Random hopping fermions on bipartite lattices: Density of states, inverse participation ratios, and their correlations in a strong disorder regime

Nuclear Physics B

Volumn 679, Issue 3, 2004, Pages 632-646

  Yamada, Hiroki ^a   Fukui, Takahiro ^a  

^a IBARAKI UNIVERSITY   (Japan)

Author keywords

Anderson localization; Chiral orthogonal class; KPP equation; Random hopping; Renormalization group

Indexed keywords

EID: 0347301620     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.12.008     Document Type: Article

References (46)

1. Anderson P.W. Phys. Rev. 102 1958 1008
2. Abrahams E. Anderson P.W. Licciardello D.C. Ramarkrishnan T.V. Phys. Rev. Lett. 42 1979 673
3. Hasley T.C. Jensen M.H. Kadanoff L.P. Procaccia I. Shraiman B. Phys. Rev. A 33 1986 1141
4. Ludwig A.W.W. Fisher M.P.A. Shankar R. Grinstein G. Phys. Rev. B 50 1994 7526
5. C. Mudry, C. Chamon, X.-G. Wen, Nucl. Phys. B 466 (1996) 383
6. de C. Chamon C. Mudry C. Wen X.-G. Phys. Rev. B 53 1996 7638
7. Bernard D. Nucl. Phys. B 441 1995 471 hep-th/9509137
8. R. Gade, Nucl. Phys. B 398 (1993) 499
9. Gade R. Wegner F. Nucl. Phys. B 360 1991 213
10. Zirnbauer M.R. J. Math. Phys. 37 1996 4986
11. Altland A. Zirnbauer M.R. Phys. Rev. B 55 1997 1142
12. Senthil T. Fisher M.P.A. Balents L. Nayak C. Phys. Rev. Lett. 81 1998 4704
13. Bundschuh R. Cassanello C. Serban D. Zirnbauer M.R. Nucl. Phys. B 532 1998 689
14. Altland A. Simons B.D. Zirnbauer M.R. Phys. Rep. 359 2002 283
15. Furusaki A. Phys. Rev. Lett. 82 1999 604 and references therein
16. Y. Hatsugai, X.-G. Wen, M. Kohmoto, Phys. Rev. B 56 (1997) 1061
17. Y. Morita, Y. Hatsugai, Phys. Rev. Lett. 79 (1997) 3728
18. Morita Y. Hatsugai Y. Phys. Rev. B 58 1998 6680
19. Fukui T. Nucl. Phys. B 562 1999 477
20. Altland A. Simons B.D. Nucl. Phys. B 562 1999 445
21. Guruswamy S. LeClair A. Ludwig A.W.W. Nucl. Phys. B 583 2000 475
22. Fabrizio M. Castellani C. Nucl. Phys. B 583 2000 542
23. Motrunich O. Damle K. Huse D.A. Phys. Rev. B 65 2002 064206
24. Carpentier D. Le Doussal P. Nucl. Phys. B 558 2000 565
25. Carpentier D. Le Doussal P. Phys. Rev. E 63 2001 026110
26. Cardy J.L. Ostlund S. Phys. Rev. B 25 1982 6899
27. Rubinstein M. Shraiman B. Nelson D.R. Phys. Rev. B 27 1983 1800
28. A. Chakrabati, C. Dasgupta, Phys. Rev. B 37 (1988) 7557
29. Forrester M.G. Benz S.P. Lobb C.J. Phys. Rev. B 41 1990 8749
30. Ozeki Y. Nishimori H. J. Phys. A 26 1993 3399
31. T. Nattermann, S. Scheidl, S.E. Korshunov, M.S. Li, J. Phys. (Paris) I 5 (1995) 565
32. M.-C. Cha, H.A. Fertig, Phys. Rev. Lett. 74 (1995) 4867
33. Tang L.-H. Phys. Rev. B 54 1996 3350
34. Scheidl S. Phys. Rev. B 55 1997 457
35. Kolmogorov A. Pitrovsky I. Piscounov N. Moscow Univ. Bull. Math. 1 1937 1
36. M. Bramson, in: Memoirs of the American Mathematical Society, No. 285 (1983)
37. Ebert U. Saarloos W.V. Physica D 146 2000 1
38. Horovitz B. Le Doussal P. Phys. Rev. B 65 2002 125323
39. Fukui T. Phys. Rev. B 68 2003 153307 cond-mat/0209461
40. Mudry C. Ryu S. Furusaki A. Phys. Rev. B 67 2003 064202 cond-mat/0207723
41. Ryu S. Hatsugai Y. Phys. Rev. B 63 2001 233307
42. Semenoff G. Phys. Rev. Lett. 53 1984 2449
43. Wegner F. Z. Phys. B 36 1980 209
44. Höf D. Wegner F. Nucl. Phys. B 275 1986 561
45. Zamolodchikov A.B. Sov. J. Nucl. Phys. 46 1987 1090
46. Doty C.A. Fisher D.S. Phys. Rev. B 45 1992 2167