Abstract. We perform high-statistics Monte Carlo simulations of three three- dimensional Ising spin glass models: the ±J Ising model for two values of the disorder parameter p, p = 1/2 and 0.7, and the bond-diluted ±J model for bond- occupation probability pb = 0.45. A finite-size scaling analysis of the quartic cumulants at the critical point shows conclusively that these models belong to the same universality class and allows us to estimate the scaling-correction exponent ? related to the leading irrelevant operator, ? = 1.0(1). We also determine the critical exponents ? and ?. Taking into account the scaling corrections, we obtain ? = 2.53(8) and ? = ?0.384(9).
The critical behavior of 3D Ising spin glass models: universality and scaling corrections / Hasenbusch, M; Pelissetto, Andrea; Vicari, E.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - STAMPA. - -:(2008), pp. L02001:1-L02001:8. [10.1088/1742-5468/2008/02/L02001]
The critical behavior of 3D Ising spin glass models: universality and scaling corrections
PELISSETTO, Andrea;
2008
Abstract
Abstract. We perform high-statistics Monte Carlo simulations of three three- dimensional Ising spin glass models: the ±J Ising model for two values of the disorder parameter p, p = 1/2 and 0.7, and the bond-diluted ±J model for bond- occupation probability pb = 0.45. A finite-size scaling analysis of the quartic cumulants at the critical point shows conclusively that these models belong to the same universality class and allows us to estimate the scaling-correction exponent ? related to the leading irrelevant operator, ? = 1.0(1). We also determine the critical exponents ? and ?. Taking into account the scaling corrections, we obtain ? = 2.53(8) and ? = ?0.384(9).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
