Physical nature of critical modes in fibonacci quasicrystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 14, 1999, Pages 10032-10036

  Maciá, Enrique ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001258011     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.10032     Document Type: Article

References (38)

1. E. Maciá and F. Domínguez-Adame, Phys. Rev. Lett. 76, 2957 (1996).
2. G. J. Jin and Z. D. Wang, Phys. Rev. Lett. 79, 5298 (1997);
3. Phys. Rev. Lett.E. Maciá and F. Domínguez-Adame, 79, 5301 (1997).
4. X. Huang and C. Gong, Phys. Rev. B 58, 739 (1998).
5. A. Süto, J. Stat. Phys. 56, 525 (1989);
6. J. Bellisard, B. Iochum, E. Scoppola, and D. Testard, Commun. Math. Phys. 125, 527 (1989).
7. B. Iochum and D. Testard, J. Stat. Phys. 65, 715 (1991).
8. V. Kumar and G. Ananthakrishna, Phys. Rev. Lett. 59, 1476 (1987);
9. Phys. Rev. Lett.X. C. Xie and S. Das Sarma, 60, 1585 (1988);
10. Phys. Rev. Lett.G. Ananthakrishna and V. Kumar, 60, 1586 (1988);
11. M. Severin, M. Dulea, and R. Riklund, J. Phys.: Condens. Matter 1, 8851 (1989);
12. J. Phys.: Condens. MatterV. Kumar, 2, 1349 (1990);
13. A. Chakrabarti, S. N. Karmakar, and R. K. Moitra, Phys. Rev. B 50, 13 276 (1994).
14. E. Maciá (unpublished).
15. T. Fujiwara, M. Kohmoto, and T. Tokihiro, Phys. Rev. B 40, 7413 (1989);
16. Phys. Rev. BM. Kohmoto, B. Sutherland, and C. Tang, 35, 1020 (1987);
17. S. N. Evangelou, J. Phys. C 20, L295 (1987).
18. Q. Niu and F. Nori, Phys. Rev. B 42, 10 329 (1990).
19. M. Quilichini and T. Janssen, Rev. Mod. Phys. 69, 277 (1997).
20. E. Maciá and F. Domínguez-Adame, in Proceedings of the International Conference on Aperiodic Crystals, edited by M. de Boissieu, R. Currat, and J.-L. Verger-Gaugry (World Scientific, Singapore, 1998).
21. E. Maciá, Appl. Phys. Lett. 73, 3330 (1998).
22. E. Maciá, Phys. Rev. B 57, 7661 (1998).
23. J. Lu, T. Odagaki, and J. L. Birman, Phys. Rev. B 33, 4809 (1986);
24. K. Machida and M. Fujita, J. Phys. Soc. Jpn. 55, 1799 (1986);
25. M. Kohmoto and J. R. Banavar, Phys. Rev. B 34, 563 (1986);
26. Phys. Rev. BY. Liu and R. Riklund, 35, 6034 (1987);
27. D. Würtz, T. Schneider, and A. Politi, Phys. Lett. A 129, 88 (1988);
28. J. A. Ashraff and R. B. Stinchcombe, Phys. Rev. B 37, 5723 (1988);
29. Phys. Rev. BA. Chakrabarti, S. N. Karmakar, and R. K. Moitra, 39, 973 (1989);
30. Phys. Rev. BA. Ghosh and S. N. Karmakar, 57, 2834 (1998).
31. The posible existence of certain special frequencies satisfying the transparency condition in Fibonacci lattices and related incommensurate systems was pointed out some time ago. See, for example, J. B. Sokoloff, Phys. Rep. 126, 189 (1985).
32. The structure of the CNM is not periodic. In fact, the separation between two successive peaks takes on two different values (Formula presented) and (Formula presented) sites) which alternate in a quasiperiodic fashion.
33. J.-P. Desideri, L. Macon, and D. Sornette, Phys. Rev. Lett. 63, 390 (1989).
34. K. Mizoguchi, K. Matsutani, S. Nakashima, T. Dekorsy, H. Kurz, and M. Nakayama, Phys. Rev. B 55, 9336 (1997).
35. A. Chakrabarti, S. N. Karmakar, and R. K. Moitra, Phys. Rev. Lett. 74, 1403 (1995).
36. Z. Lin and M. Goda, J. Phys. A 26, L1217 (1993);
37. A. Chakrabarti, J. Phys.: Condens. Matter 8, L99 (1996).
38. E. Maciá, F. Domínguez-Adame, and A. Sánchez, Phys. Rev. E 50, 679 (1994), and references therein.