Interaction effects in conductivity of a two-valley electron system in high-mobility Si inversion layers

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 19, 2008, Pages

  Klimov, N N ^a,b   Knyazev, D A ^b   Omel'yanovskii, O E ^b   Pudalov, V M ^b   Kojima, H ^a   Gershenson, M E ^a  

^a State University of New Jersey   (United States)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349108965     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.195308     Document Type: Article

References (89)

1. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979). 10.1103/PhysRevLett.42.673
2. F. J. Wegner, Phys. Rev. B 19, 783 (1979). 10.1103/PhysRevB.19.783
3. B. L. Altshuler, A. G. Aronov, and P. A. Lee, Phys. Rev. Lett. 44, 1288 (1980) 10.1103/PhysRevLett.44.1288
4. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interaction in Disordered Systems, edited by, A. L. Efros, and, M. Pollak, (North-Holland, Amsterdam, 1985).
5. B. L. Altshuler, A. G. Aronov, M. E. Gershenson, and Yu. V. Sharvin, Sov. Sci. Rev., Sect. A 9, 223 (1987).
6. D. J. Bishop, D. C. Tsui, and R. C. Dynes, Phys. Rev. Lett. 44, 1153 (1980) 10.1103/PhysRevLett.44.1153
7. D. J. Bishop, R. C. Dynes, and D. C. Tsui, Phys. Rev. B 26, 773 (1982). 10.1103/PhysRevB.26.773
8. V. T. Dolgopolov, S. I. Dorozhkin, and A. A. Shashkin, Solid State Commun. 50, 273 (1984). 10.1016/0038-1098(84)90811-1
