Electron diffusion in a two-dimensional disordered symplectic system with electron-phonon interactions

Journal of the Physical Society of Japan

Volumn 74, Issue 4, 2005, Pages 1240-1244

  Watanabe, Hirofumi ^a   Kawarabayashi, Tohru ^a   Ono, Yoshiyuki ^a  

^a TOHO UNIVERSITY   (Japan)

Author keywords

Anderson localization; Dephasing; Disordered systems; Electron phonon interactions; Symplectic universality class

Indexed keywords

EID: 24644447031     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.1240     Document Type: Article

References (24)

1. P. W. Anderson: Phys. Rev. 109 (1958) 1492.
2. P. A. Lee and T. V. Ramakrishnan: Rev. Mod. Phys. 57 (1985) 287.
3. B. Kramer and A. MacKinnon: Rep. Prog. Phys. 56 (1993) 1469.
4. E. Abrahams, P. W. Anderson, D. C. Licciardello and T. V. Ramakrashnan: Phys. Rev. Lett. 42 (1979) 673.
5. F. J. Dyson: J. Math. Phys. 3 (1962) 140.
6. F. J. Dyson: J. Math. Phys. 3 (1962) 157.
7. F. J. Dyson: J. Math. Phys. 3 (1962) 166.
8. S. Hikami, A. I. Larkin and Y. Nagaoka: Prog. Theor. Phys. 63 (1980) 707.
9. I. Zutic, J. Fabian and S. Sarma: Rev. Mod. Phys. 76 (2004) 323.
10. T. Nakanishi, T. Ohtsuki and T. Kawarabayashi: J. Phys. Soc. Jpn. 66 (1997) 949 [Erratum; 71 (2002) 2074].
11. T. Nakanishi and T. Ohtsuki: Physica B 249-251 (1998) 801.
12. T. Ando: Phys. Rev. B 40 (1989) 5325.
13. H. Watanabe, T. Kawarabayashi, Y. Ono and T. Ohtsuki: J. Phys. Soc. Jpn. 72 (2003) 645.
14. W. P. Su, J. R. Schrieffer and A. J. Heeger: Phys. Rev. Lett. 42 (1979) 1698.
15. C. Walker: Phys. Rev. 103 (1956) 547.
16. T. Kawarabayashi and T. Ohtsuki: Phys. Rev. B 53 (1996) 6975.
17. T. Kawarabayashi and T. Ohtsuki: Phys. Rev. B 51 (1995) 10897.
18. T. Ohtsuki and T. Kawarabayashi: J. Phys. Soc. Jpn. 66 (1997) 314.
19. M. Suzuki: Phys. Lett. A 146 (1990) 319.
20. M. Suzuki: J. Math. Phys. 32 (1991) 400.
21. M. Suzuki: J. Phys. Soc. Jpn. 61 (1992) 3015.
22. M. Suzuki: Phys. Lett. A 165 (1992) 387.
23. M. Suzuki: Proc. Jpn. Acad. Ser. B 69 (1993) 161.
24. This Einstein relation is applicable only at low temperatures where the temperature is much lower than the difference (of the order of V) between the Fermi level and the band bottom. In this sense, it may not be appropriate to apply this relation to the case with λ = 0.0001 where the data are obtained only for the temperature region T > V because of technical reason; it is rather difficult to determine the dynamical contribution at low temperatures for smaller values of λ as will be seen from Fig. 1. It will be less problematic to apply this Einstein relation for the cases with relatively large values of λ.