harri, and L. F. Cohen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.085346 72, 085346 (2005).
9. T. C. Damen, L. Viña, J. E. Cunningham, J. Shah, and L. J. Sham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3432 67, 3432 (1991).
10. J. Wagner, H. Schneider, D. Richards, A. Fischer, and K. Ploog, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.4786 47, 4786 (1993).
11. A. P. Heberle, W. W. Rühle, and K. Ploog, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.3887 72, 3887 (1994).
12. S. A. Crooker, J. J. Baumberg, F. Flack, N. Samarth, and D. D. Awschalom, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2814 77, 2814 (1996);
13. S. A. Crooker, D. D. Awschalom, J. J. Baumberg, F. Flack, and N. Samarth, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.7574 56, 7574 (1997).
14. J. M. Kikkawa, I. P. Smorchkova, N. Samarth, and D. D. Awschalom, Science SCIEAS 0036-8075 10.1126/science.277.5330.1284 277, 1284 (1997).
15. Y. Ohno, R. Terauchi, T. Adachi, F. Matsukura, and H. Ohno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4196 83, 4196 (1999).
16. Y. Ohno, R. Terauchi, T. Adachi, F. Matsukura, and H. Ohno, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(99)00251-9 6, 817 (2000).
17. A. Malinowski, R. S. Britton, T. Grevatt, R. T. Harley, D. A. Ritchie, and M. Y. Simmons, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.13034 62, 13034 (2000);
18. M. A. Brand, A. Malinowski, O. Z. Karimov, P. A. Marsden, R. T. Harley, A. J. Shields, D. Sanvitto, D. A. Ritchie, and M. Y. Simmons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.236601 89, 236601 (2002).
19. T. Adachi, Y. Ohno, F. Matsukura, and H. Ohno, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(01)00049-2 10, 36 (2001).
20. O. Z. Karimov, G. H. John, R. T. Harley, W. H. Lau, M. E. Flatté, M. Henini, and R. Airey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.246601 91, 246601 (2003).
21. S. Döhrmann, D. Hägele, J. Rudolph, M. Bichler, D. Schuh, and M. Oestreich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.147405 93, 147405 (2004).
22. L. Lombez, P.-F. Braun, H. Carrère, B. Urbaszek, P. Renucci, T. Amand, X. Marie, J. C. Harmand, and V. K. Kalevich, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2150252 87, 252115 (2005).
23. J. Strand, X. Lou, C. Adelmann, B. D. Schultz, A. F. Isakovic, C. J. Palmstrom, and P. A. Crowell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 155308 72, 155308 (2005).
24. A. M. Tyryshkin, S. A. Lyon, W. Jantsch, and F. Schäffler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.126802 94, 126802 (2005).
25. A. W. Holleitner, V. Sih, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.036805 97, 036805 (2006).
26. M. I. D'yakonov and V. I. Perel', Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 60, 1954 (1971)
27. M. I. D'yakonov and V. I. Perel', [Sov. Phys. JETP SPHJAR 0038-5646 33, 1053 (1971)].
28. G. Dresselhaus, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.100.580 100, 580 (1955).
29. Y. A. Bychkov and E. I. Rashba, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 39, 66 (1984)
30. Y. A. Bychkov and E. I. Rashba, [JETP Lett. JTPLA2 0021-3640 10.1088/0022-3719/17/33/015 39, 78 (1984)].
31. D'yakonov and Kachorovskii, Fiz. Tekh. Poluprovodn. (S.-Peterburg) FTPPA4 0015-3222 20, 178 (1986)
32. D'yakonov and Kachorovskii, [Sov. Phys. Semicond. SPSEAX 0038-5700 20, 110 (1986)].
33. X. Cartoixà, L.-W. Wang, D. Z.-Y. Ting, and Y.-C. Chang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.205341 73, 205341 (2006).
34. W. H. Lau and M. E. Flatté, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.161311 72, 161311 (R) (2005).
35. J. Kainz, U. Rössler, and R. Winkler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195322 70, 195322 (2004).
36. W. H. Lau, J. T. Olesberg, and M. E. Flatté, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.161301 64, 161301 (R) (2001);
37. P. H. Song and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.035207 66, 035207 (2002);
38. F. X. Bronold, I. Martin, A. Saxena, and D. L. Smith, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.233206 66, 233206 (2002);
39. N. S. Averkiev, L. E. Golub, and M. Willander, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/12/202 14, R271 (2002);
40. S. Krishnamurthy, M. van Schilfgaarde, and N. Newman, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1606873 83, 1761 (2003);
41. F. X. Bronold, A. Saxena, and D. L. Smith, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245210 70, 245210 (2004);
42. S. W. Chang and S. L. Chuang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.115429 72, 115429 (2005);
43. Z. G. Yu, S. Krishnamurthy, M. van Schilfgaarde, and N. Newman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.245312 71, 245312 (2005);
44. O. Bleibaum, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.205202 69, 205202 (2004);
45. O. Bleibaum, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.235318 71, 235318 (2005);
46. X. Cartoixà, D. Z.-Y. Ting, and Y. C. Chang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045313 71, 045313 (2005).
