Statistical ensembles and spectral correlations in mesoscopic systems

Chaos, Solitons and Fractals

Volumn 8, Issue 7-8, 1997, Pages 1229-1247

  Kamenev, Alex ^a   Gefen, Yuval ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000149389     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00017-9     Document Type: Article

References (33)

1. L. D. Landau and Lifschitz, E. M., Statistical Physics. Pergamon Press, Oxford (1959).
2. K. Huang, Statistical Mechanics. Wiley, New York (1963).
3. For the ergodic hypothesis to be valid one has to require that the time difference between subsequent measurements of the number of electrons exceeds the equilibrium time of the system.
4. Al'tshuler, B. L. and Shklovskii, B. I., Zh. Eksp. Teor. Fiz., 1986, 91, 220.
5. Al'tland, A. and Gefen, Y., Phys. Rev., 1995, B51, 10671.
6. Al'tshuler, B. L., Gefen, Y. and Imry, Y., Phys. Rev. Lett., 1991, 66, 88.
7. Imry, Y., In Quantum Coherence in Mesoscopic Systems, ed. B. Kramer, Vol. 254, p. 221. NATO ASI Series, 1990.
8. Schmid, A., Phys. Rev. Lett., 1991, 66, 80.
9. von Oppen, F. and Riedel, E. K., Phys. Rev. Lett., 1991, 66, 84.
10. Akkermans, E., Europhys. Lett., 1991, 15, 709.
11. Most of our discussion ignores spin degeneracy. Final results will include trivial spin degeneracy factors.
12. Note that there may be other sources that lead to broadening, e.g. coupling to a heat bath reservoir, without allowing for particle exchange.
13. Kamenev, A. and Gefen, Y., Phys. Rev. Lett., 1993, 70, 1976.
14. Kamenev, A., and Gefen, Y., In Quantum Dynamics of Submicron Structures, eds H. A. Cerdeira et al., p. 81. Kluwer Academic, The Netherlands, 1995.
15. Cheung, H. F., Gefen, Y., Riedel, E. K. and Shih, W. H., Phys. Rev. B37, 9581, 1988; H. Bouchiat and G. Montambaux, J. Phys. (Paris), 50, 2695, 1989.
16. Cheung, H. F., Gefen, Y., Riedel, E. K. and Shih, W. H., Phys. Rev. B37, 9581, 1988; H. Bouchiat and G. Montambaux, J. Phys. (Paris), 50, 2695, 1989.
17. S. Oh. Yu Zyuzin and R. A. Serota, Phys. Rev. B44, 8858, 1991; R. A. Serota and A. Yu. Zyuzin, Phys. Rev. B47, 6399, 1993; B. L. Altshuler, Y. Gefen, Y. Imry and G. Montambaux, Phys. Rev. B47, 10335, 1993.
18. S. Oh. Yu Zyuzin and R. A. Serota, Phys. Rev. B44, 8858, 1991; R. A. Serota and A. Yu. Zyuzin, Phys. Rev. B47, 6399, 1993; B. L. Altshuler, Y. Gefen, Y. Imry and G. Montambaux, Phys. Rev. B47, 10335, 1993.
19. S. Oh. Yu Zyuzin and R. A. Serota, Phys. Rev. B44, 8858, 1991; R. A. Serota and A. Yu. Zyuzin, Phys. Rev. B47, 6399, 1993; B. L. Altshuler, Y. Gefen, Y. Imry and G. Montambaux, Phys. Rev. B47, 10335, 1993.
20. Efetov, K. B., Phys. Rev. Lett., 1991, 66, 2794.
21. Lehle, W. and Schmid, A., Ann. der Phys., 1995, 4, 451.
22. Mathur, H., Gökçedacǧ, M. and Stone, A. D., Phys. Rev. Lett, 1995, 74, 1855.
23. Denton, R., Muhlschlegel, B. and Scalapino, D. J., Phys. Rev., 1973, B7, 3589.
24. Cheung, H. P. and Cheung, H. F., J. Phys. Cond. Mat., 1995, 7, 6707.
25. Nemeth, R., J. Stat. Phys., 1991, 63, 419.
26. Rosenfeld, R., Physics, 1961, 27, 67.
27. Toda, M., Kubo, R. and Saitô, N., Statistical Physics. Springer, Berlin, 1983.
28. Hajdu, J. private communication.
29. Kamenev, A., and Gefen, Y., unpublished.
30. 0 contributes.
31. Negele, J. W. and Orland, H., Quantum Many-Particle Systems. Addison-Wesley, Reading, MA, 1988.
32. Abrikosov, A. A., Gorkov, L. P. and Dzyaloshinski, I. E., Methods of Quantum Field Theory in Statistical Physics. Prentice-Hall, Englewood Cliffs, NJ, 1963.
33. -(6+d/2)(4 - d)(2 -d)Γ(4 -d)/2)ζ(3-d/2).