Two-loop functional renormalization group theory of the depinning transition

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 17, 2002, Pages 1742011-17420134

  Le Doussal, Pierre ^a   Wiese, Kay Jörg ^b   Chauve, Pascal ^a  

^a CNRS   (France)

^b Université de Paris Sud ^*

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DYNAMICS; ELASTICITY; PHASE TRANSITION; SIMULATION; TECHNIQUE; TEMPERATURE; THEORETICAL MODEL;

EID: 0036871336     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (81)

1. M. Kardar, Phys. Rep. 301, 85 (1998).
2. D.S. Fisher, Phys. Rep. 301, 113 (1998).
3. G. Blatter, M.V. Feigel'man, V.B. Geshkenbein, A.I. Larkin, and V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994).
4. M. Chandran, R.T. Scalettar, and G.T. Zimanyi, cond-mat/0204039 (unpublished).
5. G. Bertotti, Hysteresis and Magnetism (Academic Press, New York, 1998).
6. T. Nattermann, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1997).
7. S. Zapperi and M. Zaiser, Mater. Sci. Eng., A 309-310, 348 (2000).
8. G. Gruner, Rev. Mod. Phys. 60, 1129 (1988).
9. A.A. Middleton and D.S. Fisher, Phys. Rev. B 47, 3530 (1993).
10. T. Giamarchi and P. Le Doussal, Phys. Rev. B 52, 1242 (1995).
11. T. Giamarchi and P. Le Doussal, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997).
12. A. Prevost, Ph.D. thesis, Orsay, 1999.
13. A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. Lett. 83, 348 (1999).
14. D. Ertas and M. Kardar, Phys. Rev. B 53, 3520 (1996).
15. J. Schmittbuhl and K.J. Maloy, Phys. Rev. Lett. 78, 3888 (1997).
16. D.S. Fisher, Phys. Rev. B 31, 1396 (1985).
17. O. Narayan and D.S. Fisher, Phys. Rev. B 46, 11 520 (1992).
18. J. Vannimenus and B. Derrida, J. Stat. Phys. 105, 1 (2001).
19. T. Nattermann, S. Stepanow, L.-H. Tang, and H. Leschhorn, J. Phys. II 2, 1483 (1992).
20. H. Leschhorn, T. Nattermann, S. Stepanow, and L.-H. Tang, Ann. Phys. (Leipzig) 6, 1 (1997).
21. O. Narayan and D.S. Fisher, Phys. Rev. B 48, 7030 (1993).
22. D.S. Fisher, Phys. Rev. Lett. 56, 1964 (1986).
23. K.B. Efetov and A.I. Larkin, Sov. Phys. JETP 45, 1236 (1977).
24. A. Aharony, Y. Imry, and S.K. Ma, Phys. Rev. Lett. 37, 1364 (1976).
25. G. Grinstein, Phys. Rev. Lett. 37, 944 (1976).
26. G. Parisi and N. Sourlas, Phys. Rev. Lett. 43, 744 (1979).
27. J.L. Cardy, Phys. Lett. 125B, 470 (1983).
28. P. Chauve, T. Giamarchi, and P. Le Doussal, Phys. Rev. B 62, 6241 (2000).
29. H. Bucheli, O.S. Wagner, V.B. Geshkenbein, A.I. Larkin, and G. Blatter, Phys. Rev. B 57, 7642 (1998).
30. O.S. Wagner, V.B. Geshkenbein, A.I. Larkin, and G. Blatter, Phys. Rev. B 59, 11 551 (1999).
31. S. Stepanow, J. Phys. 5, 11 (1995).
32. L. Balents and D.S. Fisher, Phys. Rev. B 48, 5949 (1993).
33. P. Chauve, P. Le Doussal, and K.J. Wiese, Phys. Rev. Lett. 86, 1785 (2001).
34. P. Le Doussal, K. Wiese, and P. Chauve (unpublished).
35. P. Le Doussal and K. Wiese (unpublished).
36. P. Le Doussal and K.J. Wiese, Phys. Rev. Lett. 89, 125702 (2002);cond-mat/0109204vl (unpublished).
37. L.-H. Tang, M. Kardar, and D. Dhar, Phys. Rev. Lett. 74, 920 (1995).
38. R. Albert, A.-L. Barabasi, N. Carle, and A. Dougherty, Phys. Rev. Lett. 81, 2926 (1998).
39. P. Le Doussal and K. Wiese (unpublished).
40. D. Ertas and M. Kardar, cond-mat/9401027 (unpublished).