47. M. W. Wu and H. Metiu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61. 2945 61, 2945 (2000);
48. M. W. Wu, J. Supercond. JOUSEH 0896-1107 10.1023/A:1007820304107 14, 245 (2001).
49. M. W. Wu and C. Z. Ning, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070021 18, 373 (2000).
50. M. W. Wu, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.2195 70, 2195 (2001).
51. M. W. Wu and C. Z. Ning, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/1521-3951(200011)222:2<523::AID-PSSB523>3.0.CO;2-0 222, 523 (2000);
52. M. W. Wu and M. Kuwata-Gonokami, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(02)00003-0 121, 509 (2002).
53. J. L. Cheng, M. Q. Weng, and M. W. Wu, Solid State Commun. SSCOA4 0038-1098 10.1016/j.ssc.2003.08.033 128, 365 (2003).
54. M. Q. Weng and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.235109 66, 235109 (2002);
55. M. Q. Weng and M. W. Wu, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1526936 93, 410 (2003);
56. M. Q. Weng, M. W. Wu, and Q. W. Shi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.125310 69, 125310 (2004);
57. L. Jiang, M. Q. Weng, M. W. Wu, and J. L. Cheng, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2136232 98, 113702 (2005).
58. M. Q. Weng and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.075312 68, 075312 (2003);
59. M. Q. Weng and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.199902 71, 199902 (E) (2005);
60. M. Q. Weng and M. W. Wu, Chin. Phys. Lett. CPLEEU 0256-307X 10.1088/0256-307X/22/3/042 22, 671 (2005).
61. M. Q. Weng, M. W. Wu, and L. Jiang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.245320 69, 245320 (2004).
62. M. Q. Weng and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195318 70, 195318 (2004).
63. L. Jiang and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 033311 72, 033311 (2005).
64. C. Lü, J. L. Cheng, and M. W. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.125314 73, 125314 (2006).
65. J. L. Cheng and M. W. Wu, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2190071 99, 083704 (2006).
66. E. Ya. Sherman, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1533839 82, 209 (2003).
67. H. Haug and A. P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductor (Spinger-Verlag, Berlin, 1996).
68. P. Vogl, in Physics of Nonlinear Transport in Semiconductor, edited by, K. Ferry,,, J. R. Barker,, and, C. Jacoboni, (Plenum, New York, 1980).
69. G. D. Mahan, in Polarons in Ionic Crystals and Polar Semiconductor, edited by, J. T. Devreese, (North-Holland, Amsterdam, 1972).
70. Semiconductors, Landolt-Börnstein, New Series, Vol. 17a, edited by, O. Madelung, (Springer, Berlin, 1987).
71. It is noted that the random phase approximation is valid for all the electron densities we discuss in the present paper according to the criterion given by M. Jonson, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/9/16/012 9, 3055 (1976).
72. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors (World Scientific, Singapore, 2004).
73. Semiconductors-Basic Data, edited by, Otfried Madelung, (Springer, Berlin, 1996), p. 151;
74. E. T. Yu, J. O. McCaldin, and T. C. McGill, Solid State Phys. SSPHAE 0081-1947 46, 1 (1992).
75. X. L. Lei, J. L. Birman, and C. S. Ting, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.335945 58, 2270 (1985).
76. M. Lundustrom, Fundamentals of the Carrier Transport (Cambridge University Press, Cambridge, England, 2000);
77. J. Singh, Physics of the Semiconductors and Their Heterostructures (McGraw-Hill, New York, 1993).
78. A. G. Aronov, G. E. Pikus, and A. N. Titkov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 84, 1170 (1983)
79. A. G. Aronov, G. E. Pikus, and A. N. Titkov, [Sov. Phys. JETP SPHJAR 0038-5646 57, 680 (1983)].
80. V. A. Marushchak, M. N. Stepanova, and A. N. Tikov, Fiz. Tverd. Tela (Leningrad) FTVTAC 0367-3294 25, 3537 (1983).
81. B. Jusserand, D. Richards, G. Allen, C. Priester, and B. Etienne, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.4707 51, 4707 (1995).
82. A. T. Gorelenko, B. A. Marushchak, and A. N. Tikov, Izv. Akad. Nauk SSSR, Ser. Fiz. IANFAY 0367-6765 50, 290 (1986).
83. M. Cardona, N. E. Christensen, and G. Fasol, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.1806 38, 1806 (1987).
84. A. N. Chantis, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086405 96, 086405 (2006).
85. P. Y. Yu and M. Cardona, Fundamentals of Semiconductors, 3rd ed. (Springer, Berlin, 2003), p. 222.
86. M. M. Glazov and E. L. Ivchenko, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 126, 1465 (2004)
87. M. M. Glazov and E. L. Ivchenko, [JETP JTPHES 1063-7761 10.1134/1.1854815 99, 1279 (2004)].
88. M. M. Glazov and E. L. Ivchenko, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 75, 476 (2002)
89. M. M. Glazov and E. L. Ivchenko, [JETP Lett. JTPLA2 0021-3640 10.1134/1.1490009 75, 403 (2002)].
90. R. T. Harley (private communication).
91. A. P. Dmitriev, V. Yu Kachorovskii, M. S. Shur, and M. Stroscio, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(99)00534-7 113, 565 (2000);
92. A. P. Dmitriev, V. Yu Kachorovskii, and M. S. Shur, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1351055 89, 3793 (2001).
93. E. M. Conwell, High Field Transport in Semiconductors (Academic, New York, 1967), p. 21.