Donor-driven spin relaxation in multivalley semiconductors

Physical Review Letters

Volumn 113, Issue 16, 2014, Pages

  Song, Yang ^a   Chalaev, Oleg ^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

MAGNETOELECTRONICS; SEMICONDUCTING SILICON; SEMICONDUCTOR DEVICES; SILICON;

CELL POTENTIAL; DONOR ATOMS; N TYPE SILICON; SEMICONDUCTOR SPINTRONICS; SPIN LIFETIMES; SPIN RELAXATION; SPIN-FLIP PROCESS; TIME-REVERSAL;

NANOTECHNOLOGY;

SILICON;

CHEMISTRY; SEMICONDUCTOR; THEORETICAL MODEL;

MODELS, THEORETICAL; SEMICONDUCTORS; SILICON;

EID: 84907919752     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.167201     Document Type: Article

References (65)

1. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.323
2. H. Dery, Y. Song, P. Li, and I. Žutić, Appl. Phys. Lett. 99, 082502 (2011). APPLAB 0003-6951 10.1063/1.3624923
3. R. Jansen, Nat. Mater. 11, 400 (2012). NMAACR 1476-1122 10.1038/nmat3293
4. G. Schmidt, D. Ferrand, L.W. Molenkamp, A.T. Filip, and B.J. van Wees, Phys. Rev. B 62, R4790(R) (2000). PRBMDO 0163-1829 10.1103/PhysRevB.62.R4790
5. E.I. Rashba, Phys. Rev. B 62, R16267(R) (2000). PRBMDO 0163-1829 10.1103/PhysRevB.62.R16267
6. A. Fert and H. Jaffrés, Phys. Rev. B 64, 184420 (2001). PRBMDO 0163-1829 10.1103/PhysRevB.64.184420
7. D.J. Monsma, J.C. Lodder, Th.J.A. Popma, and B. Dieny, Phys. Rev. Lett. 74, 5260 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.5260
8. B.Q. Huang, D.J. Monsma, and I. Appelbaum, Phys. Rev. Lett. 99, 177209 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.177209
9. Y. Lu, J. Li, and I. Appelbaum, Phys. Rev. Lett. 106, 217202 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.217202
10. P. Li, J. Li, L. Qing, H. Dery, and I. Appelbaum, Phys. Rev. Lett. 111, 257204 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.257204
11. Y. Lu, D. Lacour, G. Lengaigne, S.L. Gall, S. Suire, F. Montaigne, and M. Hehn, Appl. Phys. Lett. 103, 022407 (2013). APPLAB 0003-6951 10.1063/1.4813015
12. 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). APPLAB 0003-6951 10.1063/1.1580631
13. S.A. Crooker, M. Furis, X. Lou, C. Adelmann, D.L. Smith, C.J. Palmstrøm, and P.A. Crowell, Science 309, 2191 (2005). SCIEAS 0036-8075 10.1126/science.1116865
14. B.T. Jonker, G. Kioseoglou, A.T. Hanbicki, C.H. Li, and P.E. Thompson, Nat. Phys. 3, 542 (2007). NPAHAX 1745-2473 10.1038/nphys673
15. M. Shiraishi, Y. Honda, E. Shikoh, Y. Suzuki, T. Shinjo, T. Sasaki, T. Oikawa, K. Noguchi, and T. Suzuki, Phys. Rev. B 83, 241204(R) (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.241204
16. Y. Ando, K. Kasahara, K. Yamane, Y. Baba, Y. Maeda, Y. Hoshi, K. Sawano, M. Miyao, and K. Hamaya, Appl. Phys. Lett. 99, 012113 (2011). APPLAB 0003-6951 10.1063/1.3607480
17. J. Fabian, A. Matos-Abiague, C. Ertler, P. Stano, and I. Zutic, Acta Phys. Slovaca 57, 565 (2007); Chap. IV. APSVCO 0323-0465
18. H. Ue and S. Maekawa, Phys. Rev. B 3, 4232 (1971). PLRBAQ 0556-2805 10.1103/PhysRevB.3.4232
19. J.D. Quirt and J.R. Marko, Phys. Rev. B 5, 1716 (1972). PLRBAQ 0556-2805 10.1103/PhysRevB.5.1716
20. J.H. Pifer, Phys. Rev. B 12, 4391 (1975). PLRBAQ 0556-2805 10.1103/PhysRevB.12.4391
21. Y. Ochiai and E. Matsuura, Phys. Status Solidi (a) 45, K101 (1978). PSSABA 0031-8965 10.1002/pssa.2210450246
22. V. Zarifis and T.G. Castner, Phys. Rev. B 57, 14600 (1998). PRBMDO 0163-1829 10.1103/PhysRevB.57.14600
23. R. Jansen, S.P. Dash, S. Sharma, and B.C. Min, Semicond. Sci. Technol. 27, 083001 (2012). SSTEET 0268-1242 10.1088/0268-1242/27/8/083001
24. D. Chattopadhyay and H.J. Queisser, Rev. Mod. Phys. 53, 745 (1981). RMPHAT 0034-6861 10.1103/RevModPhys.53.745
25. J.R. Asik, M.A. Ball, and C.P. Slichter, Phys. Rev. Lett. 16, 740 (1966); PRLTAO 0031-9007 10.1103/PhysRevLett.16.740
26. J.R. Asik, M.A. Ball, and C.P. Slichter Phys. Rev. 181, 645 (1969); PHRVAO 0031-899X 10.1103/PhysRev.181.645
27. M.A. Ball, J.R. Asik, and C.P. Slichter, Phys. Rev. 181, 662 (1969). PHRVAO 0031-899X 10.1103/PhysRev.181.662
28. A.W. Overhauser, Phys. Rev. 89, 689 (1953). PHRVAO 0031-899X 10.1103/PhysRev.89.689
29. R.J. Elliott, Phys. Rev. 96, 266 (1954). PHRVAO 0031-899X 10.1103/PhysRev.96.266
30. Y. Yafet, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New York, 1963), Vol. 14, p. 1.
