Density of states in coupled chains with off-diagonal disorder

Physical Review Letters

Volumn 84, Issue 13, 2000, Pages

  Brouwer, P W ^a   Mudry, C ^a   Furusaki, A ^b  

^a HARVARD UNIVERSITY   (United States)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED CHAINS; DENSITY OF STATES (DOS); LOCALIZATION; TIME-REVERSAL SYMMETRY;

BROWNIAN MOVEMENT; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATRIX ALGEBRA; PARAMETER ESTIMATION; RANDOM PROCESSES; SEMICONDUCTOR MATERIALS;

QUANTUM THEORY;

EID: 0000335361     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.2913     Document Type: Article

References (24)

1. F.J. Dyson, Phys. Rev. 92, 1331 (1953).
2. G. Theodorou and M. H. Cohen, Phys. Rev. B 13, 4597 (1976).
3. T. P. Eggarter and R. Riedinger, Phys. Rev. B 18, 569 (1978).
4. D.S. Fisher, Phys. Rev. B 50, 3799 (1994); 51, 6411 (1995).
5. D.S. Fisher, Phys. Rev. B 50, 3799 (1994); 51, 6411 (1995).
6. A. Comtet, J. Desbois, and C. Monthus, Ann. Phys. (N.Y.) 239, 312 (1995).
7. J. P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
8. A.A. Ovchinnikov and N.S. Érikhman, Zh. Eksp. Teor. Fiz. 73, 650 (1977) [Sov. Phys. JETP 46, 340 (1977)].
9. A.A. Ovchinnikov and N.S. Érikhman, Zh. Eksp. Teor. Fiz. 73, 650 (1977) [Sov. Phys. JETP 46, 340 (1977)].
10. P. A. Lee, T. M. Rice, and P.W. Anderson, Phys. Rev. Lett. 31, 462 (1973).
11. D.J. Thouless, J. Phys. C 5, 77 (1972).
12. J. Miller and J. Wang, Phys. Rev. Lett. 76, 1461 (1996).
13. P.W. Brouwer, C. Mudry, B.D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998).
14. See A. Furusaki, Phys. Rev. Lett. 82, 604 (1999), and references therein.
15. M. Inui, S.A. Trugman, and E. Abrahams, Phys. Rev. B 49, 3190 (1994).
16. T. Nagao and K. Slevin, J. Math. Phys. 34, 2075 (1993); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); A.V. Andreev, B.D. Simons, and N. Taniguchi, Nucl. Phys. B432, 487 (1994).
17. T. Nagao and K. Slevin, J. Math. Phys. 34, 2075 (1993); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); A.V. Andreev, B.D. Simons, and N. Taniguchi, Nucl. Phys. B432, 487 (1994).
18. T. Nagao and K. Slevin, J. Math. Phys. 34, 2075 (1993); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); A.V. Andreev, B.D. Simons, and N. Taniguchi, Nucl. Phys. B432, 487 (1994).
19. For a review, see C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
20. The value of η depends on details of the microscopic model. For details, see P.W. Brouwer, C. Mudry, and A. Furusaki, cond-mat/9904201. One has η = 0 in the random flux model, while η = 1 in the microscopic model of Ref. [11].
21. H. Schmidt, Phys. Rev. 105, 425 (1957).
22. N. G. van Kampen, Stochastic Proceses in Physics and Chemistry (North Holland, Amsterdam, 1981).
23. M.A. Martin-Delgado, R. Shahkar, and G. Sierra, Phys. Rev. Lett. 77, 3443 (1996).
24. A. MacKinnon, Z. Phys. B 59, 385 (1985).