Possible description of domain walls in two-dimensional spin glasses by stochastic Loewner evolutions

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 2, 2007, Pages

  Bernard, Denis ^a   Le Doussal, Pierre ^a   Middleton, A Alan ^b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b SYRACUSE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34447298073     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.020403     Document Type: Article

References (26)

1. J. Cardy, Ann. Phys. (N.Y.) APNYA6 0003-4916 318, 81 (2005).
2. M. Bauer and D. Bernard, Phys. Rep. PRPLCM 0370-1573 432, 115 (2006).
3. O. Schramm, Isr. J. Math. ISJMAP 0021-2172 128, 221 (2000).
4. D. Bernard, G. Boffetta, A. Celani, and G. Falkovich, Nat. Phys. ZZZZZZ 1745-2473 2, 124 (2006).
5. J. Cardy, arXiv:cond-mat/9911024 (unpublished);
6. in Statistical Field Theories, edited by, A. Cappelli, and, G. Mussardo, (Kluwer, Dordrecht, 2002);
7. V. Gurarie and A. W. W. Ludwig, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/27/101 35, L377 (2002);
8. D. Bernard, arXiv:cond-mat/9509137 (unpublished).
9. J. Cardy and J. L. Jacobsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4063 79, 4063 (1997).
10. H. Obuse, A. R. Subramaniam, A. Furusaki, I. A. Gruzberg, and A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.156802 98, 156802 (2007).
11. C. Amoruso, A. K. Hartmann, M. B. Hastings, and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.267202 97, 267202 (2006).
12. We quote our results, consistent with, e.g., M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2320 72, 2320 (1994);
13. R. Dobrin and P. M. Duxbury, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5076 86, 5076 (2001); and Ref..
14. D. B. Wilson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.037105 69, 037105 (2004);
15. B. Wieland and D. B. Wilson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.056101 68, 056101 (2003).
16. See, e.g., O. Melchert and A. K. Hartmann, arXiv:physics/0704.2004 (unpublished).
17. F. Barahona, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/10/028 15, 3241 (1982).
18. W. L. McMillan, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/18/010 17, 3179 (1984).
19. A. J. Bray and M. A. Moore, in Heidelberg Colloquium on Glassy Dynamics, edited by, J. L. Van Hemmen, and, I. Morgenstern, (Springer, Berlin, 1986).
20. D. S. Fisher and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.386 38, 386 (1988);
21. D. S. Fisher and D. A. Huse, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/20/15/013 20, L1005 (1987).
22. A. A. Middleton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 83.1672 83, 1672 (1999).
23. M. Palassini and A. P. Young, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5126 83, 5126 (1999).
24. O. Schramm, Electron. Commun. Probab. ZZZZZZ 1083-589X 6, 115 (2001). This formula holds for SLE in the upper half plane, but should describe SLE curves near their start here. Our results are independent of R, for R
25. A. A. Middleton, D. Bernard, and P. Le Doussal (unpublished).
26. M. Bauer, D. Bernard, and J. Houdayer, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2005, P03001 (2005).