Generalized inverse participation numbers in metallic-mean quasiperiodic systems

European Physical Journal B

Volumn 83, Issue 4, 2011, Pages 415-421

  Thiem, S ^a   Schreiber, M ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENSTATES; ELECTRONIC CHARACTERISTICS; GENERALIZED INVERSE; HIGHER-DIMENSIONAL; LARGE SYSTEM SIZE; NUMERICAL CALCULATION; NUMERICAL RESULTS; ONE-DIMENSIONAL SOLUTIONS; PRODUCT STRUCTURE; QUANTUM MECHANICAL; QUASI-PERIODIC; QUASIPERIODIC SYSTEMS; SCALING BEHAVIOR; SCALING EXPONENT; SYSTEM SIZE; TIGHT BINDING MODEL;

QUANTUM THEORY;

COMPUTER SIMULATION;

EID: 80755146082     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2011-20323-7     Document Type: Article

References (26)

1. D. Shechtman I. Blech D. Gratias J.W. Cahn 1984 Phys. Rev. Lett. 53 1951 1984PhRvL..53.1951S 10.1103/PhysRevLett.53.1951
2. T. Ishimasa H.-U. Nissen Y. Fukano 1985 Phys. Rev. Lett. 55 511 1985PhRvL..55..511I 10.1103/PhysRevLett.55.511
3. N. Wang H. Chen K.H. Kuo 1987 Phys. Rev. Lett. 59 1010 1987PhRvL..59.1010W 10.1103/PhysRevLett.59.1010
4. J.-M. Dubois, Useful Quasicrystals (World Scientific, Singapore London, 2005)
5. Z.M. Stadnik, Physical Properties of Quasicrystals (Springer, Berlin Heidelberg New York, 1999)
6. D. Damanik, Gordon-type Arguments in the Spectral Theory of one-dimensional Quasicrystals, in Directions in Mathematical Quasicrystals, CRM Monograph Series (American Mathematical Society, Providence, 2003), edited by M. Baake, R.V. Moody, Vol. 13, pp. 277-304
7. U. Grimm, M. Schreiber, Energy Spectra and Eigenstates of Quasiperiodic Tight-binding Hamiltonians, in Quasicrystals: Structure and Physical Properties, edited by H.-R. Trebin (Wiley-VCH, Berlin, 2003), pp. 210-235
8. B. Passaro C. Sire V.G. Benza 1992 Phys. Rev. B 46 13751 1992PhRvB..4613751P 10.1103/PhysRevB.46.13751
9. T. Rieth, U. Grimm, M. Schreiber, Localization of Electronic Wave Functions on Quasiperiodic Lattices, in Proceedings of the 6th International Conference on Quasicrystals, Tokyo, May 1997, edited by S. Takeuchi, T. Fujiwara (World Scientific, Singapore London, 1998), pp. 639-642
10. R. Ilan E. Liberty S. Even-Dar Mandel R. Lifshitz 2004 Ferroelectrics 305 15 10.1080/00150190490462252 (Pubitemid 44103678)
11. R. Lifshitz 2002 J. Alloys Compd. 342 186 10.1016/S0925-8388(02)00169-X (Pubitemid 34862694)
12. C. Sire R. Mosseri 1989 J. Phys. France 50 3447 1033925 10.1051/jphys:0198900500240344700
13. C. Sire R. Mosseri J.-F. Sadoc 1989 J. Phys. France 50 3463 1033925 10.1051/jphys:0198900500240346300
14. V.W. de Spinadel 1999 Nonlinear Anal. 36 721 1680309 0931.28007 10.1016/S0362-546X(98)00123-0
15. H.Q. Yuan U. Grimm P. Repetowicz M. Schreiber 2000 Phys. Rev. B 62 15569 2000PhRvB..6215569Y 10.1103/PhysRevB.62.15569 (Pubitemid 32373471)
16. S. Thiem M. Schreiber 2010 J. Phys. Conf. Ser. 226 012029 2010JPhCS.226a2029T 10.1088/1742-6596/226/1/012029
17. M. Kohmoto B. Sutherland C. Tang 1987 Phys. Rev. B 35 1020 873230 1987PhRvB..35.1020K 10.1103/PhysRevB.35.1020
18. A. Süto 1989 J. Stat. Phys. 56 525 1989JSP....56..525S 10.1007/BF01044450
19. J. Bellissard B. Iochum E. Scoppola D. Testard 1989 Commun. Math. Phys. 125 527 1022526 1989CMaPh.125..527B 0825.58010 10.1007/BF01218415
20. C. Sire 1989 Europhys. Lett. 10 483 1989EL.....10..483S 10.1209/0295-5075/10/5/016
21. G. Gumbs M.K. Ali 1989 J. Phys. A 22 951 994565 1989JPhA...22..951G 10.1088/0305-4470/22/8/012
22. P. Repetowicz U. Grimm M. Schreiber 1998 Phys. Rev. B 58 13482 1998PhRvB..5813482R 10.1103/PhysRevB.58.13482
23. S. Thiem, Electronic States in Quasicrystal Models, Master Thesis, Chemnitz University of Technology, 2008
24. A. Jagannathan F. Piechon 2007 Philosophical Magazine 87 2389 2007PMag...87.2389J 10.1080/14786430701196990 (Pubitemid 46789014)
25. F. Triozon J. Vidal R. Mosseri D. Mayou 2002 Phys. Rev. B 65 2202021 10.1103/PhysRevB.65.220202
26. V.Z. Cerovski M. Schreiber U. Grimm 2005 Phys. Rev. B 72 54203 2005PhRvB..72e4203C 10.1103/PhysRevB.72.054203 (Pubitemid 43406394)