Fractal dimension of domain walls in two-dimensional Ising spin glasses

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 17, 2007, Pages

  Melchert, O ^a   Hartmann, A K ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35848968273     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.174411     Document Type: Article

References (42)

1. K. Binder and A. Young, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.801 58, 801 (1986).
2. M. Mézard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
3. K. Fischer and J. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991).
4. Spin Glasses and Random Fields, edited by, A. Young, (World Scientific, Singapore, 1998).
5. H. Rieger, L. Santen, U. Blasum, M. Diehl, and M. Jünger, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/14/018 29, 3939 (1996).
6. N. Kawashima and H. Rieger, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1997-00318-5 39, 85 (1997).
7. A. K. Hartmann and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.180404 64, 180404 (R) (2001).
8. J. Houdayer, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/PL00011151 22, 479 (2001).
9. A. C. Carter, A. J. Bray, and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.077201 88, 077201 (2002).
10. W. L. McMillan, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/18/010 17, 3179 (1984).
11. D. S. Fisher and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.386 38, 386 (1988).
12. D. S. Fisher and D. A. Huse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1601 56, 1601 (1986).
13. A. K. Hartmann, A. J. Bray, A. C. Carter, M. A. Moore, and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.224401 66, 224401 (2002).
14. A. K. Hartmann and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.127201 90, 127201 (2003).
15. A. K. Hartmann and M. A. Moore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.104409 69, 104409 (2004).
16. 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).
17. D. Bernard, P. Le Doussal, and A. A. Middleton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.020403 76, 020403 (R) (2007).
18. M. Weigel and D. Johnston, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.054406 76, 054406 (2007).
19. A. A. Middleton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.060202 63, 060202 (R) (2001).
20. A. J. Bray and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.57 58, 57 (1987).
21. N. Kawashima and T. Aoki, J. Phys. Soc. Jpn. JUPSAU 0031-9015 69 (Suppl. A), 169 (2000).
22. M. Palassini and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.R9919 60, R9919 (1999).
23. C. Amoruso, E. Marinari, O. C. Martin, and A. Pagnani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.087201 91, 087201 (2003).
24. F. Roma, S. Risau-Gusman, A. J. Ramirez-Pastor, F. Nieto, and E. E. Vogel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.020402 75, 020402 (R) (2007).
25. J. W. Landry and S. N. Coppersmith, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.134404 65, 134404 (2002).
26. A. Aromsawa and J. Poulter, arXiv:0704.1186v2 (unpublished).
27. R. Fisch, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9223-7 125, 789 (2006).
28. R. Fisch, arXiv:cond-mat/0703137 (unpublished).
29. A. K. Hartmann and H. Rieger, Optimization Algorithms in Physics (Wiley-VCH, Weinheim, 2001).
30. A. K. Hartmann, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00443-3 248, 1 (1998).
31. O. Melchert and A. K. Hartmann (unpublished).
32. F. Barahona, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/10/028 15, 3241 (1982).
33. I. Bieche, R. Maynard, R. Rammal, and J. P. Uhry, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/8/005 13, 2553 (1980).
34. Rugged Free Energy Landscapes, edited by, W. Janke, (Springer, New York, 2007).
35. R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows: Theory, Algorithms, and Applications (Prentice-Hall, Englewood Cliffs, NJ, 1993).
36. K. Mehlhorn and S. Näher, LEDA: A Platform for Combinatorial and Geometric Computing (Cambridge University Press, Cambridge, 1999).
37. K. Mehlhorn and G. Schäfer, 4th International Workshop on Algorithm Engineering, Lecture Notes in Computer Science (Springer, New York, 2000), pp. 23-38.
38. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge England, 1992), Q is the probability that the value of χ2, is worse than in the current fit.
39. S. V. Buldyrev, S. Havlin, E. López, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.035102 70, 035102 (R) (2004).
40. S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036128 73, 036128 (2006).
41. M. Barthélémy, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.R1123 60, R1123 (1999).
42. R. Schorr and H. Rieger, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00175-6 33, 347 (2003).