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Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study

M. Itakura
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Abstract

With the help of the replica exchange Monte Carlo method and the improved Monte Carlo renormalization-group scheme, we investigate over a wide area in the phase diagram of the Gaussian random field Ising model on the simple cubic lattice. We found that the phase transition at a weak random field belongs to the same universality class as the zero-temperature phase transition. We also present a possible scenario for the replica symmetry breaking transition.

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M. Itakura. 2001-05-23. Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study. https://doi.org/10.1103/physrevb.64.012415

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