41. M. Alava, J. Phys.: Condens. Matter 14, 2353 (2002).
42. U. Schulz, J. Villain, E. Brezin, and H. Orland, J. Stat. Phys. 51, 1 (1988).
43. T. Hwa and D.S. Fisher, Phys. Rev. B 49, 3136 (1994).
44. A.A. Middleton and D.S. Fisher, Phys. Rev. Lett. 66, 92 (1991).
45. A. Rosso and W. Krauth, cond-mat/0107527 (unpublished).
46. A. Rosso and W. Krauth, Phys. Rev. Lett. 87, 187002 (2001).
47. A. Rosso and W. Krauth, Phys. Rev. E 65, 025101 (2002).
48. J.T. Chayes, L. Chayes, D.S. Fisher, and T. Spencer, Phys. Rev. Lett. 57, 2999 (1986).
49. S.N. Coppersmith, and A.J. Millis, Phys. Rev. B 44, 7799 (1991).
50. P. Le Doussal and T. Giamarchi, Phys. Rev. B 57, 11 356 (1998).
51. H. Leschhorn, Physica A 195, 324 (1993).
52. L. Roters, A. Hucht, S. Lubeck, U. Nowak, and K.D. Usadel, Phys. Rev. E 60, 5202 (1999).
53. U. Nowak and K.D. Usadel, Europhys. Lett. 44, 634 (1998).
54. P.B. Thomas and M. Paczuski, cond-mat/9602023 (unpublished).
55. A. Tanguy, M. Gounelle, and S. Roux, Phys. Rev. E 58, 1577 (1998).
56. L.-H. Tang and H. Leschhorn, Phys. Rev. A 45, R8309 (1992).
57. S.V. Buldyrev, A.-L. Barabasi, F. Caserta, S. Havlin, H.E. Stanley, and T. Vicsek, Phys. Rev. A 45, R8313 (1992).
58. S.C. Glotzer, M.F. Gyure, F. Sciortino, A. Coniglio, and H.E. Stanley, Phys. Rev. E 49, 247 (1994).
59. A. Rosso, A. Hartmann, and W. Krauth, cond-mat/0207288 (unpublished).
60. L. Roters, S. Lübeck, and K.D. Usadel (unpublished).
61. A. Prevost, E. Rolley, and C. Guthmann, Phys. Rev. B 65, 064517 (2002).
62. M. Poujade, C. Guthmann, and E. Rolley (unpublished); J. Low Temp. Phys. 126, 379 (2002).
63. M. Poujade, C. Guthmann, and E. Rolley (unpublished); J. Low Temp. Phys. 126, 379 (2002).
64. S. Moulinet, C. Guthmann, and E. Rolley (unpublished).
65. L. Bureau, T. Baumberger, and C. Caroli, cond-mat/0101357 (unpublished).
66. E. Bouchaud, J. Phys.: Condens. Matter 9, 4319 (1997), and Refs. 54, 66.
67. A. Parisi, G. Caldarelli, and L. Piotronero, Europhys. Lett. 52, 304 (2000).
68. S. Ramanathan and D.S. Fisher, cond-mat/9712181 (unpublished); S. Ramanathan, D. Ertas, and D.S. Fisher, cond-mat/9611196 (unpublished), and references therein.
69. S. Ramanathan and D.S. Fisher, cond-mat/9712181 (unpublished); S. Ramanathan, D. Ertas, and D.S. Fisher, cond-mat/9611196 (unpublished), and references therein.
70. A. Delaplace et al., Phys. Rev. E 60, 1337 (1999); P. Daguier et al., Europhys. Lett. 31, 367 (1995).
71. A. Delaplace et al., Phys. Rev. E 60, 1337 (1999); P. Daguier et al., Europhys. Lett. 31, 367 (1995).
72. E. Bouchaud et al., cond-mat/0108261 (unpublished), and references therein.
73. D. Ertas and M. Kardar, Phys. Rev. Lett. 73, 1703 (1994).
74. S. Lemerle, J. Ferrë, C. Chappert, V. Mathet, T. Giamarchi, and P. Le Doussal, Phys. Rev. Lett. 80, 849 (1998).
75. We thank E. Brezin for a discussion on this point.
76. P. Chauve and P. Le Doussal, Phys. Rev. E 64, 051102 (2001).
77. 1(u) corresponding to a one-loop fixed point of range shorter than RF.
78. L. Tang (unpublished).
79. S. Ramanathan and D.S. Fisher, Phys. Rev. B 58, 6026 (1998).
80. T. Giamarchi and P. Le Doussal, Phys. Rev. Lett. 76, 3408 (1996).
81. Balents and P. Le Doussal, cond-mat/0205358 (unpublished).