Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 21, 2007, Pages

  Katzgraber, Helmut G ^a   Wurtz D ^a   Blatter, G ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347360714     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.214511     Document Type: Article

References (40)

1. G. Blatter, M. V. Feigelman, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.1125 66, 1125 (1994).
2. E. H. Brandt, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/58/11/ 003 58, 1465 (1995).
3. T. Nattermann and S. Scheidl, Adv. Phys. ADPHAH 0001-8732 10.1080/000187300412257 49, 607 (2000).
4. G. Blatter and V. B. Geshkeinbein, in Conventional and High- Tc Superconductors, edited by, K. H. Bennemann, and, J. B. Ketterson,, The Physics of Superconductors Vol. 1 (Springer, Berlin, 2003), p. 726.
5. C. Wengel and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R6869 54, R6869 (1996).
6. B. I. Spivak and S. A. Kivelson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.3740 43, 3740 (1991).
7. H. Kawamura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.69.29 69, 29 (2000).
8. T. Giamarchi and P. Le Doussal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1530 72, 1530 (1994).
9. P. G. de Gennes, Superconductivity of Metals and Alloys (Addison-Wesley, Redwood City, 1989).
10. T. Olson and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12467 61, 12467 (2000).
11. D. S. Fisher, M. P. A. Fisher, and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.130 43, 130 (1991).
12. S. E. Korshunov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.174514 63, 174514 (2001).
13. W. M. Saslow, M. Gabay, and W.-M. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3627 68, 3627 (1992).
14. P. Olsson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.4526 52, 4526 (1995).
15. E. J. Gumbel, Statistics of Extremes (Columbia University Press, New York, 1958).
16. E. J. Gumbel, Bull. Inst. Internat. de Statistique 37, 471 (1960).
17. Rmetrics Core Team, URL http://www.rmetrics.org
18. M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 62.1415 62, 1415 (1989).
19. K. Binder and A. P. Young, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.801 58, 801 (1986).
20. R. H. Koch, V. Foglietti, W. J. Gallagher, G. Koren, A. Gupta, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.1511 63, 1511 (1989).
21. P. L. Gammel, L. F. Schneemeyer, and D. J. Bishop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.953 66, 953 (1991).
22. H. K. Olsson, R. H. Koch, W. Eidelloth, and R. P. Robertazzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2661 66, 2661 (1991).
23. U. Divakar, A. J. Drew, S. L. Lee, R. Gilardi, J. Mesot, F. Y. Ogrin, D. Charalambous, E. M. Forgan, G. I. Menon, N. Momono, M. Oda, C. D. Dewhurst, and C. Baines, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.237004 92, 237004 (2004).
24. H. G. Katzgraber and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.104426 64, 104426 (2001).
25. J. D. Reger, T. A. Tokuyasu, A. P. Young, and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.7147 44, 7147 (1991).
26. P. Dayal, S. Trebst, S. Wessel, D. Würtz, M. Troyer, S. Sabhapandit, and S. N. Coppersmith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.097201 92, 097201 (2004).
27. S. Alder, S. Trebst, A. K. Hartmann, and M. Troyer, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P07008.
28. E. Bertin and M. Clusel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 39/24/001 39, 7607 (2006).
29. K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.65.1604 65, 1604 (1996).
30. E. Marinari, in Advances in Computer Simulation, edited by, J. Kertész, and, I. Kondor, (Springer-Verlag, Berlin, 1998), p. 50;
31. arXiv:cond-mat/9612010 (unpublished).
32. H. G. Katzgraber and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.224507 66, 224507 (2002).
33. M. Cieplak, J. R. Banavar, M. S. Li, and A. Khurana, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.786 45, 786 (1992).
34. R Core Team, URL http://cran.r-project.org
35. J. M. Yeomans, Statistical Mechanics of Phase Transitions (Oxford University Press, Oxford, 1992).
36. H. G. Katzgraber, M. Körner, and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.224432 73, 224432 (2006).
37. I. A. Campbell, K. Hukushima, and H. Takayama, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.117202 97, 117202 (2006).
38. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, 1995).
39. H. Nishimori and H. Kawamura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.62.3266 62, 3266 (1993).
40. H. G. Katzgraber, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67. 180402 67, 180402 (R) (2003).