9. L. P. Gorkov, A. I. Larkin, and D. E. Khmelnitskii, Pis'ma Zh. Eksp. Teor. Fiz. 30, 248 (1979)
10. L. P. Gorkov, A. I. Larkin, and D. E. Khmelnitskii, [JETP Lett. 30, 228 (1979)].
11. M. S. Burdis and C. C. Dean, Phys. Rev. B 38, 3269 (1988). 10.1103/PhysRevB.38.3269
12. K. M. Cham and R. G. Wheeler, Phys. Rev. Lett. 44, 1472 (1980). 10.1103/PhysRevLett.44.1472
13. R. P. Smith and P. J. Stiles, Solid State Commun. 58, 511 (1986). 10.1016/0038-1098(86)90786-6
14. T. N. Zavaritskaya and E. I. Zavaritskaya, Pis'ma Zh. Eksp. Teor. Fiz. 45, 476 (1987)
15. T. N. Zavaritskaya and E. I. Zavaritskaya, [JETP Lett. 45, 609 (1987)].
16. E. A. Virodov, V. T. Dolgopolov, S. I. Dorozhkin, and N. B. Zhitenev, Zh. Eksp. Teor. Fiz. 94, 234 (1988)
17. E. A. Virodov, V. T. Dolgopolov, S. I. Dorozhkin, and N. B. Zhitenev, [Sov. Phys. JETP 67, 998 (1988)].
18. S. V. Kravchenko, G. V. Kravchenko, J. E. Furneaux, V. M. Pudalov, and M. D'Iorio, Phys. Rev. B 50, 8039 (1994). 10.1103/PhysRevB.50.8039
19. Y. Hanein, U. Meirav, D. Shahar, C. C. Li, D. C. Tsui, and H. Shtrikman, Phys. Rev. Lett. 80, 1288 (1998) 10.1103/PhysRevLett.80.1288
20. Y. Hanein, D. Shahar, J. Yoon, C. C. Li, D. C. Tsui, and H. Shtriktman, Phys. Rev. B 58, R7520 (1998) 10.1103/PhysRevB.58.R7520
21. A. R. Hamilton, M. Y. Simmons, M. Pepper, E. H. Linfield, P. D. Rose, and D. A. Ritchie, Phys. Rev. Lett. 82, 1542 (1999) 10.1103/PhysRevLett.82.1542
22. A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 83, 2805 (1999). 10.1103/PhysRevLett.83.2805
23. M. Y. Simmons, A. R. Hamilton, M. Pepper, E. H. Linfield, P. D. Rose, D. A. Ritchie, A. K. Savchenko, and T. G. Griffiths, Phys. Rev. Lett. 80, 1292 (1998) 10.1103/PhysRevLett.80.1292
24. J. Yoon, C. C. Li, D. Shahar, D. C. Tsui, and M. Shayegan, Phys. Rev. Lett. 82, 1744 (1999). 10.1103/PhysRevLett.82.1744
25. S. J. Papadakis, E. P. De Poortere, H. C. Manoharan, M. Shayegan, and R. Winkler, Science 283, 2056 (1999). 10.1126/science.283.5410.2056
26. Y. Hanein, D. Shahar, H. Shtrikman, J. Yoon, C. C. Li, and D. C. Tsui, Nature (London) 400, 735 (1999). 10.1038/23419
27. Y. Hanein, D. Shahar, J. Yoon, C. C. Li, D. C. Tsui, and H. Shtrikman, Phys. Rev. B 58, R13338 (1998). 10.1103/PhysRevB.58.R13338
28. E. Ribeiro, R. D. Jäggi, T. Heinzel, K. Ensslin, G. Medeiros-Ribeiro, and P. M. Petroff, Phys. Rev. Lett. 82, 996 (1999). 10.1103/PhysRevLett.82.996
29. P. T. Coleridge, R. L. Williams, Y. Feng, and P. Zawadzki, Phys. Rev. B 56, R12764 (1997) 10.1103/PhysRevB.56.R12764
30. J. Lam, M. D'Iorio, D. Brown, and H. Lafontaine, Phys. Rev. B 56, R12741 (1997) 10.1103/PhysRevB.56.R12741
31. P. T. Coleridge, A. S. Sachrajda, and P. Zawadzki, Phys. Rev. B 65, 125328 (2002). 10.1103/PhysRevB.65.125328
32. S. J. Papadakis and M. Shayegan, Phys. Rev. B 57, R15068 (1998). 10.1103/PhysRevB.57.R15068
33. F. Stern and W. E. Howard, Phys. Rev. 163, 816 (1967) 10.1103/PhysRev.163.816
34. A. Gold and V. T. Dolgopolov, Phys. Rev. B 33, 1076 (1986) 10.1103/PhysRevB.33.1076
35. S. Das Sarma, Phys. Rev. B 33, 5401 (1986) 10.1103/PhysRevB.33.5401
36. S. Das Sarma and E. H. Hwang, Phys. Rev. Lett. 83, 164 (1999) 10.1103/PhysRevLett.83.164
37. S. Das Sarma and E. H. Hwang, Phys. Rev. B 69, 195305 (2004). 10.1103/PhysRevB.69.195305
38. D. Simonian, S. V. Kravchenko, M. P. Sarachik, and V. M. Pudalov, Phys. Rev. Lett. 79, 2304 (1997) 10.1103/PhysRevLett.79.2304
39. V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, JETP Lett. 65, 932 (1997).
40. T. Okamoto, K. Hosoya, S. Kawaji, and A. Yagi, Phys. Rev. Lett. 82, 3875 (1999). 10.1103/PhysRevLett.82.3875
41. V. M. Pudalov, M. E. Gershenson, H. Kojima, N. Butch, E. M. Dizhur, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. Lett. 88, 196404 (2002). 10.1103/PhysRevLett.88.196404
42. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001) 10.1103/PhysRevB.64.214204
43. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 65, 020201 (R) (2001). 10.1103/PhysRevB.65.020201
