Statistics of transmission in one-dimensional disordered systems: Universal characteristics of states in the fluctuation tails

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 17, 2003, Pages

  Deych, I ^a   Erementchouk, V ^a   Lisyansky, A ^a   Yamilov, Alexey ^b   Cao, Hui ^b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; ELECTRIC CONDUCTIVITY; MATHEMATICAL ANALYSIS; PREDICTION; RATING SCALE; REACTION ANALYSIS; STATISTICAL ANALYSIS;

EID: 0346880246     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.174203     Document Type: Article

References (51)

1. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
2. P. W. Anderson, D. J. Thouless, E. Abrahams, and D. S. Fisher, Phys. Rev. B 22, 3519 (1980).
3. A. A. Abrikosov and I. A. Ryzhkin, Adv. Phys. 27, 147 (1978);
4. A. A. Abrikosov, Solid State Commun. 37, 997 (1981).
5. A. Cohen, Y. Roth, and B. Shapiro, Phys. Rev. B 38, 12125 (1988).
6. I. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Wiley, New York, 1988).
7. V. I. Oseledets, Trudy Moskov. Mat. Obshch. 47, 179 (1968).
8. V. I. Melnikov, Fiz. Tverd. Tela, 23, 782 (1981)
9. V. I. Melnikov, Sov. Phys. Solid State 23, 444 (1981)
10. J. B. Pendry, J. Phys. C 15, 4821 (1982);
11. A. Mielke and F. Wegner, Z. Phys. B: Condens. Matter 62, 1 (1985);
12. J. L. Pichard, J. Phys. C 19, 1519 (1986);
13. J. Heinrichs, Phys. Rev. B 33, 5261 (1986).
14. Phys. Rev. B N. Nishiguchi, S.I. Tamura, and F. Nori, 48, 2515 (1993).
15. Phys. Rev. B N. Nishiguchi, S.I. Tamura, F. Nori 48, 14426 (1993).
16. O. N. Dorokhov, Pis’ma Zh. Éksp. Teor. Fiz., 36, 259 (1982)
17. O. N. Dorokhov, JETP Lett. 36, 318 (1982)
18. P. A. Mello, P. Pereyra, and N. Kumar, Ann. Phys. (N.Y.) 81, 290 (1988).
19. P. A. Mello, J. Math. Phys. 27, 2876 (1986).
20. L. I. Deych, D. Zaslavsky, and A. A. Lisyansky, Phys. Rev. Lett. 81, 5390 (1998).
21. L. I. Deych, A. A. Lisyansky, and B. L. Altshuler, Phys. Rev. Lett. 84, 2678 (2000).
22. L. I. Deych, A. A. Lisyansky, and B. L. Altshuler, Phys. Rev. B 64, 224202 (2001).
23. L. I. Deych, M.V. Erementchouk, and A. A. Lisyansky, Phys. Rev. B 67, 024205 (2003).
24. H. Schomerus and M. Titov, Phys. Rev. E 66, 066207 (2002).
25. D. J. Thouless, J. Phys. C 5, 77 (1972).
26. L. I. Deych, A. Yamilov, and A. A. Lisyansky, Phys. Rev. B 64, 024201 (2001).
27. L. I. Deych, M.V. Erementchouk, A. A. Lisyansky, and B. L. Altshuler, Phys. Rev. Lett. 91, 096601 (2003).
28. H. Schomerus and M. Titov, Phys. Rev. B 67, 100201 (2003).
29. B. Derrida and E. Gardner, J. Phys. (France) 45, 1283 (1984).
30. I. Goldhirsch, S. H. Noskowicz, and Z. Schuss, Phys. Rev. B 49, 14504 (1994).
31. Y. V. Fyodorov and A. D. Mirlin, JETP Lett. 58, 615 (1993).
32. Y. V. Fyodorov and A. D. Mirlin, Int. J. Mod. Phys. B 8, 3795 (1994).
33. L. I. Deych, M.V. Erementchouk, and A. A. Lisyansky, Phys. Rev. Lett. 90, 126601 (2003).
34. I. M. Lifshits and V. Kirpichenkov, Zh. Eksp. Teor. Fiz. 77, 989 (1979).
35. Hopping Transport in Solids, edited by M. Pollak and B. Schklovsky (Elsevier Science Publishers B. V., New York, 1991).
36. M. E. Raikh and I. M. Ruzin, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (Elseiver Science Publishers B. V., New York, 1991).
37. H. Cao, Y. G. Zhao, S. T. Ho, E. W. Seelig, Q. H. Wang, and R. P. H. Chang, Phys. Rev. Lett. 82, 2278 (1999);
38. Phys. Rev. Lett. G. van Soest, F. J. Poelwijk, R. Sprik, and A. Lagendijk, 86, 1522 (2001);
39. Phys. Rev. Lett. A. L. Burin, M. A. Ratner, H. Cao, and R. P. H. Chang, 87, 215503 (2001);
40. Phys. Rev. Lett. C. Vanneste and P. Sebbah, 87, 183903 (2001);
41. N. M. Lawandy, R. M. Balachandran, A. S. L. Gomes, and E. Sauvain, Nature (London) 368, 436 (1994);
42. D. S. Wiersma and A. Lagendijk, Phys. Rev. E 54, 4256 (1996);
43. S. V. Frolov, Z. V. Vardeny, and K. Yoshino, Phys. Rev. B 57, 9141 (1999);
44. D. S. Wiersma, Nature (London) 406, 132 (2000);
45. X. Jiang and C. M. Soukoulis, Phys. Rev. Lett. 85, 70 (2000).
46. M. N. Shkunov, M. C. DeLong, M. E. Raikh, Z. V. Vardeny, A. A. Zakhidov, and R. P. Baughman, Synth. Met. 116, 485 (2001);
47. M. N. Shkunov, Z. V. Vardeny, M. C. DeLong, R. C. Polson, A. A. Zakhidov, and R. P. Baughman, Adv. Funct. Mater. 12, 21 (2002).
48. A. Yamilov and H. Cao, cond-mat/0209680 (unpublished).
49. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices (Springer, Berlin, 1993).
50. F. R. Gantmacher, The Theory of Matrices (Chelsea Publishing Company, New York, 1959).
51. H. Schomerus and M. Titov, cond-mat/0302148 (unpublished).