Landauer and thouless conductance: a band random matrix approach

Journal de Physique II

Volumn 7, Issue 5, 1997, Pages 729-736

  Casati, Giulio ^a,b,c   Guarneri, Italo ^a,b,d   Maspero, Giulio ^a  

^a UNIVERSITY OF MILAN   (Italy)

^b Istituto Nazionale per la Fisica della Materia Milan   (Italy)

^c INFN SEZIONE DI MILANO   (Italy)

^d INFN SEZIONE DI PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN SOLIDS; ELECTROMAGNETIC WAVE TRANSMISSION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; RANDOM PROCESSES;

BAND RANDOM MATRIX APPROACH; LANDAUER AND THOULESS CONDUCTANCE;

ELECTRIC RESISTANCE;

EID: 0031146001     PISSN: 11554312     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp1:1997187     Document Type: Article

References (16)

1. Thouless D. and Edwards J.T., J. Phys. C5 (1972) 807.
2. Thouless D., Phys. Rep. 13 (1974) 93.
3. Landauer R., IBM Res. Dev. 1 (1957).
4. Landauer R., Philos. Mag. 21 (1970) 873.
5. Fisher D.S. and Lee P.A., Phys. Rev. B23 (1981) 6851.
6. Akkermans E. and Montambaux G., Phys. Rev. Lett. 68 (1992) 642.
7. Fyodorov Y.V. and Mirlin A.D., Int. J. Mod. Phys. 8 (1994) 3795.
8. Büttiker M., Imry Y., Landauer R. and Pinhas S., Phys. Rev. B31 (1985) 6207.
9. Casati G., Guarneri L, Izrailev F.M., Molinari L. and Zyczkowski K., Phys. Rev. Lett. 72 (1994) 2697.
10. lida S., Weidenmüller H.A. and Zuk J.A., Ann. Phys. (NY) 200 (1990) 219.
11. Economou E.N. and Soukoulis C.M., Phys. Rev. Lett. 43 (1981) 618.
12. After the conclusion of this work, we became aware of the related work: Braun D., Hofstetter E., Montambaux G. and MacKinnon A., preprint cond-mat/9611059.
13. These results were obtained computing curvatures by means of a formula valid only for tridiagonal models,which was pointed out to us by Luca Molinari.
14. An argument to the effect that the dissipative conductance, in the deeply localized regime, should be proportional to the square of the cur is based on the fact that in the Fourier expansion of energy levels with respect to the phase only the lowest harmonics survive. This argument was shown to us by Eric Akkermans.
15. Pichard J.L., Zanon N., Imry Y. and Stone A.D., J. Phys. France 51 (1990) 587.
16. Beenakker C.W.J., Mod. Phys. Lett. B8 (1994) 469.