Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 21, 2004, Pages 1-9

  Sedrakyan, Tigran ^a   Ossipov, Alexander ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIMER;

ARTICLE; CHEMICAL MODEL; ENERGY; MATHEMATICAL ANALYSIS; PHASE TRANSITION; PHOTOLUMINESCENCE; QUANTUM MECHANICS;

EID: 13744255477     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.214206     Document Type: Article

References (57)

1. P. W. Anderson, Phys. Rev. 109, 1492 (1958); N. F. Mott and W. D. Twose, Adv. Phys. 10, 107 (1961); R. E. Borland, Proc. R. Soc. London, Ser. A 274, 529 (1963).
2. P. W. Anderson, Phys. Rev. 109, 1492 (1958); N. F. Mott and W. D. Twose, Adv. Phys. 10, 107 (1961); R. E. Borland, Proc. R. Soc. London, Ser. A 274, 529 (1963).
3. P. W. Anderson, Phys. Rev. 109, 1492 (1958); N. F. Mott and W. D. Twose, Adv. Phys. 10, 107 (1961); R. E. Borland, Proc. R. Soc. London, Ser. A 274, 529 (1963).
4. K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
5. F. J. Dyson, Phys. Rev. 92, 1331 (1958); G. Theodorou and M. H. Cohen, Phys. Rev. B 13, 4597 (1976).
6. F. J. Dyson, Phys. Rev. 92, 1331 (1958); G. Theodorou and M. H. Cohen, Phys. Rev. B 13, 4597 (1976).
7. P. W. Brower, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998).
8. P. W. Brower, C. Mudry, and A. Furusaki, Nucl. Phys. B 565, 653 (2000).
9. J. Heinrichs, Phys. Rev. B 66, 155434 (2003).
10. J. C. Flores, J. Phys.: Condens. Matter 1, 8471 (1989).
11. D. H. Dunlap, H.-L. Wu, and P. Phillips, Phys. Rev. Lett. 65, 88 (1990).
12. P. Phillips and H.-L. Wu, Science 252, 1805 (1991).
13. H.-L. Wu and P. Phillips, Phys. Rev. Lett. 66, 1366 (1991).
14. H.-L. Wu, W. Goff, and P. Phillips, Phys. Rev. B 45, 1623 (1992).
15. P. K. Datta, D. Giri, and K. Kundu, Phys. Rev. B 47, 10 727 (1993); P. K. Datta, D. Giri, and K. Kundu, ibid. 48, 16 347 (1993); S. N. Evangelou and A. Z. Wang, ibid. 47, 13 126 (1993).
16. P. K. Datta, D. Giri, and K. Kundu, Phys. Rev. B 47, 10 727 (1993); P. K. Datta, D. Giri, and K. Kundu, ibid. 48, 16 347 (1993); S. N. Evangelou and A. Z. Wang, ibid. 47, 13 126 (1993).
17. P. K. Datta, D. Giri, and K. Kundu, Phys. Rev. B 47, 10 727 (1993); P. K. Datta, D. Giri, and K. Kundu, ibid. 48, 16 347 (1993); S. N. Evangelou and A. Z. Wang, ibid. 47, 13 126 (1993).
18. F. M. Izrailev and A. A. Krokhin, Phys. Rev. Lett. 82, 4062 (1999), L. Tessieri and F. M. Izrailev, Physica E (Amsterdam) 9, 405 (2001).
19. F. M. Izrailev and A. A. Krokhin, Phys. Rev. Lett. 82, 4062 (1999), L. Tessieri and F. M. Izrailev, Physica E (Amsterdam) 9, 405 (2001).
20. F. A. B. F. de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998).
21. I. Varga and J. Pipek, J. Phys.: Condens. Matter 10, 305 (1998).
22. D. Sedrakyan and A. Sedrakyan, Phys. Rev. B 60, 10 114 (1999).
23. T. Hakobyan, D. Sedrakyan, A. Sedrakyan, I. Gomez, and F. Dominguez-Adame, Phys. Rev. B 61, 11 432 (2000).
24. F. Dominguez-Adame, I. Gomez, A. Avakyan, D. Sedrakyan, and A. Sedrakyan, Phys. Status Solidi B 221, 633 (2000).
25. T. Sedrakyan, Phys. Rev. B 69, 085109 (2004).
26. L. I. Deych, D. Zaslavsky, and A. A. Lisyansky, Phys. Rev. Lett. 81, 5390 (1998).
27. L. I. Deych, M. V. Erementchouk, and A. A. Lisyansky, Phys. Rev. B 67, 024205 (2003).
28. F. M. Izrailev, T. Kottos, and G. P. Tsironis, Phys. Rev. B 52, 3274 (1995); T. Kottos, G. P. Tsironis, and F. M. Izrailev, J. Phys.: Condens. Matter 9, 1777 (1997).
29. F. M. Izrailev, T. Kottos, and G. P. Tsironis, Phys. Rev. B 52, 3274 (1995); T. Kottos, G. P. Tsironis, and F. M. Izrailev, J. Phys.: Condens. Matter 9, 1777 (1997).
