Density and current response functions in strongly disordered electron systems: Diffusion, electrical conductivity and Einstein relation

European Physical Journal B

Volumn 35, Issue 1, 2003, Pages 77-91

  Janis V ^a   Kolorenc J ^a   Spicka V ^a  

^a INSTITUTE OF PHYSICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DIFFUSION; ELECTRIC CHARGE; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC FIELDS; GREEN'S FUNCTION; HOLE MOBILITY; INVARIANCE; QUANTUM THEORY;

BLOCH WAVES; ELECTRON-HOLE CONDUCTIVITY FUNCTIONS; FICK'S LAW; GAUGE INVARIANCE;

ELECTRONS;

EID: 4644314734     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2003-00258-4     Document Type: Article

References (30)

1. R.J. Elliot, J.A. Krumhansl, P.L. Leath, Rev. Mod. Phys. 46, 465 (1974)
2. M. Plischke, B. Bergeisen, Equilibrium Statistical Physics (World Scientific, Singapore, 1994)
3. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957);
4. in Lectures in Theoretical Physics (Wiley-Interscience, New York, 1959), Vol 1, pp. 120-203;
5. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II (Springer-Verlag, Berlin, 1985)
6. B. Velický, Phys. Rev. 184, 614 (1969)
7. A. Gonis, Green functions for ordered and disordered systems, edited by E. van Groessen, E.M. de Jager (North Holland, Amsterdam, 1992), in the series Studies in Mathematical Physics
8. I. Turek, V. Drchal, J. Kudrnovský, M. Šob, P. Weinberger, Electronic structure of disordered alloys, surfaces and interfaces (Kluwer, Boston, 1997)
9. D. Vollhardt, P. Wölfle, in Electronic Phase Transitions, edited by W. Hanke, Yu. V. Kopaev (Elsevier Science Publishers B. V., Amsterdam, 1992)
10. D. Belitz, T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994)
11. P.A. Lee, R.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)
12. J. Rammer, Quantum Transport Theory, Frontiers in Physics (Perseus Books, Reading 1998), Vol. 99, and references therein
13. V. Janiš, Phys. Rev. B 64, 115115 (2001)
14. B. Kramer, A. MacKinnon, Rep. Mod. Phys. 56, 1472 (1993)
15. Ch. P. Enz, A Course on Many - Body Theory Applied to Solid - State Physics (World Scientific, Singapore, 1992)
16. G. Rickayzen, Green's Functions and Condensed Matter, (Academic Press, London, 1980)
17. G.D. Mahan, Many-particle physics (Plenum, New York, 2000), Sect. 3.8
18. αβ, the result obtained in reference [15] from gauge invariance applied to the generalized momentum p = m v + e/c A
19. D. Vollhardt, P. Wöffle, Phys. Rev. B 22, 4666 (1980)
20. S.V. Maleev, B.P. Toperverg, Zh. Eksp. Teor. Fiz. 69, 1440 (1975);
21. Sov. Phys. JETP 42, 734 (1975)
22. P.W. Anderson, Phys. Rev. 109, 1492 (1958)
23. B.L. Altshuler, A.G. Aronov, in Electron-Electron Interactions in Disordered Systems, edited by A.L. Efros, M. Pollak (North-Holland, Amsterdam, 1985)
24. A. Einstein, Investigations on the Theory of the Brownian Motion (Dover, New York, 1956)
25. Note that the electric current is defined as a flow of positive charge
26. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Addison-Wesley, N.Y., 1990)
27. V. Janiš, Phys. Rev. B 40, 11331 (1989)
28. V. Janiš, D. Vollhardt, Phys. Rev. B 46, 15712 (1992)
29. A. Georges, G. Kotliar, W. Krauth, M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
30. B.K. Nikolić, Phys. Rev. B 64, 165303 (2001)