31. H.I. Ralph, G. Simpson, and R.J. Elliott, Phys. Rev. B 11, 2948 (1975). PLRBAQ 0556-2805 10.1103/PhysRevB.11.2948
32. G. Masetti, M. Severi, and S. Solmi, IEEE Trans. Electron Devices 30, 764 (1983). IETDAI 0018-9383 10.1109/T-ED.1983.21207
33. G. Kaiblinger-Grujin, H. Kosina, and S. Selberherr, J. Appl. Phys. 83, 3096 (1998). JAPIAU 0021-8979 10.1063/1.367067
34. F.J. Morin, T.H. Geballe, and C. Herring, Phys. Rev. 105, 525 (1957). PHRVAO 0031-899X 10.1103/PhysRev.105.525
35. V.F. Gantmakher and Y.B. Levinson, Carrier Scattering in Metals and Semiconductors (Modern Problems in Condensed Matter Sciences) (Elsevier, Amsterdam, 1987).
36. W. Kohn, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press, New York, 1957), Vol. 5.
37. T.G. Castner, Phys. Rev. 155, 816 (1967). PHRVAO 0031-899X 10.1103/PhysRev.155.816
38. R.L. Aggarwal and A.K. Ramdas, Phys. Rev. 140, A1246 (1965). PHRVAO 0031-899X 10.1103/PhysRev.140.A1246
39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.113.167201 for the detailed derivations of the three equations, estimation of spin relaxation due to scattering off the potential tail of ionized impurities, and a similar symmetry analysis for the case of germanium. This material includes Ref. [38].
40. C.J. Bradley and A.P. Cracknell, The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups (Clarendon Press, Oxford, 1972), p. 433.
41. Y. Ando, L. Qing, Y. Song, S. Yamada, K. Kasahara, K. Sawano, M. Miyao, H. Dery, and K. Hamaya, arXiv:1403.4509.
42. P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954). JUPSAU 0031-9015 10.1143/JPSJ.9.316
43. J.C. Bean, Appl. Phys. Lett. 33, 654 (1978). APPLAB 0003-6951 10.1063/1.90453
44. F.J. Morin and J.P. Maita, Phys. Rev. 96, 28 (1954). PHRVAO 0031-899X 10.1103/PhysRev.96.28
45. K.B. Wolfstirn, J. Phys. Chem. Solids 16, 279 (1960). JPCSAW 0022-3697 10.1016/0022-3697(60)90157-8
46. Y. Furukawa, J. Phys. Soc. Jpn. 16, 577 (1961). JUPSAU 0031-9015 10.1143/JPSJ.16.577
47. I. Gränacher and W. Czaja, J. Phys. Chem. Solids 28, 231 (1967). JPCSAW 0022-3697 10.1016/0022-3697(67)90113-8
48. F. Mousty, P. Ostoja, and L. Passari, J. Appl. Phys. 45, 4576 (1974). JAPIAU 0021-8979 10.1063/1.1663091
49. J.L. Cheng, M.W. Wu, and J. Fabian, Phys. Rev. Lett. 104, 016601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.016601
50. O.D. Restrepo and W. Windl, Phys. Rev. Lett. 109, 166604 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.166604
51. P. Li and H. Dery, Phys. Rev. Lett. 107, 107203 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.107203
52. J. Li, L. Qing, H. Dery, and I. Appelbaum, Phys. Rev. Lett. 108, 157201 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.157201
53. Y. Song and H. Dery, Phys. Rev. B 86, 085201 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.085201
54. J.-N. Chazalviel, J. Phys. Chem. Solids 36, 387 (1975). JPCSAW 0022-3697 10.1016/0022-3697(75)90063-3
55. M.I. Dyakonov and V.I. Perel, Sov. Phys. JETP 33, 1053 (1971); SPHJAR 0038-5646
56. M.I. Dyakonov and V.I. Perel Sov. Phys. Solid State 13, 3023 (1972). SPSSA7 0038-5654
57. J. Fabian and S. Das Sarma, Phys. Rev. Lett. 81, 5624 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.5624
58. D.J. Hilton and C.L. Tang, Phys. Rev. Lett. 89, 146601 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.146601
59. E.J. Loren, J. Rioux, C. Lange, J.E. Sipe, H.M. van Driel, and A.L. Smirl, Phys. Rev. B 84, 214307 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.214307
60. F. Pezzoli, F. Bottegoni, D. Trivedi, F. Ciccacci, A. Giorgioni, P. Li, S. Cecchi, E. Grilli, Y. Song, M. Guzzi, H. Dery, and G. Isella, Phys. Rev. Lett. 108, 156603 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.156603
61. I. Žutić and H. Dery, Nat. Mater. 10, 647 (2011). NMAACR 1476-1122 10.1038/nmat3097
62. B. Hemingway and I. Appelbaum, J. Appl. Phys. 114, 093907 (2013). JAPIAU 0021-8979 10.1063/1.4820467
63. J.-M. Tang, B.T. Collins, and M.E. Flatte, Phys. Rev. B 85, 045202 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.045202
64. D. Osintsev, V. Sverdlov, and S. Selberherr, Adv. Mat. Res. 854, 29 (2013). AMREFI 1662-8985 10.4028/www.scientific.net/AMR.854.29
65. P. Li, Y. Song, and H. Dery, Phys. Rev. B 86, 085202 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.085202