Universal dependence on disorder of two-dimensional randomly diluted and random-bond ±j Ising models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 1, 2008, Pages

  Hasenbusch, Martin ^a   Toldin, Francesco Parisen ^b,e   Pelissetto, Andrea ^c   Vicari, Ettore ^d  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^d UNIVERSITY OF PISA   (Italy)

^e UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETISM; ISING MODEL; MAGNETISM; MONTE CARLO METHODS;

AMERICAN PHYSICAL SOCIETY (APS); CRITICAL BEHAVIORS; DILUTED ISING MODEL; EDWARDS ANDERSON (EA) MODEL; FERROMAGNETIC (FM) TRANSITIONS; FINITE-SIZE SCALING ANALYSIS; FIXE D POINTS; ISING BEHAVIOR; LOGARITHMIC CORRECTIONS; MONTE CARLO SIMULATION (MCS); NUMERICA L RESULTS; QUENCHED DILUTION; RENORMALIZATION GROUP (RNG); RENORMALIZATION-GROUP PREDICTIONS; TWO-DIMENSIONAL (2D);

TWO DIMENSIONAL;

EID: 47749144701     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.011110     Document Type: Article

References (72)

1. V. S. Dotsenko and V. S. Dotsenko, JETP Lett. JTPLA2 0021-3640 33, 37 (1981);
2. V. S. Dotsenko and V. S. Dotsenko, Adv. Phys. ADPHAH 0001-8732 10.1080/00018738300101541 32, 129 (1983).
3. B. N. Shalaev, Sov. Phys. Solid State SPSSA7 0038-5654 26, 1811 (1984).
4. J. L. Cardy, J. Phys. A JPHAC5 0305-4470 19, L193 (1986);
5. J. L. Cardy, J. Phys. A JPHAC5 0305-4470 20, 5039(E) (1987).
6. R. Shankar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2466 58, 2466 (1987);
7. A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2388 61, 2388 (1988);
8. H. A. Ceccatto and C. Naon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2389 61, 2389 (1988).
9. A. W. W. Ludwig, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87) 90330-0 285, 97 (1987).
10. A. W. W. Ludwig and J. L. Cardy, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87)90362-2 285, 687 (1987).
11. I. O. Mayer, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/22/14/028 22, 2815 (1989).
12. A. W. W. Ludwig, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90) 90126-X 330, 639 (1990).
13. K. Ziegler, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90)90668-4 344, 499 (1990).
14. J.-S. Wang, W. Selke, V. S. Dotsenko, and V. B. Andreichenko, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/11/4/002 11, 301 (1990).
15. H. O. Heuer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.5691 45, 5691 (1992).
16. B. N. Shalaev, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)90086-8 237, 129 (1994).
17. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2785 72, 2785 (1994);
18. J.-K. Kim and A. Patrascioiu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.15764 49, 15764 (1994);
19. W. Selke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3487 73, 3487 (1994);
20. K. Ziegler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3488 73, 3488 (1994);
21. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3489 73, 3489 (1994).
22. R. Kühn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73. 2268 73, 2268 (1994).
23. S. L. A. de Queiroz and R. B. Stinchcombe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.9976 50, 9976 (1994).
24. A. L. Talapov and L. N. Shchur, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/27/3/004 27, 193 (1994).
25. A. L. Talapov and L. N. Shchur, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/40/020 6, 8295 (1994).
26. G. Mussardo and P. Simonetti, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(95)00412-E 351, 515 (1995).
27. V. Dotsenko, M. Picco, and P. Pujol, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(95)00534-Y 455, 701 (1995).
28. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R9616 54, R9616 (1996).
29. G. Jug and B. N. Shalaev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.3442 54, 3442 (1996).
30. D. C. Cabra, A. Honecker, G. Mussardo, and P. Pujol, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/24/008 30, 8415 (1997).
31. H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, and J. J. Ruiz-Lorenzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/24/006 30, 8379 (1997).
32. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.6013 56, 6013 (1997).
33. W. Selke, F. Szalma, P. Lajko, and F. Igloi, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02764223 89, 1079 (1997).
34. A. Roder, J. Adler, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4697 80, 4697 (1998);
35. A. Roder, J. Adler, and W. Janke, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00481-6 265, 28 (1999).
36. W. Selke, L. N. Shchur, and O. A. Vasilyev, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00274-X 259, 388 (1998).
37. G. Mazzeo and R. Kühn, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.3823 60, 3823 (1999).
38. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.6740 60, 6740 (1999).
39. H. J. Luo, L. Schülke, and B. Zheng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.036123 64, 036123 (2001).
40. F. D. Nobre, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.046108 64, 046108 (2001).
41. L. N. Shchur and O. A. Vasilyev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016107 65, 016107 (2001).
42. F. Merz and J. T. Chalker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.054425 65, 054425 (2002).
43. P. Calabrese, E. V. Orlov, D. V. Pakhnin, and A. I. Sokolov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.094425 70, 094425 (2004).
44. S. L. A. de Queiroz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73. 064410 73, 064410 (2006).
45. J. C. Lessa and S. L. A. de Queiroz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.021114 74, 021114 (2006).
46. M. Picco, A. Honecker, and P. Pujol, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006) P09006.
47. P. H. L. Martins and J. A. Plascak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.012102 76, 012102 (2007).
48. R. Kenna, D. A. Johnston, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.155702 97, 155702 (2006);
49. R. Kenna, D. A. Johnston, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.169901 97, 169901 (E) (2006).
50. A. B. Harris, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/9/009 7, 1671 (1974).
51. A. Pelissetto and E. Vicari, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00219-3 368, 549 (2002).
52. M. Hasenbusch, F. Parisen Toldin, A. Pelissetto, and E. Vicari, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) P02016.
53. F. J. Wegner, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. Green, (Academic, New York, 1976), Vol. 6, p. 7.
54. P. Calabrese, M. Caselle, A. Celi, A. Pelissetto, and E. Vicari, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/46/301 33, 8155 (2000).
55. M. Caselle, M. Hasenbusch, A. Pelissetto, and E. Vicari, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/23/305 35, 4861 (2002).
56. M. E. J. Newman and R. M. Ziff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4104 85, 4104 (2000);
57. M. E. J. Newman and R. M. Ziff, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.016706 64, 016706 (2001).
58. J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
59. 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).
60. H. Nishimori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.66.1169 66, 1169 (1981).
61. A. Georges, D. Hansel, P. Le Doussal, and J. Bouchaud, J. Phys. (Paris) JOPQAG 0302-0738 10.1051/jphys:0198500460110182700 46, 1827 (1985).
62. P. Le Doussal and A. B. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.625 61, 625 (1988).
63. P. Le Doussal and A. B. Harris, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.9249 40, 9249 (1989).
64. M. Hasenbusch, F. Parisen Toldin, A. Pelissetto, and E. Vicari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.051115 77, 051115 (2008).
65. J. Salas and A. D. Sokal, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1018611122166 98, 551 (2000).
66. P. Calabrese, P. Parruccini, A. Pelissetto, and E. Vicari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.036120 69, 036120 (2004).
67. T. C. Lubensky, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.3573 11, 3573 (1975).
68. G. Grinstein and A. Luther, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.13.1329 13, 1329 (1976).
69. M. Hasenbusch, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/26/304 32, 4851 (1999).
70. M. Hasenbusch, A. Pelissetto, and E. Vicari, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P12002.
71. U. Wolff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.361 62, 361 (1989).
72. M. Hasenbusch, F. Parisen Toldin, A. Pelissetto, and E. Vicari, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.094402 76, 094402 (2007).