Current correlations and quantum localization in two-dimensional disordered systems with broken time-reversal invariance

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 11, 2001, Pages

  Gornyi, I V ^a   Mirlin, A D ^a   Wolfle P ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; DENSITY; EQUILIBRIUM CONSTANT; MAGNETIC FIELD; MATHEMATICAL COMPUTING; QUANTUM MECHANICS;

EID: 0035884525     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.115403     Document Type: Article

References (25)

1. S.-C. Zhang and D.P. Arovas, Phys. Rev. Lett. 72, 1886 (1994).
2. A.G. Aronov, A.D. Mirlin, and P. Wölfle, Phys. Rev. B 49, 16 609 (1994).
3. D. Taras-Semchuk and K.B. Efetov, Phys. Rev. Lett. 85, 1060 (2000).
4. A.D. Mirlin and P. Wölfle, Phys. Rev. Lett. 86, 3688 (2001).
5. I.V. Gornyi, A.D. Mirlin, and P. Wölfle, cond-mat/0011208 (unpublished).
6. D. Taras-Semchuk and K.B. Efetov, Phys. Rev. Lett. 86, 3689 (2001).
7. D. Taras-Semchuk and K.B. Efetov, cond-mat/0010282v2 (unpublished).
8. Importance of the (Formula presented) term is easily seen already in the lowest order of the perturbation theory, (Formula presented). Calculating the usual (RP-type) diagram with a single RMF line, one finds a nonzero contribution to (Formula presented). This term is, however, canceled exactly by the contribution of diagrams with one or both ends of the RMF line attached to the current vertices.
9. H.-F. Cheung, E.K. Riedel, and Y. Gefen, Phys. Rev. Lett. 62, 587 (1989);
10. E.K. Riedel and F. von Oppen, Phys. Rev. B 47, 15 449 (1993).
11. P. Wölfle and R. Bhatt, Phys. Rev. B 30, 3542 (1984).
12. D. Vollhardt and P. Wölfle, Phys. Rev. B 22, 4666 (1980).
13. A.D. Mirlin, E. Altshuler, and P. Wölfle, Ann. Phys. (Leipzig) 5, 281 (1996).
14. M.H. Ernst and A. Weyland, Phys. Lett. 34A, 39 (1971);
15. E. H. Hauge, in Transport Phenomena, edited by G. Kirczenow and J. Marro, Lecture Notes in Physics Vol. 31 (Springer, Berlin, 1974), p. 337.
16. J. Wilke, A.D. Mirlin, D.G. Polyakov, F. Evers, and P. Wölfle, Phys. Rev. B 61, 13 774 (2000).
17. E. Brézin, S. Hikami, and J. Zinn-Justin, Nucl. Phys. B 165, 528 (1980).
18. Y.B. Kim, A. Furusaki, and D.K.K. Lee, Phys. Rev. B 52, 16 646 (1995);
19. M.R. Zirnbauer, J. Math. Phys. 38, 2007 (1997).
20. B.A. Muzykantskii and D.E. Khmelnitskii, Pis’ma Zh. Éksp. Teor. Fiz. 62, 68 (1995) [ JETP Lett. 62, 76 (1995)].
21. A.V. Andreev, O. Agam, B.D. Simons, and B.L. Altshuler, Phys. Rev. Lett. 76, 3947 (1996);
22. A.V. Andreev, B.D. Simons, O. Agam, and B.L. Altshuler, Nucl. Phys. B 482, 536 (1996).
23. See, e.g., M. C. Gutzwiller, in Chaos and Quantum Physics, (1989 Les Houches) Lectures, edited by A. Voros, and J. Zinn-Justin, M.-J. Giannoni (North-Holland, Amsterdam, 1991), pp. 221 and 239;M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990), p. 288.
24. M.V. Berry, Proc. R. Soc. London, Ser. A 400, 229 (1985);
25. N. Argaman, Y. Imry, and U. Smilansky, Phys. Rev. B 47, 4440 (1993).