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

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

2000-12-28

arxiv.org/abs/cond-mat/0012488v4

Phys. Rev. B 64, 012415 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, revtex, 6 figures. Final version to appear in PRB(Brief Report)

Scientific paper

10.1103/PhysRevB.64.012415

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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