44. I. V. Gornyi and A. D. Mirlin, Phys. Rev. B 69, 045313 (2004). 10.1103/PhysRevB.69.045313
45. A. M. Finkel'stein, Z. Phys. B: Condens. Matter 56, 189 (1984) 10.1007/BF01304171
46. A. M. Finkel'stein, Sov. Sci. Rev., Sect. A 14, 1 (1990).
47. A. Punnoose and A. M. Finkel'stein, Phys. Rev. Lett. 88, 016802 (2001). 10.1103/PhysRevLett.88.016802
48. A. Punnoose and A. M. Finkel'stein, Science 310, 289 (2005). 10.1126/science.1115660
49. D. A. Knyazev, O. E. Omel'yanovskii, V. M. Pudalov, and I. S. Burmistrov, JETP Lett. 84, 662 (2006).
50. S. Anissimova, S. V. Kravchenko, A. Punnoose, A. M. Finkel'stein, and T. M. Klapwijk, Nat. Phys. 3, 707 (2007). 10.1038/nphys685
51. D. A. Knyazev, O. E. Omel'yanovskii, V. M. Pudalov, and I. S. Burmistrov, Phys. Rev. Lett. 100, 046405 (2008). 10.1103/PhysRevLett.100.046405
52. C. Castellani, C. Di Castro, P. A. Lee, and M. Ma, Phys. Rev. B 30, 527 (1984). 10.1103/PhysRevB.30.527
53. C. Castellani, C. Di Castro, and P. A. Lee, Phys. Rev. B 57, R9381 (1998). 10.1103/PhysRevB.57.R9381
54. A. A. Shashkin, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. B 66, 073303 (2002). 10.1103/PhysRevB.66.073303
55. V. M. Pudalov, M. E. Gershenson, H. Kojima, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. Lett. 91, 126403 (2003). 10.1103/PhysRevLett.91.126403
56. S. A. Vitkalov, K. James, B. N. Narozhny, M. P. Sarachik, and T. M. Klapwijk, Phys. Rev. B 67, 113310 (2003). 10.1103/PhysRevB.67.113310
57. W. R. Clarke, C. E. Yasin, A. R. Hamilton, A. P. Micolich, M. Y. Simmons, K. Muraki, Y. Hirayama, M. Pepper, and D. A. Ritchie, Nat. Phys. 4, 55 (2008). 10.1038/nphys757
58. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982). 10.1103/RevModPhys.54.437
59. I. S. Burmistrov and N. M. Chtchelkatchev, JETP Lett. 84, 558 (2006)
60. I. S. Burmistrov and N. M. Chtchelkatchev, Phys. Rev. B 77, 195319 (2008). 10.1103/PhysRevB.77.195319
61. O. Prus, M. Reznikov, U. Sivan, and V. Pudalov, Phys. Rev. Lett. 88, 016801 (2001). 10.1103/PhysRevLett.88.016801
62. M. E. Gershenson, V. M. Pudalov, H. Kojima, N. Butch, E. M. Dizhur, G. Brunthaler, A. Prinz, and G. Bauer, Physica E (Amsterdam) 12, 585 (2002). 10.1016/S1386-9477(01)00376-9
63. I. M. Lifshitz and A. M. Kosevich, Zh. Eksp. Teor. Fiz. 29, 730 (1955)
64. A. Isihara and L. Smrćka, J. Phys. C 19, 6777 (1986). 10.1088/0022-3719/19/34/015
65. G. W. Martin, D. L. Maslov, and M. Yu. Reizer, Phys. Rev. B 68, 241309 (R) (2003). 10.1103/PhysRevB.68.241309
66. Y. Adamov, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. B 73, 045426 (2006). 10.1103/PhysRevB.73.045426
67. Interaction correction to the conductivity [Eqs. 1 2 3] in the ballistic regime has the form δσ (T) / σD =Tτ [1+15 F0σ / (1+ F0σ)] /π σD.
68. The quantum correction to the transport scattering rate τ-1 differs from that for the quantum scattering rate τD -1 by the term [1-cos (φ)] in the integrand, where φ is the scattering angle. According to ZNA theory (Ref.), the interaction corrections to the conductivity are determined by backscattering events for which φ≈π or [1-cos (φ)] ≈2.
69. V. M. Pudalov, A. Punnoose, G. Brunthaler, A. Prinz, and G. Bauer, arXiv:cond-mat/0104347 (unpublished)
70. In this paper, three Si-MOSFET samples with anomalously large values ΔV ∼1-2 K were studied; the high ΔV values enabled observation of the SdH oscillation beats in low magnetic fields.
