Marginal states in mean-field glasses

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 13, 2006, Pages

  Müller, Markus ^a   Leuzzi, Luca ^b,c   Crisanti, Andrea ^c  

^a RUTGERS UNIVERSITY   (United States)

^b INFM   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750528373     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.134431     Document Type: Article

References (59)

1. G. Parisi, in Lecture Notes of the Les Houches Summer School, edited by, A. Bovier,,, F. Dunlop,,, A. Van Enter,,, F. Den Hollander,, and, J. Dalibard, (Elsevier, Amsterdam, 2006).
2. A. Crisanti, L. Leuzzi, and T. Rizzo, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00325-x 36, 129 (2003).
3. T. Aspelmeier, A. J. Bray, and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087203 92, 087203 (2004).
4. A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.120603 92, 120603 (2004).
5. G. Parisi and T. Rizzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/ 33/001 37, 7979 (2004).
6. A. Crisanti, L. Leuzzi, and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.094202 71, 094202 (2005).
7. L. Leuzzi, Prog. Theor. Phys. PTPKAV 0033-068X 157, 94 (2005).
8. A. Annibale, G. Gualdi, and A. Cavagna, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/47/001 37, 11311 (2004).
9. A. Crisanti and H. J. Sommers, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01309287 87, 341 (1992).
10. A. Crisanti and H. J. Sommers, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01312184 92, 257 (1993).
11. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.1792 35, 1792 (1975).
12. A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/11/008 12, L441 (1979).
13. A. J. Bray and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.1068 41, 1068 (1978).
14. G. Parisi and M. Potters, Europhys. Lett. EULEEJ 0295-5075 32, 13 (1995).
15. G. Parisi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/4/009 13, L115 (1980).
16. D. J. Thouless, P. W. Anderson, and R. G. Palmer, Philos. Mag. PHMAA4 0031-8086 35, 593 (1977).
17. A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/13/19/002 13, L469 (1980).
18. M. Mezárd, G. Parisi, and M. A. Virasoro, Europhys. Lett. EULEEJ 0295-5075 1, 77 (1986).
19. A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.024422 71, 024422 (2004).
20. T. Rizzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/15/005 38, 3287 (2005).
21. C. Becchi, A. Stora, and R. Rouet, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01614158 42, 127 (1975);
22. I. V. Tyutin (unpublished).
23. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1989).
24. J. Kurchan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/21/011 24, 4969 (1991).
25. G. Parisi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/3/042 13, 1101 (1980).
26. R. Monasson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75. 2847 75, 2847 (1995).
27. A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174401 68, 174401 (2003).
28. G. Parisi, in Proceedings of Les Houches 1982, edited by, Zuber, and, Stora, (North Holland, Amsterdam, 1984).
29. A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.064423 70, 064423 (2004).
30. S. F. Edwards and P. W. Anderson, J. Phys. F: Met. Phys. JPFMAT 0305-4608 10.1088/0305-4608/5/5/017 5, 965 (1975).
31. A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/13/31/006 13, L907 (1980).
32. V. Dotsenko and M. Mézard, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/10/015 30, 3363 (1997).
33. V. Dotsenko and G. Parisi, J. Phys. A JPHAC5 0305-4470 25, 3143 (1992).
34. V. Dotsenko, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2006, P06003 (2006).
35. G. Parisi and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.184431 72, 184431 (2005).
36. G. Parisi and M. Potters, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/18/016 28, 5267 (1995).
37. T. Aspelmeier, R. A. Blythe, A. J. Bray, and M. A. Moore, cond-mat/0602639 (unpublished).
38. A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/19/013 14, 2629 (1981).
39. A. Annibale, A. Cavagna, I. Giardina, G. Parisi, and E. Trevigne, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/43/018 36, 10937 (2003).
40. M. Mézard and G. Parisi, Eur. Phys. J. B EPJBFY 1434-6028 20, 217 (2001).
41. B. Duplantier, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/1/027 14, 283 (1981).
42. H. J. Sommers and W. Dupont, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/32/012 17, 5785 (1984).
43. T. Plefka, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/6/035 15, 1971 (1982).
44. T. Plefka, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00457-7 58, 892 (2002).
45. A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127203 92, 127203 (2004).
46. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond, Lecture Notes in Physics Vol. 9 (World Scientific, Teaneck, NJ, 1987).
47. M. Metha, Random Matrices (Academic, New York, 1967).
48. L. Leuzzi, M. Müller, and A. Crisanti (unpublished).
49. C. De Dominicis, M. Gabay, T. Garel, and H. Orland, J. Phys. (Paris) JOPQAG 0302-0738 41, 923 (1980).
50. F. Tanaka and S. F. Edwards, J. Phys. F: Met. Phys. JPFMAT 0305-4608 10.1088/0305-4608/10/12/017 10, 2769 (1980).
51. S. Pankov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 197204 96, 197204 (2006).
52. P. W. Anderson, Ill-condensed Matter, Les Houches 1978, Session XXXI, edited by, R. Balian,,, R. Maynard,, and, G. Toulouse, (North Holland, Amsterdam, 1979).
53. A. L. Efros and B. I. Shklovskii, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/8/4/003 8, L49 (1975).
54. M. Müller and L. B. Ioffe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.256403 93, 256403 (2004).
55. M. Müller and S. Pankov (unpublished).
56. F. Pazmandi, G. Zarand, and G. T. Zimanyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1034 83, 1034 (1999).
57. M. Müller and A. Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.117202 96, 117202 (2006);
58. (unpublished).
59. M. Mézard and G. Parisi, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1991171 1, 809 (1991).