Electrons and phonons on the square fibonacci tiling

Ferroelectrics

Volumn 305, Issue , 2004, Pages 15-19

  Ilan, Roni ^a   Liberty, Edo ^a   Mandel, Shahar Even Dar ^a   Lifshitz, Ron ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Electronic spectrum; Phonon spectrum; Separable quasicrystals; Square Fibonacci tiling

Indexed keywords

FUNCTIONS; HAMILTONIANS; LATTICE VIBRATIONS; PHONONS; QUASICRYSTALS;

ELECTRONIC SPECTRUM; PHONON SPECTRUM; SEPARABLE QUASICRYSTALS; SQUARE FIBONACCI TILING; WAVE FUNCTIONS;

ELECTRONS;

EID: 22444444190     PISSN: 00150193     EISSN: 15635112     Source Type: Conference Proceeding    
DOI: 10.1080/00150190490462252     Document Type: Conference Paper

References (18)

1. M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983);
2. S. Ostlund, R. Pandit, D. Rand, H. S. Schellnhuber, and E. D. Siggia, Phys. Rev. Lett. 50, 1873 (1983);
3. M. Kohmoto and J. R. Banavar, Phys. Rev. B 34, 563 (1986);
4. and M. Kohmoto, B. Sutherland, and C. Tang, Phys. Rev. B 35, 1020 (1987).
5. T. Janssen, in The Mathematics of Long-Range Aperiodic Order, ed. R. V. Moody, Kluwer, Dordrecht, 269 (1997);
6. T. Fujiwara, in Physical Properties of Quasicrystals, ed. Z. M. Stadnik, Springer, Berlin, ch. 6 (1999);
7. J. Hafner and M. Krajcī, ibid. ch. 7;
8. and D. Damanik, in Directions in Mathematical Quasicrystals, ed. M. Baake and R. V. Moody, AMS, Providence, 277 (2000).
9. C. Sire, in Proc. ICQ5, ed. C. Janot and R. Mosseri, World Scientific, Singapore, 415 (1995).
10. R. Lifshitz, J. of Alloys and Compounds 342, 186 (2002);
11. and R. Lifshitz, Foundations of Physics, in press (2003).
12. K. Ueda and H. Tsunetsugu, Phys. Rev. Lett. 58, 1272 (1987);
13. W. A. Schwalm and M. K. Schwalm, Phys. Rev. B 37, 9524 (1988);
14. J. A. Ashraff, J.-M. Luck, and R. B. Stinchcombe, Phys. Rev. B 41, 4314 (1990);
15. J. X. Zhong and R. Mosseri, J. Phys: Condens. Matter 7, 8383 (1995);
16. and S. Roche and D. Mayou, Phys. Rev. Lett. 79, 2518 (1997).
17. C. Sire, Europhys. Lett. 10, 483 (1989);
18. H. Q. Yuan, U. Grimm, P. Repetowicz, and M. Schreiber, Phys. Rev. B 62, 15569 (2000).