The critical behavior of 3D Ising glass models: universality and scaling corrections

Details The critical behavior of 3D Ising glass models: universality and scaling corrections The critical behavior of 3D Ising glass models: universality and scaling corrections

2007-10-10

arxiv.org/abs/0710.1980v2

J. Stat. Mech. L02001 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, published version

Scientific paper

10.1088/1742-5468/2008/02/L02001

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 p=0.7, and the bond-diluted +-J model for bond-occupation probability p_b = 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 omega related to the leading irrelevant operator, omega=1.0(1). We also determine the critical exponents nu and eta. Taking into account the scaling corrections, we obtain nu=2.53(8) and eta=-0.384(9).

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