Boundary multifractality in critical one-dimensional systems with long-range hopping

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 9, 2007, Pages

  Mildenberger, A ^a   Subramaniam, A R ^b   Narayanan, R ^c,d   Evers, F ^a,c   Gruzberg, I A ^b   Mirlin, A D ^a,c,e  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b UNIVERSITY OF CHICAGO   (United States)

^c KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^d INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^e PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34047171350     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.094204     Document Type: Article

References (63)

1. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
2. F. Wegner, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01325284 36, 209 (1980).
3. C. Castellani and L. Peliti, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/8/004 19, L429 (1986).
4. M. Janssen, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00050-1 295, 1 (1998).
5. A. D. Mirlin, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00091-5 326, 259 (2000).
6. B. Duplantier and A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.247 66, 247 (1991).
7. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Sov. Phys. JETP SPHJAR 0038-5646 64, 1352 (1986).
8. M. Schreiber and H. Grussbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.607 67, 607 (1991);
9. A. Mildenberger, F. Evers, and A. D. Mirlin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.033109 66, 033109 (2002).
10. V. I. Fal'ko and K. B. Efetov, Europhys. Lett. EULEEJ 0295-5075 32, 627 (1995);
11. V. I. Fal'ko and K. B. Efetov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.17413 52, 17413 (1995).
12. A. W. W. Ludwig, M. P. A. Fisher, R. Shankar, and G. Grinstein, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.7526 50, 7526 (1994);
13. C. Mudry, C. Chamon, and X.-G. Wen, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00128-9 466, 383 (1996);
14. H. E. Castillo, C. C. Chamon, E. Fradkin, P. M. Goldbart, and C. Mudry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.10668 56, 10668 (1997);
15. J.-S. Caux, N. Taniguchi, and A. M. Tsvelik, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00331-9 525, 671 (1998);
16. J.-S. Caux, N. Taniguchi, and A. M. Tsvelik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1276 80, 1276 (1998);
17. J.-S. Caux, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4196 81, 4196 (1998).
18. S. N. Evangelou, Physica A PHYADX 0378-4371 10.1016/0378-4371(90)90053-U 167, 199 (1990);
19. J. T. Chalker, G. J. Daniell, S. N. Evangelou, and I. H. Nahm, J. Phys.: Condens. Matter JCOMEL 0953-8984 5, 485 (1993);
20. L. Schweitzer, J. Phys. Chem. JPCHAX 0022-3654 7, L281 (1995);
21. T. Kawarabayashi and T. Ohtsuki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.6975 53, 6975 (1996);
22. K. Yakubo and M. Ono, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58. 9767 58, 9767 (1998);
23. A. Mildenberger and F. Evers, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.041303 75, 041303 (R) (2007).
24. W. Pook and M. Janssen, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01324339 82, 295 (1991);
25. B. Huckestein, B. Kramer, and L. Schweitzer, Surf. Sci. SUSCAS 0039-6028 263, 125 (1992);
26. B. Huckestein, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.67.357 67, 357 (1995);
27. R. Klesse and M. Metzler, Europhys. Lett. EULEEJ 0295-5075 32, 229 (1995);
28. R. Klesse and M. Metzler, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183199000449 10, 577 (1999);
29. M. Janssen, M. Metzler, and M. R. Zirnbauer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.15836 59, 15836 (1999);
30. F. Evers, A. Mildenberger, and A. D. Mirlin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.241303 64, 241303 (R) (2001).
31. A. D. Mirlin, F. Evers, and A. Mildenberger, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/323 36, 3255 (2003).
32. A. D. Mirlin and F. Evers, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.7920 62, 7920 (2000).
33. A. R. Subramaniam, I. A. Gruzberg, A. W. W. Ludwig, F. Evers, A. Mildenberger, and A. D. Mirlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.126802 96, 126802 (2006).
34. A. R. Subramaniam, I. A. Gruzberg, and A. W. W. Ludwig (unpublished).
35. H. Obuse, A. R. Subramaniam, A. Furusaki, I. A. Gruzberg, and A. W. W. Ludwig, cond-mat/0609161, Phys. Rev. Lett. (to be published).
36. A. D. Mirlin, Y. V. Fyodorov, F.-M. Dittes, J. Quezada, and T. H. Seligman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.3221 54, 3221 (1996).
37. L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 547 64, 547 (1990);
38. B. L. Altshuler and L. S. Levitov, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00038-0 288, 487 (1997).
39. V. E. Kravtsov and K. A. Muttalib, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1913 79, 1913 (1997);
40. V. E. Kravtsov and A. M. Tsvelik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.9888 62, 9888 (2000);
41. E. Cuevas, M. Ortuno, V. Gasparian, and A. Perez-Garrido, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.016401 88, 016401 (2001);
42. I. Varga, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.094201 66, 094201 (2002);
43. E. Cuevas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.024206 68, 024206 (2003);
44. E. Cuevas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.184206 68, 184206 (2003);
45. E. Cuevas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.024205 71, 024205 (2005);
46. O. Yevtushenko and V. E. Kravtsov, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/30/305 36, 8265 (2003);
47. O. Yevtushenko and V. E. Kravtsov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026104 69, 026104 (2004);
48. A. M. Garcia-Garcia and K. Takahashi, Nucl. Phys. B NUPBBO 0550-3213 700, 361 (2004);
49. J. A. Mendez-Bermudez and T. Kottos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.064108 72, 064108 (2005);
50. A. M. Garcia-Garcia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73. 026213 73, 026213 (2006);
51. V. E. Kravtsov, O. Yevtushenko, and E. Cuevas, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/9/003 39, 2021 (2006);
52. J. A. Mendez-Bermudez and I. Varga, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.125114 74, 125114 (2006).
53. Y. V. Fyodorov and A. D. Mirlin, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979294001640 8, 3795 (1994).
54. For a detailed exposition of the supersymmetry method the reader is referred to the following: K. B. Efetov, Supersymetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
55. M. F. Schlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) NATUAS 0028-0836 10.1038/363031a0 363, 31 (1993);
56. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
57. G. Zumofen and J. Klafter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.2805 51, 2805 (1995).
58. R. Metzler and J. Klafter, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00503-8 278, 107 (2000);
59. N. Krepysheva, L. Di Pietro, and M.-C. Néel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.021104 73, 021104 (2006).
60. A. D. Mirlin, Y. V. Fyodorov, A. Mildenberger, and F. Evers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.046803 97, 046803 (2006).
61. M. R. Zirnbauer, hep-th/9905054 (unpublished).
62. M. J. Bhaseen, I. I. Kogan, O. A. Soloviev, N. Taniguchi, and A. M. Tsvelik, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(00)00276-5 580, 688 (2000).
63. A. R. Subramaniam (unpublished).