Critical dynamics and multifractal exponents at the Anderson transition in 3d disordered systems

Annalen der Physik (Leipzig)

Volumn 508, Issue 8, 1996, Pages 633-651

  Brandes, T ^a   Huckestein, B ^b   Schweitzer, L ^c  

^a GAKUSHUIN UNIVERSITY   (Japan)

^b UNIVERSITY OF COLOGNE   (Germany)

^c PHYSIKALISCH TECHNISCHE BUNDESANSTALT   (Germany)

Author keywords

Electronic transport; Metal insulator transition; Multifractality

Indexed keywords

ELECTRON ENERGY LEVELS; ELECTRON SCATTERING; ELECTRON TRANSPORT PROPERTIES; ELECTRONS; PHONONS;

ANDERSON TRANSITION;

METAL INSULATOR BOUNDARIES;

EID: 0030421233     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.2065080803     Document Type: Article

References (40)

1. C. M. Soukoulis, E. N. Economou, Phys. Rev. Lett. 52 (1984) 565
2. W. Pook, M. Janßen, Z. Phys. B 82 (1991) 295
3. B. Huckestein, L. Schweitzer, in: High Magnetic Fields in Semiconductor Physics III, Würzbuig 1990, Vol. 101 of Springer Series in Solid-State Sciences, G. Landwehr (ed.). Springer, Berlin, 1992, p. 84
4. B. Huckestein, B. Kramer, L. Schweitzer, Surf. Sci. 263 (1992) 125
5. M. Schreiber, H. Grussbach, Phys. Rev. Lett. 67 (1991) 607
6. B. Huckestein, L. Schweitzer, Phys. Rev. Lett. 72 (1994) 713
7. L. Schweitzer, J. Phys.: Condens. Matter 7 (1995) L281
8. J. Chalker, G. Daniell, Phys. Rev. Lett. 61 (1988) 593
9. d-2+η̃, where η̃ > 0 describes deviations from the, Ornstein-Zernicke prediction
10. F. J. Wegner, Z. Phys. B 25 (1976) 327
11. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, Frontiers in Physics, 47 (Benjamin, London, 1975
12. E. Abrahams, P. W. Anderson, D. C. Liciardello, V. Ramakrishnan, Phys. Rev. Lett. 42 (1979) 673
13. For a review, see, e.g. B. Kramer, A. MacKinnon, Rep. Prog. Phys. 56 (1994) 1469
14. E. Abrahams, P. A. Lee, Phys. Rev. B 33 (1986) 683
15. J. Chalker, Physica A 167 (1990) 253
16. P. Lambrianides, H. B. Shore, Phys. Rev. B 50 (1994) 7268
17. Y. Huo, R. E. Hetzel, R. N. Bhatt, Phys. Rev. Lett. 70 (1993) 481
18. -η/d is identical to Eq. (5.15) in [10], where the exponent K' corresponds to η
19. T. Brandes, L. Schweitzer, B. Kramer, in: Quantum Dynamics of Submicron Structures, Vol. 291 of Nato ASI Series E, H. Cerdeira, B. Kramer, G. Schön (eds.), Kluwer Academic Publishers, Dordrecht, 1994, p. 115
20. M. Janssen, Int. Journ. Mod. Phys. B 8 (1994) 943
21. 2s, in [25], ep. Eq. (3.21) and (1.6) there
22. R. Ketzmerick, G. Petschel, T. Geisel, Phys. Rev. Lett. 69 (1992) 695
23. M. Kaveh, N.F. Mott, Phil. Mag. B55 (1986) 9
24. T. Brandes, L. Schweitzer, B. Kramer, Phys. Rev. Lett. 72 (1994) 3582; T. Brandes, Phys. Rev. B 52 (1995) 8391
25. T. Brandes, L. Schweitzer, B. Kramer, Phys. Rev. Lett. 72 (1994) 3582; T. Brandes, Phys. Rev. B 52 (1995) 8391
26. F. Wegner, Z. Phys. B 36 (1980) 209
27. E. Hofstetter, M. Schreiber, Europhys. Lett. 21 (1993) 933
28. A. MacKinnon, J. Phys. Condens. Matter 6 (1994) 2511
29. I. Kh. Zharekeshev, B. Kramer: Phys. Rev. 51 (1995) 17356
30. J. Bauer, T.-M. Chang, J. L. Skinner, Phys. Rev. B 42 (1990) 8121
31. A. B. Harris, J. Phys. C 7 (1974) 1671
32. G. D. Mahan, Many-Particle Physics, Plenum Press, New York, 1990
33. S. Chakravarty, A. Schmid, Phys. Rep. 140 (1986) 193
34. D. Belitz, K. Wysokinski, Phys. Rev. B 36 (1987) 9333
35. E. Abrahams, P. Anderson, P. Lee, T. Ramakrishnan, Phys. Rev. B 24 (1981) 6783
36. W. Eiler, Journal of Low Temperature Physics 56 (1984) 481
37. S. C. Y. Siak: J. Phys. C 3 (1991) 4213
38. γ to an experimentally relevant quantity like the dimensionless conductance g*
39. B. Huckestein, Europhys. Lett. 20 (1992) 451
40. U. Fastenrath, Physica A 189 (1992) 27