Periodic-orbit theory of anderson localization on graphs

Physical Review Letters

Volumn 84, Issue 7, 2000, Pages 1427-1430

  Schanz, Holger ^a   Smilansky, Uzy ^b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346688180     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.1427     Document Type: Article

References (21)

1. T. Kottos and U. Smilansky, Ann. Phys., 274, 76 (1999).
2. T. Dittrich and U. Smilansky, Nonlinearity, 4, 59 (1991).
3. M. V. Berry, Proc. R. Soc. London A, 400, 229 (1985).
4. R. A. Jalabert et al, Phys. Rev. Lett., 65, 2442 (1990).
5. N. Argaman et al, Phys. Rev. B, 47, 4440 (1993).
6. T. Dittrich, Phys. Rep., 271, 267 (1996).
7. N. Argaman et al, Phys. Rev. Lett., 71, 4326 (1993).
8. D. Cohen et al, Ann. Phys. (N.Y.), 264, 108 (1998).
9. D. Cohen, J. Phys. A, 31, 277 (1998).
10. N. F. Mott and W. D. Twose, Adv. Phys., 10, 107 (1961).
11. V. L. Berezinskij, Sov. Phys. JETP, 38, 620 (1974).
12. D. J. Thouless, Phys. Rev. Lett., 39, 1167 (1977).
13. E. Abrahams et al, Phys. Rev. Lett., 42, 673 (1979).
14. T. Kottos et al, J. Phys. B, 9, 1777 (1997).
15. H. Schanz and U. Smilansky, chao-dyn/9904007, in Proceedings of the Australian Summer School on Quantum Chaos and Mesoscopics, Canberra, 1999 (to be published).
16. F. J. Dyson, Phys. Rev., 92, 1331 (1953).
17. M. V. Berry and S. Klein, Eur. J. Phys., 18, 222 (1997).
18. R. Kronig and W. G. Penney, Proc. R. Soc. London A, 130, 499 (1931).
19. H. Schanz and U. Smilansky (to be published).
20. A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational Physics (Springer, Berlin, 1991).
21. D. Zeilberger, M. Petkovšek, and H. S. Wilf, A = B (AK Peters, Wellesley, MA, 1996).