30. F. M. Izrailev, T. Kottos, and G. P. Tsironis, J. Phys.: Condens. Matter 8, 2823 (1996).
31. V. Bellani, E. Diez, R. Hey, L. Toni, L. Tarricone, G. B. Parravincini, F. Dominguez-Adame, and R. Gomes-Alcala, Phys. Rev. Lett. 82, 2159 (1999).
32. U. Kuhl, F. M. Izrailev, A. A. Krokhin, and H.-J. Stoeckmann, Appl. Phys. Lett. 77, 633, (2000).
33. F. M. Izrailev and N. M. Makarov, Phys. Rev. B 67, 113402 (2003); F. M. Izrailev and N. M. Makarov, Phys. Status Solidi C 0, 3037 (2003).
34. F. M. Izrailev and N. M. Makarov, Phys. Rev. B 67, 113402 (2003); F. M. Izrailev and N. M. Makarov, Phys. Status Solidi C 0, 3037 (2003).
35. M. Zirnbauer, J. Math. Phys. 37, 4986 (1996); A. Altland and M. Zirnbauer, Phys. Rev. Lett. 76, 3420 (1996).
36. M. Zirnbauer, J. Math. Phys. 37, 4986 (1996); A. Altland and M. Zirnbauer, Phys. Rev. Lett. 76, 3420 (1996).
37. M. Caselle, Phys. Rev. Lett. 74, 2776 (1995); cond-mat/9610017 (unpublished).
38. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices (Springer-Verlag, Berlin, 1993).
39. A. MacKinnon and B. Kramer, Phys. Rev. Lett. 47, 1546 (1981).
40. V. I. Oseledec, Trans. Mosc. Math. Soc. 19, 197 (1968).
41. P. Anderson, D. Thouless, E. Abrahams, and D. Fisher, Phys. Rev. B 22, 3519 (1980); P. Anderson, ibid. 23,4828 (1981).
42. P. Anderson, D. Thouless, E. Abrahams, and D. Fisher, Phys. Rev. B 22, 3519 (1980); P. Anderson, ibid. 23,4828 (1981).
43. R. Schrader, H. Schulz-Baldes, and A. Sedrakyan, math-ph/ 0405019 (unpublished).
44. M. Kappus and F. Wegner, Z. Phys. B: Condens. Matter 45, 15 (1981).
45. Y. V. Fyodorov and H.-J. Sommers, J. Math. Phys. 38, 1918 (1997), V. A. Gopar, P. A. Mello, and M. Büttiker, Phys. Rev. Lett. 77, 3005 (1996); P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, ibid. 78, 4737 (1997);
46. Y. V. Fyodorov and H.-J. Sommers, J. Math. Phys. 38, 1918 (1997), V. A. Gopar, P. A. Mello, and M. Büttiker, Phys. Rev. Lett. 77, 3005 (1996); P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, ibid. 78, 4737 (1997);
47. Y. V. Fyodorov and H.-J. Sommers, J. Math. Phys. 38, 1918 (1997), V. A. Gopar, P. A. Mello, and M. Büttiker, Phys. Rev. Lett. 77, 3005 (1996); P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, ibid. 78, 4737 (1997);
48. H.-J. Sommers, D. V. Savin, and V. V. Sokolov, ibid. 87, 094101 (2001).
49. A. Ossipov, T. Kottos, and T. Geisel, Phys. Rev. B 61, 11 411 (2000).
50. A. M. Jayannavar, G. V. Vijayagovindan, and N. Kumar, Z. Phys. B: Condens. Matter 75, 77 (1989); C. Texier and A. Comtet, Phys. Rev. Lett. 82, 4220 (1999);
51. A. M. Jayannavar, G. V. Vijayagovindan, and N. Kumar, Z. Phys. B: Condens. Matter 75, 77 (1989); C. Texier and A. Comtet, Phys. Rev. Lett. 82, 4220 (1999);
52. S. A. Ramakrishna and N. Kumar, Phys. Rev. B 61, 3163 (2000).
53. Y. V. Fyodorov, JETP Lett. 78, 250 (2003).
54. A. Ossipov, T. Kottos, and T. Geisel, Europhys. Lett. 62, 719 (2003).
55. F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, Phys. Rev. Lett. 85, 4426 (2000); T. Kottos and M. Weiss, ibid. 89, 056401 (2002); J. A. Mendez-Bermudez and T. Kottos, cond-mat/ 0401098 (unpublished).
56. F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, Phys. Rev. Lett. 85, 4426 (2000); T. Kottos and M. Weiss, ibid. 89, 056401 (2002); J. A. Mendez-Bermudez and T. Kottos, cond-mat/ 0401098 (unpublished).
57. F. Steinbach, A. Ossipov, T. Kottos, and T. Geisel, Phys. Rev. Lett. 85, 4426 (2000); T. Kottos and M. Weiss, ibid. 89, 056401 (2002); J. A. Mendez-Bermudez and T. Kottos, cond-mat/ 0401098 (unpublished).