The phase diagram of the multi-dimensional Anderson localization via analytic determination of Lyapunov exponents

European Physical Journal B

Volumn 42, Issue 4, 2004, Pages 529-542

  Kuzovkov, V N ^a   Von Niessen, W ^b  

^a UNIVERSITY OF LATVIA   (Latvia)

^b TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FUNCTIONS; GRAPH THEORY; LYAPUNOV METHODS; PHASE DIAGRAMS; PHASE TRANSITIONS;

ANDERSON LOCALIZATION; LYAPUNOV EXPONENTS (LE); METAL-INSULATOR TRANSITION; WAVE FUNCTIONS;

QUANTUM THEORY;

EID: 12344276323     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00011-1     Document Type: Article

References (31)

1. P.W. Andersen, Phys. Rev. 109, 1492 (1958)
2. E. Abrahams, P.W. Anderson, D.C. Licciardello, T.V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)
3. L.Molinari. J. Phys. A: Math. Gen. 25, 513 (1992)
4. E. Abrahams, S.V. Kravchenko, M.P. Sarachik, Rev. Mod. Phys. 73, 251 (2001)
5. S.V. Kravchenko, D. Simonian, M.P. Sarachik, W. Mason, J.E. Furneaux, Phys. Rev. Lett. 77, 4938 (1996)
6. S. Ilani, A. Yacoby, D. Mahalu, H. Shtrikman, Science 292, 1354 (2001)
7. S. Ilani, A. Yacoby, D. Mahalu, H. Shtrikman, Phys. Rev. Lett. 84, 3133 (2000)
8. V.N. Kuzovkov, W. von Niessen, V. Kashcheyevs, O. Hein, J. Phys.: Condens. Matter 14, 13777 (2002)
9. N.F. Mott, in Electronics and Structural Properties of Amorphous Semiconductors, edited by P.G. Le Comber, J. Mort (Academic, London, 1973), p. 1
10. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)
11. P. Markoš, L. Schweitzer, M. Weyrauch, J. Phys.: Condens. Matter. 16, 1679 (2004)
12. V.N. Kuzovkov, V. Kashcheyevs, W. von Niessen, J. Phys.: Condens. Matter 16, 1683 (2004)
13. L. Landau, Phys. Zs. Sowjet 11, 26 (1937)
14. H. Bethe, Proc. Roy. Soc. 150, 552 (1935)
15. L. Onsager, Phys. Rev. 65, 17 (1944)
16. V.L. Ginzburg, L.D. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950)
17. J.B. Pendry, J. Phys. C: Solid State Phys. 15, 3493 (1982)
18. T.F. Weiss, Signals and systems, Lecture notes, http://um~ech.mit.edu/ weiss/lectures.html
19. J.B. Pendry, E. Castano, J. Phys. C: Solid State Phys. 21, 4333 (1988)
20. B. Kramer, A. MacKinnon, Rep. Prog. Phys. 58, 1469 (1993)
21. H. Grussbach, M. Schreiber, Phys. Rev. B, 51, 663 (1995)
22. T.M. Rice, Nature 389, 916 (1997)
23. H. Kunz, B. Souillard, J. Phys. Lett. France 44, 503 (1983)
24. I. Travěnec, P. Markoš, Phys. Rev. B 65, 113109 (2002)
25. S.L.A. de Queiroz, Phys. Rev. B 66, 195113 (2002)
26. H.E. Stanley, Introduction to Phase Transition and Critical Phenomena (Oxford Univ. Press, New York, 1971)
27. S. Ma, Modern Theory of Critical Phenomena (Benjamin, London, 1976)
28. V. Kuzovkov, E. Kotomin, Rep. Prog. Phys. 51, 1479 (1988)
29. E.A. Kotomin, V.N. Kuzovkov, Modern Aspects of Diffusion-Controlled Reactions: Cooperative Phenomena in Bimolecular Processes, Vol. 34 of Comprehensive Chemical Kinetics (Elsevier, North Holland, Amsterdam, 1996)
30. D. Stauffer, A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992)
31. F.A.B.F. de Moura, M.L. Lyra, Phys. Rev. Lett. 81, 3735 (1998)