Critical behavior of the Coulomb-glass model in the zero-disorder limit: Ising universality in a system with long-range interactions

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 17, 2009, Pages

  Mobius A ^a   Rossler U K ^a  

^a IFW DRESDEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67449095945     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.174206     Document Type: Article

References (42)

1. Y. Levin, Rep. Prog. Phys. 65, 1577 (2002). 10.1088/0034-4885/65/11/201
2. M. Ortuño, J. Talamantes, E. Cuevas, and A. Díaz- Sánchez, Philos. Mag. B 81, 1049 (2001). 10.1080/13642810108205790
3. T. Vojta, J. Phys. A 26, 2883 (1993). 10.1088/0305-4470/26/12/025
4. E. R. Grannan and C. C. Yu, Phys. Rev. Lett. 71, 3335 (1993). 10.1103/PhysRevLett.71.3335
5. T. Vojta and M. Schreiber, Phys. Rev. Lett. 73, 2933 (1994). 10.1103/PhysRevLett.73.2933
6. A. Díaz-Sánchez, M. Ortuño, A. Pérez-Garrido, E. Cuevas, Phys. Status Solidi B 218, 11 (2000). 10.1002/(SICI)1521-3951(200003) 218:1<11::AID-PSSB11>3.0.CO;2-Y
7. M. H. Overlin, L. A. Wong, and C. C. Yu, Phys. Rev. B 70, 214203 (2004). 10.1103/PhysRevB.70.214203
8. S. Pankov and V. Dobrosavljević, Phys. Rev. Lett. 94, 046402 (2005). 10.1103/PhysRevLett.94.046402
9. M. Müller and S. Pankov, Phys. Rev. B 75, 144201 (2007). 10.1103/PhysRevB.75.144201
10. V. Malik and D. Kumar, Phys. Rev. B 76, 125207 (2007). 10.1103/PhysRevB.76.125207
11. R. Dickman and G. Stell, in Simulation and Theory of Electrostatic Interactions in Solution: Computational Chemistry, Biophysics, and Aqueous Solutions, Proceedings of the Workshop on Treatment of Electrostatic Interactions in Computer Simulations of Condensed Media, Santa Fe, New Mexico, USA, 23-25 June 1999, AIP Conf. Proc. No. 492, edited by, L. R. Pratt, and, G. Hummer, (AIP, New York, 1999), p. 225
12. R. Dickman and G. Stell, arXiv:cond-mat/9906364 (unpublished).
13. E. Luijten, M. E. Fisher, and A. Z. Panagiotopoulos, Phys. Rev. Lett. 88, 185701 (2002). 10.1103/PhysRevLett.88.185701
14. A. Brognara, A. Parola, and L. Reatto, Phys. Rev. E 65, 066113 (2002). 10.1103/PhysRevE.65.066113
15. A. Ciach and G. Stell, Phys. Rev. Lett. 91, 060601 (2003). 10.1103/PhysRevLett.91.060601
16. A. Ciach and G. Stell, Phys. Rev. E 70, 016114 (2004). 10.1103/PhysRevE.70.016114
17. A. Ciach, Phys. Rev. E 70, 046103 (2004). 10.1103/PhysRevE.70.046103
18. A. Ciach and G. Stell, Int. J. Mod. Phys. B 19, 3309 (2005). 10.1142/S0217979205032176
19. N. G. Almarza and E. Enciso, Phys. Rev. E 64, 042501 (2001). 10.1103/PhysRevE.64.042501
20. A. Möbius and U. K. Rößler, Physica B 329-333, 1231 (2003). 10.1016/S0921-4526(02)02196-8
21. A. Möbius and U. K. Rößler, arXiv:cond-mat/0309001 (unpublished).
22. E. Luijten and H. W. J. Blöte, Phys. Rev. Lett. 89, 025703 (2002), and references therein. 10.1103/PhysRevLett.89.025703
23. M. E. Fisher, S.-k. Ma, and B. G. Nickel, Phys. Rev. Lett. 29, 917 (1972). 10.1103/PhysRevLett.29.917
24. M. B. Luo, Q. H. Chen, S. S. Feng, and Z. K. Jiao, J. Phys.: Condens. Matter 14, 6483 (2002). 10.1088/0953-8984/14/25/315
25. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953). 10.1063/1.1699114
26. A. Möbius, P. Thomas, J. Talamantes, and C. J. Adkins, Philos. Mag. B 81, 1105 (2001). 10.1080/13642810108205794
27. P. Napolitani, Ph. Chomaz, F. Gulminelli, and K. H. O. Hasnaoui, Phys. Rev. Lett. 98, 131102 (2007). 10.1103/PhysRevLett.98.131102
28. A single-particle hop from site i to site j in the central cube, which is accompanied by corresponding hops in the 26 neighboring cubes, modifies the total energy of all 27 cubes not only by the difference of the corresponding single-particle energies. But, moreover, it reduces the total energy by the attraction terms for the 729 pairs of differently occupied participating sites. Simultaneously, the total energy is increased by the repulsion terms of the 702 pairs of equally occupied sites. Focusing only on the energy change related to the central cube, we utilize 1/27 of all these terms as approximation of fij, namely, the sum of the interaction of the occupied site in the central cube with the empty sites in all cubes, reduced by the sum of the interactions of the occupied site in the central cube with the occupied sites in the neighboring cubes.
29. A. Möbius and P. Thomas, Phys. Rev. B 55, 7460 (1997). 10.1103/PhysRevB.55.7460
30. A. B. Bortz, M. H. Kalos, and J. L. Lebowitz, J. Comput. Phys. 17, 10 (1975). 10.1016/0021-9991(75)90060-1
31. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Clarendon, Oxford, 1999).
32. K. Binder and D. W. Heermann, Monte Carlo Simulation in Statistical Physics-An Introduction, Springer Series in Solid-State Sciences, 4th ed. (Springer, Berlin, 2002), Vol. 80.
33. K. Binder, E. Luijten, M. Müller, N. B. Wilding, and H. W. J. Blöte, Physica A 281, 112 (2000), and references therein. 10.1016/S0378-4371(00)00025-X
34. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group, Frontiers in Physics (Wesley, Reading, 1992), Vol. 85.
35. M. Hasenbusch, Int. J. Mod. Phys. C 12, 911 (2001). 10.1142/ S0129183101002383
36. G. Kamieniarz and H. W. J. Blöte, J. Phys. A 26, 201 (1993). 10.1088/0305-4470/26/2/009
37. W. Selke, Eur. Phys. J. B 51, 223 (2006). 10.1140/epjb/e2006-00209-7
38. H. W. J. Blöte, E. Luijten, and J. R. Heringa, J. Phys. A 28, 6289 (1995). 10.1088/0305-4470/28/22/007
39. M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. E 65, 066127 (2002), Table 1 and, for obtaining β/ν and γ/ν [Eqs. (3.20) and (22)]. This high-temperature series expansion is supported by the Monte Carlo study (Ref.). 10.1103/PhysRevE.65.066127
40. A. Weyersberg, T. Holey, and M. Fähnle, J. Stat. Phys. 66, 133 (1992). 10.1007/BF01060063
41. M. Goethe and M. Palassini, arXiv:0810.1047 (unpublished).
42. B. Surer, H. G. Katzgraber, G. T. Zimanyi, B. A. Allgood, and G. Blatter, Phys. Rev. Lett. 102, 067205 (2009). 10.1103/PhysRevLett.102.067205