On the critical exponent $\alpha$ of the 5D random-field Ising model

Abstract

We present a complementary estimation of the critical exponent $\alpha$ of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result $\alpha =0.12(2)$ is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at $D=5$.

11 pages, 7 figures, final version with minor corrections