Elastic spin-relaxation processes in semiconductor quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 19, 2007, Pages

  Semenov, Y G ^a   Kim, K W ^a  

^a North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347353298     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.195342     Document Type: Article

References (111)

1. V. Cerletti, W. A. Coish, O. Guwat, and D. Loss, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/16/4/R01 16, R27 (2005).
2. K. A. Valiev, Phys. Usp. PHUSEY 1063-7869 10.1070/PU2005v048n01ABEH002024 48, 1 (2005).
3. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.323 76, 323 (2004).
4. F. X. Bronold, A. Saxena, and D. L. Smith, in Solid State Physics, edited by, H. Ehrenreich, and, F. Spaepen, (Academic, New York, 2004), Vol. 58.
5. X. Hu and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100501 96, 100501 (2006).
6. P. Facchi, S. Montangero, R. Fazio, and S. Pascazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.060306 71, 060306 (R) (2005).
7. X. Marie, T. Amand, P. Le Jeune, M. Paillard, P. Renucci, L. E. Golub, V. D. Dymnikov, and E. L. Ivchenko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.5811 60, 5811 (1999).
8. Y. G. Semenov, K. N. Borysenko, and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.113302 66, 113302 (2002).
9. M. M. Glazov and E. Y. Sherman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.241312 71, 241312 (R) (2005).
10. I. A. Merkulov, A. L. Efros, and M. Rosen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.205309 65, 205309 (2002).
11. Y. G. Semenov and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.073301 67, 073301 (2003).
12. P.-F. Braun, X. Marie, L. Lombez, B. Urbaszek, T. Amand, P. Renucci, V. K. Kalevich, K. V. Kavokin, O. Krebs, P. Voisin, and Y. Masumoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.116601 94, 116601 (2005).
13. A. M. Tyryshkin, S. A. Lyon, A. V. Astashkin, and A. M. Raitsimring, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.193207 68, 193207 (2003).
14. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2890 86, 2890 (2001).
15. M. S. Byrd, D. A. Lidar, L.-A. Wu, and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052301 71, 052301 (2005).
16. A. V. Khaetskii and Y. V. Nazarov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.125316 64, 125316 (2001).
17. C. Tahan, M. Friesen, and R. Joynt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.035314 66, 035314 (2002).
18. B. A. Glavin and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.045308 68, 045308 (2003).
19. V. N. Golovach, A. Khaetskii, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.016601 93, 016601 (2004).
20. V. I. Fal'ko, B. L. Altshuler, and O. Tsyplyatev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.076603 95, 076603 (2005).
21. E. Y. Sherman and D. J. Lockwood, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.125340 72, 125340 (2005).
22. R. Orbach, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 246, 458 (1961).
23. C. B. Finn, R. Orbach, and P. W. Wolf, Proc. Phys. Soc. London PPSOAU 0370-1328 10.1088/0370-1328/77/2/305 77, 261 (1961).
24. A. V. Khaetskii and Y. V. Nazarov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12639 61, 12639 (2000).
25. M. C. Terrile, H. Panepucci, and R. A. Cavalho, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.1110 15, 1110 (1977).
26. V. Y. Zevin, V. I. Konovalov, and B. D. Shanina, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 59, 561 (1970)
27. V. Y. Zevin, V. I. Konovalov, and B. D. Shanina, [Sov. Phys. JETP SPHJAR 0038-5646 32, 306 (1971)].
28. R. Hernandez and M. B. Wallker, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.4.3821 4, 3821 (1971).
29. W. Heitler, The Quantum Theory of Radiation (Dover, New York, 1984).
30. L. K. Aminov, Phys. Status Solidi B PSSBBD 0370-1972 50, 405 (1972).
31. A. Abragam, The Principles of Nuclear Magnetism (Clarendon, Oxford, 1961).
32. S. A. Al'tshuler and B. M. Kozyrev, Electron Paramagnetic Resonance in Compounds of Transition Elements (Wiley, New York, 1974).
