Two interacting Hofstadter butterflies

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 15, 1997, Pages 9524-9533

  Barelli, Armelle ^a   Bellissard, Jean ^a   Jacquod, Philippe ^b  

^a CNRS   (France)

^b UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000093683     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.9524     Document Type: Article

References (31)

1. L.D. Landau, Z. Phys. 64, 629 (1930).
2. R.E. Peierls, Z. Phys. 80, 763 (1933).
3. W.J. de Haas and P.M. van Alphen, Leiden Commun. 208d, (1930).
4. P.G. Harper, Proc. Phys. Soc. London, Sect. A 68, 874 (1955).
5. P.G. Harper, Proc. Phys. Soc. London, Sect. A 68, 879 (1955).
6. D.R. Hofstadter, Phys. Rev. B 14, 2239 (1976).
7. B. Pannetier, J. Chaussy, R. Rammal and J.-C. Villegier, Phys. Rev. Lett. 53, 1845 (1984).
8. B. Pannetier, J. Chaussy and R. Rammal, Phys. Scr. T13, 245 (1986).
9. M. Kohmoto, L. Kadanoff and C. Tang, Phys. Rev. Lett. 50, 1870 (1983).
10. Y.H. Chen, F. Wilczek, E. Witten and B.I. Halperin, Int. J. Mod. Phys. B 3, 1001 (1989).
11. R. Rammal and J. Bellissard, Europhys. Lett. 13, 205 (1990).
12. J. Bellissard, in Operator Algebras and Application, edited by D.E. Evans and M. Takesaki (Cambridge University Press, Cambridge, England, 1988), Vol. 2.
13. M. Wilkinson, Proc. R. Soc. London, Ser. A 391, 305 (1984).
14. B. Helffer and J. Sjöstrand, Suppl. Bull. SMF 116, (4), 34 (1988).
15. R. Rammal and J. Bellissard, J. Phys. (Paris) 51, 1803 (1990).
16. A. Barelli and R. Fleckinger, Phys. Rev. B 46, 11t559 (1992).
17. J. Bellissard, C. Kreft and R. Seiler, J. Phys. A 24, 2329 (1991).
18. S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1979).
19. T. Geisel, R. Ketzmerick and G. Petschel, Phys. Rev. Lett. 66, 1651 (1991).
20. T. Geisel, R. Ketzmerick and G. Petschel, Phys. Rev. Lett. 67, 3635 (1991).
21. T. Geisel, R. Ketzmerick and G. Petschel, Phys. Rev. Lett. 69, 695 (1992).
22. M. Wilkinson and E.J. Austin, Phys. Rev. B 50, 1420 (1994).
23. D.L. Shepelyansky, Phys. Rev. Lett. 73, 2607 (1994).
24. Y. Imry, Europhys. Lett. 30, 405 (1995).
25. A. Barelli, J. Bellissard, Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 77, 4752 (1996).
26. D.L. Shepelyansky, Phys. Rev. B 54, 14t896 (1996).
27. J. Bellissard, R. Lima and D. Testard, Commun. Math. Phys. 88, 207 (1983).
28. Ya.G. Sinai, J. Stat. Phys. 46, 861 (1987).
29. V. Chulaevsky and Ya.G. Sinai, Commun. Math. Phys. 125, 91 (1989).
30. J. Fröhlich, T. Spencer and P. Wittwer, Commun. Math. Phys.ibid. 132, 5 (1990).
31. W. Chojnacki, Commun. Math. Phys. 143, 527 (1992).