Dynamical scaling for critical states: Validity of Chalker's ansatz for strong fractality

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 16, 2010, Pages

  Kravtsov, V E ^a   Ossipov, A ^b   Yevtushenko, O M ^c   Cuevas, E ^d  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^c UNIVERSITY OF MUNICH   (Germany)

^d UNIVERSITY OF MURCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149266149     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.161102     Document Type: Article

References (33)

1. P. W. Anderson, Phys. Rev. 109, 1492 (1958). 10.1103/PhysRev.109.1492
2. F. Evers and A. D. Mirlin, Rev. Mod. Phys. 80, 1355 (2008). 10.1103/RevModPhys.80.1355
3. E. Cuevas and V. E. Kravtsov, Phys. Rev. B 76, 235119 (2007). 10.1103/PhysRevB.76.235119
4. A. Richardella, Science 327, 665 (2010). 10.1126/science.1183640
5. S. Faez, A. Strybulevych, J. H. Page, A. Lagendijk, and B. A. van Tiggelen, Phys. Rev. Lett. 103, 155703 (2009). 10.1103/PhysRevLett.103.155703
6. F. Wegner, Z. Phys. B 36, 209 (1980). 10.1007/BF01325284
7. M. V. Feigel'man, L. B. Ioffe, V. E. Kravtsov, and E. A. Yuzbashyan, Phys. Rev. Lett. 98, 027001 (2007) 10.1103/PhysRevLett.98.027001
8. M. V. Feigel'man, L. B. Ioffe, V. E. Kravtsov, and E. Cuevas, Ann. Phys. 325, 1390 (2010). 10.1016/j.aop.2010.04.001
9. S. Kettemann, E. R. Mucciolo, and I. Varga, Phys. Rev. Lett. 103, 126401 (2009). 10.1103/PhysRevLett.103.126401
10. J. Billy, Nature (London) 453, 891 (2008) 10.1038/nature07000
11. G. Roati, Nature (London) 453, 895 (2008). 10.1038/nature07071
12. J. T. Chalker and G. J. Daniell, Phys. Rev. Lett. 61, 593 (1988). 10.1103/PhysRevLett.61.593
13. J. T. Chalker, Physica A 167, 253 (1990). 10.1016/0378-4371(90)90056-X
14. B. Huckestein and L. Schweitzer, Phys. Rev. Lett. 72, 713 (1994) 10.1103/PhysRevLett.72.713
15. T. Brandes, B. Huckestein, and L. Schweitzer, Annalen der Physik 508, 633 (1996) 10.1002/andp.2065080803
16. K. Pracz, J. Phys.: Condens. Matter 8, 7147 (1996). 10.1088/0953-8984/8/ 38/017
17. F. Wegner, in Localisation and Metal Insulator Transitions, edited by, H. Fritzsche, and, D. Adler, (Plenum, NewYork, 1985), p. 337.
18. Y. V. Fyodorov, and A. D. Mirlin, Phys. Rev. B 55, R16001 (1997). 10.1103/PhysRevB.55.R16001
19. A. D. Mirlin, Y. V. Fyodorov, F. M. Dittes, J. Quezada, and T. H. Seligman, Phys. Rev. E 54, 3221 (1996). 10.1103/PhysRevE.54.3221
20. V. E. Kravtsov and K. A. Muttalib, Phys. Rev. Lett. 79, 1913 (1997). 10.1103/PhysRevLett.79.1913
21. V. E Kravtsov, in Handbook on Random Matrix Theory (Oxford University Press, NewYork, 2010)
22. arXiv:0911.0615v1 (unpublished).
23. A. D. Mirlin and F. Evers, Phys. Rev. B 62, 7920 (2000). 10.1103/PhysRevB.62.7920
24. O. Yevtushenko and V. E. Kravtsov, J. Phys. A: Math. Gen. 36, 8265 (2003) 10.1088/0305-4470/36/30/305
25. O. Yevtushenko and V. E. Kravtsov, Phys. Rev. E 69, 026104 (2004) 10.1103/PhysRevE.69.026104
26. V. E. Kravtsov, O. Yevtushenko, and E. Cuevas, J. Phys. A: Math. Gen. 39, 2021 (2006). 10.1088/0305-4470/39/9/003
27. O. Yevtushenko and A. Ossipov, J. Phys. A: Math. Theor. 40, 4691 (2007) 10.1088/1751-8113/40/18/002
28. S. Kronmüller, O. M. Yevtushenko, and E. Cuevas, J. Phys. A: Math. Theor. 43, 075001 (2010). 10.1088/1751-8113/43/7/075001
29. L. S. Levitov, Phys. Rev. Lett. 64, 547 (1990). 10.1103/PhysRevLett.64. 547
30. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, NY, 1980).
31. L. S. Levitov and A. B. Shitov, Green's Functions (Fizmatlit, Moscow, 2003), p. 40 (in Russian).
32. F. Wegner, Nucl. Phys. B 280, 210 (1987) 10.1016/0550-3213(87)90145-3
33. I. Rushkin, A. Ossipov, and Y. V. Fyodorov (unpublished).