MCRG study of d-dimensional random field Ising models

Abstract
A Monte Carlo Renormalization Group method has been used to study d-dimensional hypercubic Ising models in random fields (±H). For d = 4 our results are consistent with classical critical behavior. For d = 3 we find a sharp transition with critical exponents which are apparently modified by the random field. We find no sharp transition for d = 2.