Disordered Ising model with correlated frustration

Angelo Giorgio Cavaliere, Andrea Pelissetto

Abstract:

We consider the ±J Ising model on a cubic lattice with a gauge-invariant
disorder distribution. Disorder depends on a parameter βG that plays the role of a
chemical potential for the amount of frustration. We study the model at a specific
value of the disorder parameter βG, where frustration shows long-range correlations.
We characterize the universality class, obtaining accurate estimates of the critical
exponents: ν = 0.655(15) and ηq = 1.05(5), where ηq is the overlap susceptibility
exponent.