Critical level statistics of the Fibonacci model

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 24, 2005, Pages

  Naka, Michihiro ^a   Ino, Kazusumi ^a   Kohmoto, Mahito ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28244466673     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.245120     Document Type: Article

References (24)

1. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.287 57, 287 (1985).
2. For a review, see H. Hiramoto and M. Kohmoto, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979292000153 6, 281 (1992).
3. S. Aubry and G. André, Ann. Isr. Phys. Soc. AIPSDK 0309-8710 3, 133 (1980).
4. D. R. Hofstadter, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.2239 14, 2239 (1976).
5. D. J. Thouless, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.4272 28, 4272 (1983);
6. D. J. Thouless, Commun. Math. Phys. CMPHAY 0010-3616 127, 187 (1990).
7. M. Kohmoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.1198 51, 1198 (1983).
8. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1141 33, 1141 (1986);
9. M. Kohmoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.1345 37, 1345 (1988).
10. S. N. Evangelou and J.-L. Pichard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1643 84, 1643 (2000).
11. Y. Takada, K. Ino, and M. Yamanaka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066203 70, 066203 (2004).
12. B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides, and H. B. Shore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.11487 47, 11487 (1993).
13. K. Machida and M. Fujita, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.7367 34, 7367 (1986);
14. T. Geisel, R. Ketzmerick, and G. Petschel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1651 66, 1651 (1991).
15. M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.1870 50, 1870 (1983).
16. S. Ostlund, R. Pandit, D. Rand, H. J. Schellnhuber, and E. D. Siggia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.1873 50, 1873 (1983).
17. M. Kohmoto and J. R. Banavar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.563 34, 563 (1986).
18. M. Kohmoto, B. Sutherland, and C. Tang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.1020 35, 1020 (1987).
19. M. Kohmoto and Y. Oono, Phys. Lett. PYLAAG 0375-9601 10.1016/0375- 9601(84)90928-9 102A, 145 (1984).
20. Q. Niu and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.2057 57, 2057 (1986).
21. F. Piechon, M. Benakli, and A. Jagannathan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5248 74, 5248 (1995).
22. F. Piechon, J. Phys. A JPHAC5 0305-4470 31, 155 (1998).
23. A. Sütõ, J. Stat. Phys. JSTPBS 0022-4715 56, 525 (1989).
24. A. N. Kolmogorov, J. Fluid Mech. JFLSA7 0022-1120 13, 82 (1962).