Fokker-Planck description of the transfer-matrix limiting distribution in the scattering approach to quantum transport

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 24, 1996, Pages 16555-16567

  Endesfelder, Dirk ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039312521     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.16555     Document Type: Article

References (61)

1. M. Büttiker, Phys. Rev. Lett. 65, 2901 (1990).
2. C. W. J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991).
3. C. W. J. Beenakker, Phys. Rev. B 46, 12t841 (1992).
4. Y. Imry, Europhys. Lett. 1, 249 (1986).
5. K. A. Muttalib, J. L. Pichard and A. D. Stone, Phys. Rev. Lett. 59, 2475 (1987).
6. C. W. J. Beenakker, Phys. Rev. Lett. 70, 1155 (1993).
7. C. W. J. Beenakker, Phys. Rev. B 47, 15t763 (1993).
8. P. A. Mello, Phys. Rev. Lett. 60, 1089 (1988).
9. P. A. Mello, P. Pereyra and N. Kumar, Ann. Phys. (N.Y.) 181, 290 (1988).
10. A. Hüffmann, J. Phys. A 23, 5733 (1990).
11. P. A. Mello and A. D. Stone, Phys. Rev. B 44, 3559 (1991).
12. A. M. S. Macědo and J. T. Chalker, Phys. Rev. B 46, 3559 (1991).
13. S. Iida, H. A. Weidenmüller and J. A. Zuk, Phys. Rev. Lett. 64, 583 (1990).
14. S. Iida, H. A. Weidenmüller and J. A. Zuk, Ann. Phys. 200, 219 (1990).
15. A. Altland, Z. Phys. B 82, 105 (1991).
16. P. A. Lee and A. D. Stone, Phys. Rev. Lett. 55, 1622 (1985).
17. B. L. Al'tshuler, Pis'ma Zh. Éksp. Teor. Fiz. 41, 530 (1985) [JETP Lett. 41, 648 (1985)].
18. J. T. Chalker and A. M. S. Macědo, Phys. Rev. Lett. 71, 3693 (1993).
19. A. M. S. Macědo and J. T. Chalker, Phys. Rev. B 49, 4695 (1994).
20. C. W. J. Beenakker and B. Rejaei, Phys. Rev. Lett. 71, 3689 (1993).
21. C. W. J. Beenakker and B. Rejaei, Phys. Rev. B 49, 7499 (1994).
22. M. Caselle, Phys. Rev. Lett. 74, 2776 (1995).
23. M. R. Zirnbauer, Phys. Rev. Lett. 69, 1584 (1992).
24. A. D. Mirlin, A. Müller-Groeling and M. R. Zirnbauer, Ann. Phys. 236, 325 (1994).
25. K. Frahm, Phys. Rev. Lett. 74, 4706 (1995).
26. P. A. Mello and S. Tomsovic, Phys. Rev. Lett. 67, 342 (1991).
27. P. A. Mello and S. Tomsovic, Phys. Rev. B 46, 15t963 (1992).
28. J. T. Chalker and M. Bernhardt, Phys. Rev. Lett. 70, 982 (1993).
29. Y. V. Nazarov, Phys. Rev. Lett. 73, 134 (1994).
30. O. N. Dorokhov, Pis'ma Zh. Éksp. Teor. Fiz. 36, 259 (1982) [JETP Lett. 36, 318 (1982)].
31. O. N. Dorokhov, Zh. Éksp. Teor. Fiz. 85, 1040 (1983) [Sov. Phys. JETP 58, 606 (1983)].
32. R. Kree and A. Schmid, Z. Phys. B 42, 297 (1981).
33. D. Endesfelder and B. Kramer, Phys. Rev. E 48, R3225 (1993).
34. D. Endesfelder (unpublished).
35. P. A. Mello and J. L. Pichard, J. Phys. I (France) 1, 493 (1991).
36. V. I. Oseledec, Trans. Moscow Math. Soc. 19, 197 (1968).
37. V. N. Tutubalin, Theor. Prob. Appl. 13, 65 (1968).
38. A. D. Virtser, Theor. Prob. Appl. 15, 667 (1970).
39. R. Johnston and H. Kunz, J. Phys. C 16, 3895 (1983).
40. J. Cook and B. Derrida, J. Stat. Phys. 61, 961 (1990).
41. B. Derrida, K. Mecheri and J. L. Pichard, J. Phys. (Paris) 48, 733 (1987).
42. N. Zanon and B. Derrida, J. Stat. Phys. 50, 509 (1988).
43. P. Markos, J. Phys. Condens. Matter 1, 4611 (1989).
44. P. Markos, J. Stat. Phys. 70, 899 (1993).
45. P. Markos and B. Kramer, Ann. Phys. 2, 339 (1993).
46. P. Markos, J. Phys. I France 4, 551 (1994).
47. J. L. Pichard, in Quantum Coherence in Mesoscopic Systems(Ref. 1).
48. J. L. Pichard, N. Zanon, Y. Imry and A. D. Stone, J. Phys. France 51, 587 (1990).
49. J. L. Pichard and G. André, Europhys. Lett. 2, 477 (1986).
50. W. Weller, V. N. Prigodin and Y. A. Firsov, Phys. Status Solidi B 110, 143 (1982).
51. W. Apel and T. M. Rice, J. Phys. C 16, L1151 (1983).
52. V. N. Prigodin, Y. A. Firsov and W. Weller, Solid State Commun. 59, 729 (1986).
53. W. Weller and M. Kasner, Phys. Status Solidi B 148, 273 (1988).
54. M. Kasner and W. Weller, Phys. Status Solidi B 148, 635 (1988).
55. F. J. Wegner, Phys. Rev. B 19, 783 (1979).
56. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989).
57. K. Slevin, J. L. Pichard and P. A. Mello, Europhys. Lett. 16, 649 (1991).
58. M. Hammermesh, Group Theory and Its Applications to Physics (Addison Wesley, Reading, MA, 1962).
59. P. A. Mello, Phys. Rev. B 35, 1082 (1987).
60. H. Weyl, The Classical Groups (Princeton University Press, Princeton, NJ, 1946).
61. J. D. Louck, Am. J. Phys. 38, 3 (1970).