33. R. de Sousa and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.033301 67, 033301 (2003).
34. Y. C. Cheng and R. J. Silbey, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052325 69, 052325 (2004).
35. Y. G. Semenov and K. W. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.085305 70, 085305 (2004).
36. D. Mozyrsky, S. Kogan, V. N. Gorshkov, and G. P. Berman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.245213 65, 245213 (2002).
37. Y. G. Semenov and K. W. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.026601 92, 026601 (2004).
38. J. R. Klauder and P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.125.912 125, 912 (1962).
39. W. B. Mims, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.168.370 168, 370 (1968).
40. M. Chiba and A. Hirai, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.33.730 33, 730 (1972).
41. R. de Sousa and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.115322 68, 115322 (2003).
42. W. Yao, R. B. Liu, and L. J. Sham, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.195301 74, 195301 (2006).
43. C. Deng and X. Hu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73. 241303 73, 241303 (R) (2006).
44. W. M. Witzel and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.035322 74, 035322 (2006).
45. A. V. Khaetskii, D. Loss, and L. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.186802 88, 186802 (2002).
46. D. Gamliel and J. H. Freed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.3238 39, 3238 (1989).
47. Y. A. Serebrennikov and U. E. Steiner, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(94)00358-0 222, 309 (1994).
48. Y. A. Serebrennikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.266601 93, 266601 (2004).
49. D. Pines, J. Bardeen, and C. P. Slichter, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.489 106, 489 (1957).
50. V. A. Abalmassov and F. Marquardt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.075313 70, 075313 (2004).
51. I. Waller, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01349398 79, 370 (1932).
52. I. Dzyaloshinskii, Phys. Chem. Solids PCSOA7 0369-8726 10.1016/0022-3697(58)90076-3 4, 241 (1958).
53. T. Moriya, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.120.91 120, 91 (1960).
54. D. Scalbert, Phys. Status Solidi B PSSBBD 0370-1972 193, 189 (1996).
55. K. V. Kavokin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.075305 64, 075305 (2001).
56. D. V. Bulaev and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.076805 95, 076805 (2005).
57. A. F. Zinov'eva, A. V. Nenashev, and A. V. Dvurechenskiǐ, JETP Lett. JTPLA2 0021-3640 10.1134/1.2130917 82, 302 (2005).
58. P. Stano and J. Fabian, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.155410 72, 155410 (2005).
59. P. Stano and J. Fabian, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.045320 74, 045320 (2006).
60. R. de L. Kronig, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/S0031-8914(39)80015-5 6, 33 (1939).
61. J. H. Van Vleck, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.57.426 57, 426 (1940).
62. Y. A. Bychkov and E. I. Rashba, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 39, 66 (1984)
63. Y. A. Bychkov and E. I. Rashba, [JETP Lett. JTPLA2 0021-3640 10.1088/0022-3719/17/33/015 39, 78 (1984)].
64. M. I. D'yakonov and V. Y. Kocharovskii, Fiz. Tekh. Poluprovodn. (S.-Peterburg) FTPPA4 0015-3222 20, 178 (1986)
65. M. I. D'yakonov and V. Y. Kocharovskii, [Sov. Phys. Semicond. SPSEAX 0038-5700 20, 110 (1986)].
66. L. M. Woods, T. L. Reinecke, and Y. Lyanda-Geller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.161318 66, 161318 (R) (2002).
67. S. I. Erlingsson and Y. V. Nazarov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.155327 66, 155327 (2002).
68. W. Yang and K. Chang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 075303 72, 075303 (2005).
69. A. A. Kiselev, E. L. Ivchenko, A. A. Sirenko, T. Ruf, M. Cardona, D. R. Yakovlev, W. Ossau, A. Waag, and G. Landwehr, J. Cryst. Growth JCRGAE 0022-0248 184/185, 831 (1998).
70. E. L. Ivchenko, A. A. Kiselev, and M. Willander, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(97)00009-4 102, 375 (1997).
