Effects of an impurity in the Harper model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 309, Issue 5-6, 2003, Pages 470-476

  Naumis, Gerardo G ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

HARPER EQUATIONS; HARPER MODEL; INDUCED TRANSITIONS; LOCALIZED STATE; SELF-SIMILAR; SPECTRAL STATISTICS;

FRACTAL DIMENSION;

ARTICLE; CHAOTIC DYNAMICS; CRYSTAL; ENERGY; MODEL; QUANTUM THEORY; STATISTICAL MODEL;

EID: 0037474746     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00247-0     Document Type: Article

References (27)

1. D. Shechtman, D. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53 (1984) 1951.
2. D.R. Hofstadter, Phys. Rev. B 14 (1976) 2239.
3. M. Kohmoto, L.P. Kadanoff, C. Tang, Phys. Rev. Lett. 50 (1983) 1870.
4. M. Kohmoto, B. Sutherland, Ch. Tang, Phys. Rev. B 35 (1987) 1020.
5. Z. Lin, M. Goda, H. Kubo, J. Phys. A: Math. Gen. 28 (1995) 853.
6. A. Ghosh, S.N. Karmakar, Phys. Rev. B 58 (1998) 2586.
7. D. Damanik, Ferroelectrics 250 (2000) 143.
8. G.G. Naumis, Ferroelectrics 250 (2000) 405.
9. S. Aubry, G. Andre, in: P. Steinhardt, S. Ostlund (Eds.), The Physics of Quasicrystals, World Scientific, Singapore, 1987, p. 554.
10. R. Ketzmerick, K. Kruse, D. Springsguth, T. Geisel, Phys. Rev. Lett. 84 (2000) 2929.
11. C. Janot, Quasicrystals, 2nd Edition, Oxford Univ. Press, Oxford, 1997.
12. A. Cristiani, G. Paladin, A. Vulpiani, Products of Random Matrices, in: Springer Series in Solid State Sciences, Vol. 104, Springer-Verlag, Berlin, 1993.
13. G.G. Naumis, J.L. Aragón, Phys. Lett. 244 (1998) 133.
14. J.X. Zhong, U. Grimm, R.A. Römer, M. Schreiber, Phys. Rev. Lett. 80 (1998) 3996.
15. K. Machida, M. Fujita, Phys. Rev. B 34 (1986) 7367.
16. T. Geisel, R. Ketzmerick, G. Petschel, Phys. Rev. Lett. (1991) 1651.
17. S.N. Evangelou, J.L. Pichard, Phys. Rev. Lett. B 84 (2000) 1643.
18. J.F. Gouyet, Physics and Fractal Structure, Masson, Paris, 1996.
19. T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, B.I. Shraiman, Phys. Rev. A 33 (1986) 1141.
20. Ch. Tang, M. Kohmoto, Phys. Rev. B (1986) 2041.
21. G.G. Naumis, Phys. Rev. B 59 (1999) 11315.
22. E.N. Economou, Green's Functions in Quantum Physics, 2nd Edition. in: Springer Series in Solid State Sciences, Vol. 7, Springer-Verlag, Berlin, 1983.
23. D.J. Thouless, Phys. Rev. B 28 (1983) 42722.
24. D.J. Thouless, Q. Niu, J. Phys. A: Math. Gen. 16 (1983) 1911.
25. G.G. Naumis, J.L. Aragón, Phys. Rev. B 54 (1996) 15079.
26. F. Steinbach, A. Ossipov, T. Kottos, T. Geisel, Phys. Rev. Lett. 85 (2000) 4426.
27. A. Ossipov, M. Weiss, T. Kottos, T. Geisel, Phys. Rev. B 64 (2001) 224210.