71. V. M. Pudalov, S. G. Semenchinskii, and V. S. Edelman, Pis'ma Zh. Eksp. Teor. Fiz. 41, 265 (1985)
72. V. M. Pudalov, S. G. Semenchinskii, and V. S. Edelman, [JETP Lett. 41, 325 (1985)].
73. A. Yu. Kuntsevich, N. N. Klimov, S. A. Tarasenko, N. S. Averkiev, V. M. Pudalov, H. Kojima, and M. E. Gershenson, Phys. Rev. B 75, 195330 (2007). 10.1103/PhysRevB.75.195330
74. U. Kunze and G. Lautz, Surf. Sci. 142, 314 (1984). 10.1016/0039-6028(84) 90328-5
75. F. F. Fang, A. B. Fowler, and A. Hartstein, Phys. Rev. B 16, 4446 (1977). 10.1103/PhysRevB.16.4446
76. A. B. Fowler, F. Fang, W. E. Howard, and P. J. Stiles, Phys. Rev. Lett. 16, 901 (1966). 10.1103/PhysRevLett.16.901
77. F. Fang and P. J. Stiles, Phys. Rev. 174, 823 (1968). 10.1103/PhysRev.174.823
78. J. L. Smith and P. J. Stiles, Phys. Rev. Lett. 29, 102 (1972). 10.1103/PhysRevLett.29.102
79. Our revision of the analysis of SdH data (described in Sec. 3 1) modifies the m* values only at low densities (rs >4) and does not affect m*(rs →0) =0.205 me, adopted as the best estimate for mb.
80. The chosen value mb =0.205 me does not contradict the cyclotron resonance data. Due to the Kohn theorem, the mass measured in the cyclotron resonance experiments is believed to be unrenormalized and equal to the band mass (and hence, independent of density). G. Abstreiter, J. P. Kotthaus, J. F. Koch, and G. Dorda, Phys. Rev. B 14, 2480 (1976) observed the far-infrared cyclotron resonance and obtained mc = (0.197±0.005) me independent of n for n>1× 1012 cm-2. However, for n<1× 1012 cm-2, they observed a sample-dependent noticeable increase in mc with decreasing density (up to 0.215 me at n=5× 1011 cm-2), which was attributed to the localization effects. 10.1103/PhysRevB.14.2480
81. J. Huang, J. S. Xia, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 98, 226801 (2007). 10.1103/PhysRevLett.98.226801
82. V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. B 60, R2154 (1999). 10.1103/PhysRevB.60.R2154
83. X. P. A. Gao, A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 88, 166803 (2002). 10.1103/PhysRevLett.88.166803
84. V. M. Pudalov, M. Gershenson, and H. Kojima, in Fundamental Problems of Mesoscopic Physics, edited by, I. V. Lerner,,, B. L. Altshuler,, and, Y. Gefen, (Kluwer, Dordrecht, 2004), pp. 309-327.
85. P. M. Mensz and R. G. Wheeler, Phys. Rev. B 35, 2844 (1987). 10.1103/PhysRevB.35.2844
86. H. Mathur and H. U. Baranger, Phys. Rev. B 64, 235325 (2001). 10.1103/PhysRevB.64.235325
87. G. M. Minkov, O. E. Rut, A. V. Germanenko, A. A. Sherstobitov, B. N. Zvonkov, V. I. Shashkin, O. I. Khrykin, and D. O. Filatov, Phys. Rev. B 70, 035304 (2004). 10.1103/PhysRevB.70.035304
88. J. S. Meyer, V. I. Fal'ko, and B. L. Altshuler, in Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems, NATO Science Series II: Physics, edited by, I. V. Lerner,,, B. L. Altshuler,,, V. I. Fal'ko,, and, T. Giamarchi, (Kluwer, Dordrecht, 2002), Vol. 72, pp. 117-164.
89. S. V. Kravchenko, A. A. Shashkin, D. A. Bloore, and T. M. Klapwijk, Solid State Commun. 116, 495 (2000). 10.1016/S0038-1098(00)00361-6