Multifractality of instantaneous normal modes at mobility edges

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 5, 2010, Pages

  Huang, B J ^a   Wu, Ten Ming ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ANDERSON MODELS; CRITICAL EXPONENT; EIGENVECTORS; INSTANTANEOUS NORMAL MODES; LOCALIZATION-DELOCALIZATION TRANSITIONS; MULTI FRACTALS; MULTI-FRACTAL ANALYSIS; MULTIFRACTALITY; NUMERICAL EVIDENCE; SCALINGS; SIMPLE FLUIDS; SINGULARITY SPECTRUM; SPATIAL CORRELATION FUNCTIONS; VIBRATIONAL AMPLITUDES;

FRACTAL DIMENSION;

PROBABILITY DENSITY FUNCTION;

EID: 78651401374     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.051133     Document Type: Article

References (43)

1. P. W. Anderson, Phys. Rev. 109, 1492 (1958). 10.1103/PhysRev.109.1492
2. F. Evers and A. D. Mirlin, Rev. Mod. Phys. 80, 1355 (2008). 10.1103/RevModPhys.80.1355
3. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature (London) 453, 891 (2008). 10.1038/nature07000
4. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature (London) 453, 895 (2008). 10.1038/nature07071
5. H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. van Tiggelen, Nat. Phys. 4, 945 (2008). 10.1038/nphys1101
6. A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, Phys. Today 62 (8), 24 (2009). 10.1063/1.3206091
7. A. Aspect and M. Inguscio, Phys. Today 62 (8), 30 (2009). 10.1063/1.3206092
8. A. Richardella, P. Roushan, S. Mack, B. Zhou, D. A. Huse, D. D. Awschalom, and A. Yazdani, Science 327, 665 (2010). 10.1126/science.1183640
9. M. Schreiber and H. Grussbach, Phys. Rev. Lett. 67, 607 (1991). 10.1103/PhysRevLett.67.607
10. A. D. Mirlin, Y. V. Fyodorov, A. Mildenberger, and F. Evers, Phys. Rev. Lett. 97, 046803 (2006). 10.1103/PhysRevLett.97.046803
11. L. J. Vasquez, A. Rodriguez, and R. A. Römer, Phys. Rev. B 78, 195106 (2008). 10.1103/PhysRevB.78.195106
12. A. Rodriguez, L. J. Vasquez, and R. A. Römer, Phys. Rev. B 78, 195107 (2008). 10.1103/PhysRevB.78.195107
13. A. Rodriguez, L. J. Vasquez, and R. A. Römer, Phys. Rev. Lett. 102, 106406 (2009). 10.1103/PhysRevLett.102.106406
14. W. Garber, F. M. Tangerman, P. B. Allen, and J. L. Feldman, Philos. Mag. Lett. 81, 433 (2001). 10.1080/09500830110041666
15. J. J. Ludlam, S. N. Taraskin, and S. R. Elliott, Phys. Rev. B 67, 132203 (2003). 10.1103/PhysRevB.67.132203
16. J. L. Feldman and N. Bernstein, Phys. Rev. B 70, 235214 (2004). 10.1103/PhysRevB.70.235214
17. J. J. Ludlam, S. N. Taraskin, S. R. Elliott, and D. A. Drabold, J. Phys.: Condens. Matter 17, L321 (2005). 10.1088/0953-8984/17/30/L01
18. S. Faez, A. Strybulevych, J. H. Page, A. Lagendijk, and B. A. van Tiggelen, Phys. Rev. Lett. 103, 155703 (2009). 10.1103/PhysRevLett.103.155703
19. B. J. Huang and T. M. Wu, Phys. Rev. E 79, 041105 (2009). 10.1103/PhysRevE.79.041105
20. R. M. Stratt, Acc. Chem. Res. 28, 201 (1995). 10.1021/ar00053a001
21. M. L. Mehta, Random Matrices (Academic Press, San Diego, 1991).
22. A. Chhabra and R. V. Jensen, Phys. Rev. Lett. 62, 1327 (1989). 10.1103/PhysRevLett.62.1327
23. T. M. Wu, W. J. Ma, and S. F. Tsay, Physica A 254, 257 (1998). 10.1016/S0378-4371(98)00029-6
24. T. M. Wu and R. F. Loring, J. Chem. Phys. 97, 8568 (1992). 10.1063/1.463375
25. M. Bollhöfer and Y. Notay, Comput. Phys. Commun. 177, 951 (2007). 10.1016/j.cpc.2007.08.004
26. O. Schenk, M. Bollhöfer, and R. A. Römer, SIAM J. Sci. Comput. (USA) 28, 963 (2006). 10.1137/050637649
27. B. J. Huang and T. M. Wu, Comput. Phys. Commun. 182, 213 (2011), doi: 10.1016/j.cpc.2010.07.015
28. T. M. Wu and W. J. Ma, J. Chem. Phys. 110, 447 (1999). 10.1063/1.478104
29. T. Nakayama and K. Yakubo, Fractal Concepts in Condensed Matter Physics (Springer-Verlag, Berlin, 2003).
30. A. D. Mirlin and F. Evers, Phys. Rev. B 62, 7920 (2000). 10.1103/PhysRevB.62.7920
31. D. A. Parshin and H. R. Schober, Phys. Rev. B 57, 10232 (1998). 10.1103/PhysRevB.57.10232
32. T. Terao, Phys. Rev. B 56, 975 (1997). 10.1103/PhysRevB.56.975
33. D. A. Parshin and H. R. Schober, Phys. Rev. Lett. 83, 4590 (1999). 10.1103/PhysRevLett.83.4590
34. E. Cuevas, M. Ortuño, V. Gasparian, and A. Pérez-Garrido, Phys. Rev. Lett. 88, 016401 (2001). 10.1103/PhysRevLett.88.016401
35. A. Mildenberger, F. Evers, and A. D. Mirlin, Phys. Rev. B 66, 033109 (2002). 10.1103/PhysRevB.66.033109
36. A. Rodriguez, L. J. Vasquez, K. Slevin, and R. A. Römer, Phys. Rev. Lett. 105, 046403 (2010). 10.1103/PhysRevLett.105.046403
37. F. Wegner, Nucl. Phys. B 316, 663 (1989). 10.1016/0550-3213(89)90063-1
38. A. D. Mirlin and Y. V. Fyodorov, J. Phys. I 4, 655 (1994). 10.1051/jp1:1994168
39. D. V. Savin, H. J. Sommers, and Y. V. Fyodorov, JETP Lett. 82, 544 (2005). 10.1134/1.2150877
40. A. Mildenberger and F. Evers, Phys. Rev. B 75, 041303 (2007). 10.1103/PhysRevB.75.041303
41. M. E. Cates and J. M. Deutsch, Phys. Rev. A 35, 4907 (1987). 10.1103/PhysRevA.35.4907
42. K. Pracz, M. Janssen, and P. Freche, J. Phys.: Condens. Matter 8, 7147 (1996). 10.1088/0953-8984/8/38/017
43. H. Obuse and K. Yakubo, J. Phys. Soc. Jpn. 73, 2164 (2004). 10.1143/JPSJ.73.2164