Field theory for the global density of states distribution function of disordered conductors

Physical Review Letters

Volumn 94, Issue 15, 2005, Pages

  Yudson, V I ^a  

^a INSTITUTE OF SPECTROSCOPY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DISORDERED CONDUCTORS; DISTRIBUTION FUNCTIONS; FIELD THEORY; LONG TAIL ASYMPTOTICS;

FERMIONS; FUNCTIONS; INTEGRATION; KINETIC ENERGY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SUPERCONDUCTING MATERIALS;

ELECTRONIC DENSITY OF STATES;

EID: 18244387719     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.156601     Document Type: Article

References (31)

1. F. Wegner, Z. Phys. B 35, 207 (1979); L. Schäfer and F. Wegner, Z. Phys. B 38, 113 (1980); K. B. Efetov, A. I. Larkin, and D. E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
2. F. Wegner, Z. Phys. B 35, 207 (1979); L. Schäfer and F. Wegner, Z. Phys. B 38, 113 (1980); K. B. Efetov, A. I. Larkin, and D. E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
3. F. Wegner, Z. Phys. B 35, 207 (1979); L. Schäfer and F. Wegner, Z. Phys. B 38, 113 (1980); K. B. Efetov, A. I. Larkin, and D. E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
4. F. Wegner, Z. Phys. B 35, 207 (1979); L. Schäfer and F. Wegner, Z. Phys. B 38, 113 (1980); K. B. Efetov, A. I. Larkin, and D. E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
5. K. B. Efetov, Adv. Phys. 32, 53 (1983); Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
6. K. B. Efetov, Adv. Phys. 32, 53 (1983); Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
7. E. P. Abrahams et al., Phys. Rev. Lett. 42, 673 (1979).
8. Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (North- Holland, Amsterdam, 1991).
9. A. D. Mirlin, Phys. Rep. 326, 259 (2000).
10. V. I. Falko and K. B. Efetov, Phys. Rev. B 52, 17413 (1995); A. D. Mirlin, Phys. Rev. B 53, 1186 (1996).
11. V. I. Falko and K. B. Efetov, Phys. Rev. B 52, 17413 (1995); A. D. Mirlin, Phys. Rev. B 53, 1186 (1996).
12. B. A. Muzykantskii and D. E. Khmelnitskii, Phys. Rev. B 51, 5480 (1995).
13. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 43, 342 (1986) [JETP Lett. 43, 441 (1986)]; Zh. Eksp. Teor. Fiz. 91, 2276 (1986) [Sov. Phys. JETP 64, 1352 (1986)]; see also the review in Ref.[4], p. 449.
14. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 43, 342 (1986) [JETP Lett. 43, 441 (1986)]; Zh. Eksp. Teor. Fiz. 91, 2276 (1986) [Sov. Phys. JETP 64, 1352 (1986)]; see also the review in Ref.[4], p. 449.
15. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 43, 342 (1986) [JETP Lett. 43, 441 (1986)]; Zh. Eksp. Teor. Fiz. 91, 2276 (1986) [Sov. Phys. JETP 64, 1352 (1986)]; see also the review in Ref.[4], p. 449.
16. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 43, 342 (1986) [JETP Lett. 43, 441 (1986)]; Zh. Eksp. Teor. Fiz. 91, 2276 (1986) [Sov. Phys. JETP 64, 1352 (1986)]; see also the review in Ref.[4], p. 449.
17. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Pis'ma Zh. Eksp. Teor. Fiz. 43, 342 (1986) [JETP Lett. 43, 441 (1986)]; Zh. Eksp. Teor. Fiz. 91, 2276 (1986) [Sov. Phys. JETP 64, 1352 (1986)]; see also the review in Ref.[4], p. 449.
18. B. L. Altshuler and B. I. Shklovskii, Zh. Eksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1986)].
19. B. L. Altshuler and B. I. Shklovskii, Zh. Eksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1986)].
20. V. E. Kravtsov, I. V. Lerner, and V. I. Yudson, Zh. Eksp. Teor. Fiz. 94, 255 (1988) [Sov. Phys. JETP 67, 1441 (1988)]; Phys. Lett. A 134, 245 (1989).
21. V. E. Kravtsov, I. V. Lerner, and V. I. Yudson, Zh. Eksp. Teor. Fiz. 94, 255 (1988) [Sov. Phys. JETP 67, 1441 (1988)]; Phys. Lett. A 134, 245 (1989).
22. V. E. Kravtsov, I. V. Lerner, and V. I. Yudson, Zh. Eksp. Teor. Fiz. 94, 255 (1988) [Sov. Phys. JETP 67, 1441 (1988)]; Phys. Lett. A 134, 245 (1989).
23. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Zh. Eksp. Teor. Fiz. 94, 258 (1988) [Sov. Phys. JETP 67, 795 (1988)].
24. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Zh. Eksp. Teor. Fiz. 94, 258 (1988) [Sov. Phys. JETP 67, 795 (1988)].
25. V. E. Kravtsov, Habilitationsschrift, Heidelberg University, 1992 (unpublished), pp. 56-57.
26. A. D. Mirlin, J. Math. Phys. (N.Y.) 38, 1888 (1997).
27. A. D. Mirlin, Pis'ma Zh. Eksp. Teor. Fiz. 62, 583 (1995) [JETP Lett. 62, 603 (1995)].
28. A. D. Mirlin, Pis'ma Zh. Eksp. Teor. Fiz. 62, 583 (1995) [JETP Lett. 62, 603 (1995)].
29. This phenomenology can be supported with the use of a "ballistic" σ model; B. A. Muzykantskii and D. E. Khmelnitskii, Pis'ma Zh. Eksp. Teor. Fiz. 62, 68 (1995) [JETP Lett. 62, 76 (1995)]; cond-mat/9601045.
30. This phenomenology can be supported with the use of a "ballistic" σ model; B. A. Muzykantskii and D. E. Khmelnitskii, Pis'ma Zh. Eksp. Teor. Fiz. 62, 68 (1995) [JETP Lett. 62, 76 (1995)]; cond-mat/9601045.
31. |r-r′|=r*.