Energy levels and their correlations in quasicrystals

Philosophical Magazine

Volumn 87, Issue 16, 2007, Pages 2389-2415

  Jagannathan, A ^a   Piechon F ^a  

^a UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; CRYSTALLINE MATERIALS; ELECTRIC CONDUCTIVITY; ELECTRON ENERGY LEVELS; ELECTRONIC PROPERTIES; SPECTRUM ANALYSIS; WAVE FUNCTIONS;

ENERGY SPECTRUM; QUASICRYSTALLINE ALLOYS;

QUASICRYSTALS;

EID: 34249027375     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430701196990     Document Type: Article

References (68)

1. R. Penrose, The Math. Intell., 2 32 (1979).
2. D. Levine and P. J. Steinhardt, in The Physics of Quasicrystals (World Scientific, Singapore, 1987).
3. D. Schechtman, I. Blech, D. Gratias, et al., Phys. Rev. Lett. 53 1951 (1984).
4. P.W. Anderson, Phys. Rev. 109 1492 (1958).
5. C. Sire and J. Bellissard, Europhys. Lett. 11 439 (1990).
6. J.X. Zhong and R. Mosseri, J. Phys. I (France) 4 1513 (1994).
7. A. Jagannathan, Phys. Rev. Lett. 92 047202 (2004).
8. C.L. Henley, V. Elser and M. Mihalkovic, et al., Z. Kristall. 216 1 (2001).
9. M. de Boissieu, Phil. Mag. 86 1115 (2006).
10. C.L. Henley, Phil. Mag. 86 1123 (2006).
11. T. Klein, C. Berger, D. Mayou, et al., Phys. Rev. Lett. 66 2907 (1991).
12. F.S. Pierce, Q. Guo and S.J. Poon, Phys. Rev. Lett. 73 2220 (1994).
13. C.A. Swenson, T.A. Lograsso, N.E. Anderson Jnr, et al., Phys. Rev. B 70 094201 (2004).
14. J.J. Prejean, C. Berger, A. Sulpice, et al., Phys. Rev. B 65 140203 (2002).
15. G. Trambly de Lassardière and D. Mayou, Phys. Rev. B 55 2890 (1997).
16. E. Macia, Phys. Rev. B 66 174203 (2002).
17. C. Janot, Phys. Rev. B 56 11338 (1998).
18. T. Fujiwara, S. Yamamoto and G. Trambly de Lassardière, Phys. Rev. Lett. 71 4166 (1993).
19. S. Roche and T. Fujiwara, Phys. Rev. B 58 11338 (1998).
20. C. Sire, in Lectures on Quasicrystals, edited by F. Hippert and D. Gratias (Les Editions de Physique, Les Ulis, 1994).
21. M. Kohmoto and B. Sutherland, Phys. Rev. Lett. 56 2740 (1986).
22. B. Sutherland, Phys. Rev. B 34 3904 (1986).
23. T. Odagaki and D. Nguyen, Phys. Rev. B 33 8879 (1986).
24. V. Kumar and G. Athithan, Phys. Rev. B 35 906 (1987).
25. T. Tokihiro, T. Fujiwara and M. Arai, Phys. Rev. B 38 5981 (1988).
26. H. Tsunetsugu, T. Fujiwara, K. Ueda, et al., Phys. Rev. B 43 8879 (1991).
27. H. Tsunetsugu and K. Ueda, Phys. Rev. B 43 8892 (1991).
28. V.G. Benza and C. Sire, Phys. Rev. B 44 10343 (1991).
29. B. Passaro, C. Sire and V.G. Benza, Phys. Rev. B 46 13751 (1992).
30. A. Jagannathan, J. Phys. (France) 14 133 (1994).
31. F. Piéchon and A. Jagannathan, Phys. Rev. B 51 179 (1995).
32. J.X. Zhong, U. Grimm, R.A. Römer, et al., Phys. Rev. Lett. 80 3996 (1998).
