Study of the localization-delocalization transition for phonons via transfer matrix method techniques

Journal of Physics: Conference Series

Volumn 286, Issue 1, 2011, Pages

  Pinski, S D ^a   Roemer, R A ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; LATTICE VIBRATIONS; LYAPUNOV METHODS;

CRITICAL EXPONENT; FORCE CONSTANTS; LOCALIZATION LENGTH; LOCALIZATION PROPERTIES; LOCALIZATION-DELOCALIZATION TRANSITIONS; LYAPUNOV EXPONENT; SIMPLE-CUBIC LATTICES; TRANSITION FREQUENCIES;

TRANSFER MATRIX METHOD;

EID: 79955921142     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/286/1/012025     Document Type: Conference Paper

References (26)

1. Anderson P W 1958 Phys. Rev. 109 1492-1505
2. Grussbach H and Schreiber M 1995 Phys. Rev. B 51 663-666
3. Milde F, Römer R A and Schreiber M 1997 Phys. Rev. B 55 9463-9469
4. Zharekeshev I K and Kramer B 1997 Phys. Rev. Lett. 79 717-720 ArXiv: cond-mat/9706255
5. Milde F, Römer R A and Schreiber M 2000 Phys. Rev. B 61 6028-6035 ArXiv: cond-mat/9909210
6. Kramer B and MacKinnon A 1993 Rep. Prog. Phys. 56 1469-1564
7. Pichard J L and Sarma G 1981 J. Phys. C: Solid State Phys. 14 L127-L132
8. Lifshitz I and Kosevich A 1954 J. Phys.: USSR 8 217-254
9. Canisius J and van Hemmen J 1985 J. Phys. C: Solid State Phys. 18 4873-4884
10. Ludlam J, Stadelmann T, Taraskin S and Elliott S 2001 J. Non-Crystalline Solids 293 676-681
11. Schirmacher W, Diezemann G and Ganter C 1998 Phys. Rev. Lett. 81 136-139
12. Shima H, Nishino S and Nakayama T 2007 J. Phys.: Conference Ser. 92 012156
13. Ludlam J, Taraskin S and Elliott S 2003 Phys. Rev. B 67 132203
14. Kantelhardt J W, Russ S and Bunde A 2001 Phys. Rev. B 63
15. Schirmacher W and Diezemann G 1999 Ann. Phys. (Leipzig) 8 727-732
16. Scopigno T, Suck J, Angelini R, Albergamo F and Ruocco G 2006 Phys. Rev. Lett. 96 135501
17. Taraskin S, Ludlam J, Natarajan G and Elliott S 2002 Phil. Magazine B 82 197-208
18. Oseledec V I 1968 Trans. Moscow Math. Soc. 19 197-231
19. Slevin K and Ohtsuki T 1999 Phys. Rev. Lett. 82 382-385 ArXiv: cond-mat/9812065
20. Thouless D J 1974 Phys. Rep. 13 93-142
21. MacKinnon A and Kramer B 1981 Phys. Rev. Lett. 47 1546-1549
22. MacKinnon A 1994 J. Phys.: Condens. Matter 6 2511-2518
23. Monthus C and Garel T 2010 Phys. Rev. B 81 224208
24. Evers F and Mirlin A D 2008 Rev. Mod. Phys. 80 1355-1417
25. Akita Y and Ohtsuki T 1998 J. Phys. Soc. Japan. 67 2954-2955
26. Kawarabayashi T, Kramer B and Ohtsuki T 1999 Ann. Phys. (Leipzig) 8 487-496 ArXiv: cond-mat/9907319