71. A. D. Margulis and V. A. Margulis, Sov. Phys. Solid State SPSSA7 0038-5654 25, 934 (1983).
72. N. S. Averkiev and L. E. Golub, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.15582 60, 15582 (1999).
73. N. G. Koloskova, Fiz. Tverd. Tela (Leningrad) FTVTAC 0367-3294 5, 61 (1963)
74. N. G. Koloskova, [Sov. Phys. Solid State SPSSA7 0038-5654 5, 40 (1963)].
75. Y. G. Semenov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.115319 67, 115319 (2003).
76. P. G. Klemens, Solid State Physics (Academic, New York, 1958), Vol. 7, p. 1.
77. D. N. Zubarev, Usp. Fiz. Nauk UFNAAG 0042-1294 71, 71 (1960)
78. D. N. Zubarev, [Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/ PU1960v003n03ABEH003275 3, 320 (1960)].
79. K. N. Pathak, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.139.A1569 139, A1569 (1965).
80. Y. J. Han and P. G. Klemens, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.6033 48, 6033 (1993).
81. P. Carruthers, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.33.92 33, 92 (1961).
82. C. J. Glassbrenner and G. A. Slack, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.134.A1058 134, A1058 (1964).
83. J. Callaway, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.113.1046 113, 1046 (1959).
84. L. Roth, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1534 118, 1534 (1960).
85. H. Hasegawa, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1523 118, 1523 (1960).
86. D. K. Wilson and G. Feher, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.1068 124, 1068 (1961).
87. E. R. Glaser, T. A. Kennedy, B. Molnar, R. S. Sillmon, M. G. Spencer, M. Mizuta, and T. F. Kuech, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.14540 43, 14540 (1991).
88. B. I. Kochelaev, Sov. Phys. JETP SPHJAR 0038-5646 37, 171 (1960).
89. C.-Y. Huang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.154.215 154, 215 (1967).
90. A. R. Bhatt, K. W. Kim, and M. A. Stroscio, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.358498 76, 3905 (1994).
91. V. N. Stavrou and X. Hu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.075362 72, 075362 (2005).
92. A. A. Kiselev, E. L. Ivchenko, and U. Rössler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.16353 58, 16353 (1998).
93. D. Paget, G. Lampel, B. Sapoval, and V. I. Safarov, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.5780 15, 5780 (1977).
94. G. Grosso, G. Pastori Parravicini, and C. Piermarocchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.16393 54, 16393 (1996).
95. V. N. Smelyanskiy, A. G. Petukhov, and V. V. Osipov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.081304 72, 081304 (R) (2005).
96. R. Vrijen, E. Yablonovitch, K. Wang, H. W. Jiang, A. Balandin, V. Roychowdhury, T. Mor, and D. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.012306 62, 012306 (2000).
97. M. A. Krivoglaz, Theory of X-ray and Thermal-Neutron Scattering by Real Crystals (Plenum, New York, 1969).
98. V. E. Kustov, M. G. Mil'vitskii, Y. G. Semenov, B. M. Turovskii, V. I. Shakhovtsov, and V. L. Shindich, Sov. Phys. Semicond. SPSEAX 0038-5700 20, 169 (1986).
99. P. N. Argyries and P. L. Kelly, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.134.A98 134, A98 (1964).
100. P. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731409 33, 1338 (1960).
101. The existence of main axes for g tensor can be proven at an arbitrarily low symmetry; see V. G. Grachev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 92, 1834 (1987)
102. V. G. Grachev, [Sov. Phys. JETP SPHJAR 0038-5646 65, 1029 (1987)].
103. A. Sher and H. Primakoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.119.178 119, 178 (1960).
104. L. A. Khalfin, JETP Lett. JTPLA2 0021-3640 8, 65 (1968).
105. K. Urbanowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.2847 50, 2847 (1994).
106. B. Misra and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523304 18, 756 (1977).
107. C. P. Slichter, Principles of Magnetic Resonance (Springer-Verlag, New York, 1992).
108. V. Zevin, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.2447 11, 2447 (1975).
109. The anisotropy of Eq. 17 as well as the correlation between all the spin components of s are the main distinctions between these equations and the well-known Bloch-Redfield equations [see, for instance, K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1996)].
110. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1978).
111. G. E. Pikus and A. N. Titkov, in Optical Orientation, edited by, F. Meier, and, B. P. Zakharchenia, (Elsevier, Amsterdam, 1984), Chap..