33. E.S. Zijlstra and T. Janssen, Phys. Rev. B 61 3377 (2000).
34. E.S. Zijlstra, Phys. Rev. B 66 214202 (2002).
35. B. Kramer and A. MacKinnon, Rep. Prog. Phys. 56 1469 (1993).
36. T. Ohtsuki, K. Slevin and T. Kawarabayashi, Ann. der Physik, 8 655 (1999).
37. http://www.geom.umn.edu/apps/quasitiler/about.html
38. O. Bohigas, in Mathematical and Computational Methods in Nuclear Physics, edited by J.S. Dehesa, J.M.G. Gomez and A. Polls, Vol. 209 (Springer, Berlin, 1984).
39. M.L. Mehta, Random Matrices (Academic Press, Boston, 1991).
40. B.I. Shklovskii, B. Shapiro, B.R. Sears, et al., Phys. Rev. B 47 11487 (1993).
41. J.T. Chalker, V.E. Kravtsov and I.V. Lerner, JETP Lett. 64 386 (1996).
42. J.T. Chalker, I.V. Lerner and R.A. Smith, Phys. Rev. Lett. 77 554 (1996).
43. J.T. Chalker, I.V. Lerner and R.A. Smith, J. Math. Phys. 37 5061 (1996).
44. V.E. Kravtsov, I.V. Lerner B.L. Altshuler, et al., Phys.Rev.Lett. 72 888 (1994).
45. S.N. Evangelou, Phys. Rev. B 49 16805 (1994).
46. D. Braun and G. Montambaux, Phys. Rev. B 52 13903 (1995).
47. M. Batsch, L. Schweitzer, I.Kh. Zharekeshev, et al., Phys. Rev. Lett. 77 1552 (1996).
48. X. Waintal, D. Weinmann and J.L. Pichard, Europ. Phys. J. B 7 451 (1999).
49. S.N. Evangelou and J.-L. Pichard, arXiv:cond-mat/9902321 (1999).
50. E.B. Bogomolny, U. Gerland and C. Schmit, Phys. Rev. E 59 R1315 (1999).
51. N. Argaman and Y. Imry and U. Smilansky, Phys. Rev. B 47 4440 (1993).
52. Eric Akkermans and Gilles Montambaux, Physique Mésoscopique des Electrons et des Photons (EDP Sciences/CNRS Editions, Les Ulis, 2004).
53. U. Grimm and M. Schreiber, in Quasicrystals - Structure and Physical Properties, edited by H.-R. Trebin (Wiley-VCH, Weinheim, 2003).
54. S.N. Evangelou, J. Phys. A 23 L317 (1990).
55. D.J. Thouless, Phys. Rev. Lett. 39 1167 (1975).
56. C. Basu, C.M. Canali, V.E. Kravstov, Phys. Rev. B 57 14174 (1998).
57. C. Canali, C. Basu, W. Stephan, et al., Phys. Rev. B 54 1431 (1996).
58. M. Titov, D. Braun and Y.V. Fyodorov, J. Phys. A 30 L339 (1997).
59. M. Duneau, R. Mosseri and C. Oguey, J. Phys. A 22 4549 (1989).
60. J.E.S. Socolar, Phys. Rev. B 39 10519 (1989).
61. M. Duneau, Lecture Notes, Marakesh Winter School (2002).
62. M. Baake and D. Joseph, Phys. Rev. B 42 8091 (1990).
63. F. Piéchon, Etude des propriétés spectrales d'hamiltoniens quasipériodiques: statistique des spectres d'énergie et diffusion quantique. PhD thesis, Université Paris-Sud (1995).
64. A. Jagannathan, Phys. Rev. B 61 R834 (2000).
65. J. Vidal and R. Mosseri, J. Phys. A 34 3927 (2001).
66. A. Jagannathan, Phys. Rev. B 64 140201 (2001).
67. F. Triozon, J. Vidal, R. Mosseri, et al., Phys. Rev. B 65 220202 (2002).
68. J. Vidal, N. Destainville and R. Mosseri, Phys. Rev. B 68 172202 (2003).