Spectrum and diffusion for a class of tight-binding models on hypercubes

Journal of Physics A: Mathematical and General

Volumn 32, Issue 12, 1999, Pages 2361-2367

  Vidal, Julien ^a   Mosseri, Rémy ^a   Bellissard, Jean ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033605492     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/12/009     Document Type: Article

References (33)

1. Ketzmerick R, Petschel G and Geisel T 1992 Phys. Rev. Lett. 69 695
2. Guarneri I 1993 Europhys. Lett. 21 729
3. Ketzmerick R et al 1997 Phys. Rev. Lett. 79 1959
4. Zhong J X and Mosseri R 1995 J. Phys.: Condens. Mutter 7 8383
5. Sütö A 1989 J. Stat. Phys. 56 525
6. Bellissard J, Iochum B, Scoppola E and Testard D 1989 Commun. Math. Phys. 125 527
7. Bellissard J 1989 Number Theory and Physics (Les Houches Mars 89, Spring Proc. in Physics, vol 47) ed J M Luck, P Moussa and M Waldschmidt (Berlin: Springer) p 140
8. Bellissard J, Bovier A and Ghez J M 1991 Commun. Math. Phys. 135 379
9. Bovier A and Ghez J M 1995 J. Phys. A: Math. Gen. 28 2213
10. Hof A, Knill O and Simon B 1995 Commun. Math. Phys. 174 149
11. Hofstadter D R 1976 Phys. Rev. B 14 2239
12. Last Y 1994 Commun. Math. Phys. 164 421
13. Hiramoto H and Kohmoto M 1989 Phys. Rev. B 40 8225
14. Sire C 1989 Europhys. Lett. 10 483
15. Benza V G and Sire C 1991 Phys. Rev. B 44 10343
16. Passaro B, Sire C, and Benza V G 1992 Phys. Rev. B 46 13751
17. Guarneri I and Schulz-Baldes H 1998 Preprint mp_arc 98-382 Guarneri I and Schulz-Baldes H 1998 Preprint mp_arc 98-457
18. Guarneri I and Schulz-Baldes H 1998 Preprint mp_arc 98-382 Guarneri I and Schulz-Baldes H 1998 Preprint mp_arc 98-457
19. Schulz-Baldes H and Barbaroux J M 1998 Anomalous quantum transport in presence of self-similar spectra Ann. Institut Henri Poincaré submitted
20. Bellissard J, Bessis D and Moussa P 1982 Phys. Rev. Lett. 49 701
21. Barnsley M, Geronimo J and Harrington A N 1985 Commun. Math. Phys. 99 303
22. Schulz-Baldes H and Bellissard J 1998 Rev. Math. Phys. 10 1
23. Roche S and Fujiwara T 1998 Phys. Rev. B 58 11338
24. Simon B 1990 Commun. Math. Phys. 134 209
25. Khorunzhy A and Pastur L 1993 Commun. Math. Phys. 153 605 Wegner F 1979 Phys. Rev. B 19 783
26. Khorunzhy A and Pastur L 1993 Commun. Math. Phys. 153 605 Wegner F 1979 Phys. Rev. B 19 783
27. Zhong J X, Bellissard J and Mosseri R 1995 J. Phys: Condens. Matter 7 3507
28. Kahane J P and Salem R 1963 Ensembles parfaits et séries trigonométriques (Paris: Hermann) p 72
29. Salem R 1943 Set of uniqueness and sets of multiplicity Trans. Am. Math. Soc. 54 Salem R 1944 Trans. Am. Math. Soc. 56 Salem R 1948 Trans. Am. Math. Soc. 63
30. Salem R 1943 Set of uniqueness and sets of multiplicity Trans. Am. Math. Soc. 54 Salem R 1944 Trans. Am. Math. Soc. 56 Salem R 1948 Trans. Am. Math. Soc. 63
31. Salem R 1943 Set of uniqueness and sets of multiplicity Trans. Am. Math. Soc. 54 Salem R 1944 Trans. Am. Math. Soc. 56 Salem R 1948 Trans. Am. Math. Soc. 63
32. Pisot C 1938 La répartition modulo 1 et les nombres algébriques Annali di Pisa 7
33. Pisot C 1955 Sur une famille remarquable d'entiers algébriques formant un ensemble fermé Colloque sur la théorie des nombres, Bruxelles