Random-Mass Dirac Fermions in an Imaginary Vector Potential: Delocalization Transition and Localization Length

Journal of the Physical Society of Japan

Volumn 70, Issue 12, 2001, Pages 3623-3631

  Takeda, Koujin ^a   Ichinose, Ikuo ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Anderson localization; Anderson transition; Correlated disorder; Disordered system; Localization length

Indexed keywords

EID: 0035563088     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.3623     Document Type: Article

References (26)

1. P. W. Anderson: Phys. Rev. 109 (1958) 1492.
2. A. A. Ovchinnikov and N. S. Erikhman: Sov. Phys.-JETP 46 (1977) 340.
3. A. Comtet, J. Desbois and C. Monthus: Ann. Phys. 239 (1994) 312.
4. D. S. Fisher: Phys. Rev. B 50 (1994) 3799; ibid. 51 (1995) 6411.
5. D. S. Fisher: Phys. Rev. B 50 (1994) 3799; ibid. 51 (1995) 6411.
6. L. Balents and M. P. A. Fisher: Phys. Rev. B 56 (1997) 12970.
7. H. Mathur: Phys. Rev. B 56 (1997) 15794.
8. M. Steiner, M. Fabrizio and A. O. Gogolin: Phys. Rev. B 57 (1998) 8290.
9. D. G. Shelton and A. M. Tsvelik: Phys. Rev. B 57 (1998) 14242.
10. A. O. Gogolin, A. A. Nersesyan, A. M. Tsvelik and Lu Yu: Nucl. Phys. B 540 (1999) 705.
11. K. Takeda, T. Tsurumaru, I. Ichinose and M. Kimura: Nucl. Phys. B 556 (1999) 545.
12. I. Ichinose and M. Kimura: Nucl. Phys. B 554 (1999) 607.
13. I. Ichinose and M. Kimura: Nucl. Phys. B 554 (1999) 027.
14. N. Hatano and D. R. Nelson: Phys. Rev. Lett. 77 (1996) 570; Phys. Rev. B 56 (1997) 8051.
15. N. Hatano and D. R. Nelson: Phys. Rev. Lett. 77 (1996) 570; Phys. Rev. B 56 (1997) 8051.
16. See for example, A. MacKinnon and B. Kramer: Z. Phys. B 53 (1983) 1.
17. A. J. Niemi and G. W. Semenoff: Phys. Rep. 135 (1986) 99.
18. K. Takeda and I. Ichinose: future publication.
19. K. Takeda and I. Ichinose: work in progress.
20. A similar TMM is used for the Anderson model with delta-function type potentials of random strengths. See for example, B. S. Andereck and E. Abrahams: J. Phys. C 13 (1980) L383; P. Erdös and R. C. Herndon: Adv. Phys. 31 (1982) 65. There eigenfunctions are given by plane waves.
21. A similar TMM is used for the Anderson model with delta- function type potentials of random strengths. See for example, B. S. Andereck and E. Abrahams: J. Phys. C 13 (1980) L383; P. Erdös and R. C. Herndon: Adv. Phys. 31 (1982) 65. There eigenfunctions are given by plane waves.
22. G. Theodoro and M. H. Cohen: Phys. Rev. B 13 (1976) 4597.
23. T. P. Eggarter and R. Riedinger: Phys. Rev. B 18 (1978) 569.
24. Francisco A. B. F. de Moura and Marcelo L. Lyra: Phys. Rev. Lett. 81 (1998) 3735: F. M. Izrailev and A. A. Krokhin: ibid. 82 (1999) 4062.
25. Francisco A. B. F. de Moura and Marcelo L. Lyra: Phys. Rev. Lett. 81 (1998) 3735: F. M. Izrailev and A. A. Krokhin: ibid. 82 (1999) 4062.
26. B. Huckestein: Rev. Mod. Phys. 67 (1995) 357.