Effect of magnetic flux on the critical behavior of a system with long-range hopping

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 24, 2004, Pages

  García García, Antonio M ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ARTICLE; CALCULATION; CHAOTIC DYNAMICS; CORRELATION COEFFICIENT; DENSITY; INSULATOR ELEMENT; MAGNETIC FIELD; MATHEMATICAL MODEL; PHASE TRANSITION; QUANTUM MECHANICS; SPECTRUM; STRUCTURE ANALYSIS; TEMPERATURE DEPENDENCE;

EID: 37649028711     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.245121     Document Type: Article

References (42)

1. F. Wegner, Z. Phys. B 36, 209 (1980).
2. M. Janssen, Phys. Rep. 295, 1 (1998).
3. C. Castellani and L. Peliti, J. Phys. A 19, L429 (1986); H. Grussbach and M. Schreiber, Phys. Rev. B 48, 6650 (1993).
4. C. Castellani and L. Peliti, J. Phys. A 19, L429 (1986); H. Grussbach and M. Schreiber, Phys. Rev. B 48, 6650 (1993).
5. B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides, and H. B. Shore, Phys. Rev. B 47, 11487 (1993).
6. B. L. Altshuler, I. K. Zharekeshev, S. A. Kotochigova, and B. I. Shklovskii, JETP Lett. 67, 62 (1988).
7. V. E. Kravtsov and K. A. Muttalib, Phys. Rev. Lett. 79, 1913 (1997).
8. J. T. Chalker, I. V. Lerner, and R. A. Smith, Phys. Rev. Lett. 77, 554 (1996); J. T. Chalker, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 64, 355 (1996).
9. J. T. Chalker, I. V. Lerner, and R. A. Smith, Phys. Rev. Lett. 77, 554 (1996); J. T. Chalker, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 64, 355 (1996).
10. M. Moshe, H. Neuberger, and B. Shapiro, Phys. Rev. Lett. 73, 1497 (1994); K. A. Muttalib, Y. Chen, M. E. H. Ismail, and V. N. Nicopoulos, ibid. 71, 471 (1993).
11. M. Moshe, H. Neuberger, and B. Shapiro, Phys. Rev. Lett. 73, 1497 (1994); K. A. Muttalib, Y. Chen, M. E. H. Ismail, and V. N. Nicopoulos, ibid. 71, 471 (1993).
12. A. M. Garcia-Garcia and J. J. M. Verbaarschot, Phys. Rev. E 67, 046104 (2003).
13. V. E. Kravtsov and A. M. Tsvelik, Phys. Rev. B 62, 9888 (2000).
14. B. Sutherland, J. Math. Phys. 12, 246 (1971); F. Calogero, ibid. 10, 2191 (1969).
15. B. Sutherland, J. Math. Phys. 12, 246 (1971); F. Calogero, ibid. 10, 2191 (1969).
16. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
17. G. Yeung and Y. Oono, Europhys. Lett. 4, 1061 (1987).
18. C. C. Yu, Phys. Rev. Lett. 63, 1160 (1989).
19. L. S. Levitov, Phys. Rev. Lett. 64, 547 (1990).
20. A. D. Mirlin, Y. V. Fyodorov, F.-M. Dittes, J. Quezada, and T. H. Seligman, Phys. Rev. E 54, 3221 (1996).
21. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
22. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
23. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
24. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
25. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
26. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000); E. Cuevas, et al., ibid. 88, 016401 (2002); I. Varga and D. Braun, Phys. Rev. B 61, R11859 (2000); F. A. B. F de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); A. Rodriguez et al., ibid. 90, 027404 (2003); E. Cuevas, Phys. Rev. B 68, 184206 (2003).
27. E. Cuevas, V. Gasparian, and M. Ortuno, Phys. Rev. Lett. 87, 056601 (2001).
28. E. Hofstetter and M. Schreiber, Phys. Rev. Lett. 73, 3137 (1994); I. Varga, E. Hofstetter, and J. Pipek, ibid. 82, 4683 (1999).
29. E. Hofstetter and M. Schreiber, Phys. Rev. Lett. 73, 3137 (1994); I. Varga, E. Hofstetter, and J. Pipek, ibid. 82, 4683 (1999).
30. M. Batsch, et al., Phys. Rev. Lett. 77, 1552 (1996).
31. A. Altland, S. Iida, and K. B. Efetov, J. Phys. A 26, 3545 (1993); A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983).
32. A. Altland, S. Iida, and K. B. Efetov, J. Phys. A 26, 3545 (1993); A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983).
33. A. Pandey and P. Shukla, J. Phys. A 24, 3907 (1991).
34. Z. N. C. Ha, Phys. Rev. Lett. 73, 1574 (1994).
35. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
36. N. Kawakami and S. K. Yang, Phys. Rev. Lett. 67, 2493 (1991).
37. B. L. Altshuler and L. S. Levitov, Phys. Rep. 288, 487 (1997).
38. S. M. Nishigaki, Phys. Rev. E 59, 2853 (1999).
39. A. V. Andreev and B. L. Altshuler, Phys. Rev. Lett. 75, 902 (1995).
40. G. M. Zaslavsky, Phys. Rep, 371, 461 (2002).
41. H. C. Fogedby, Phys. Rev. E 50, 1657 (1994).
42. B. L. Altshuler, Y. Gefen and Y. Imry, Phys. Rev. Lett. 66, 88 (1991).