English

Disordered Ising model with correlated frustration

Disordered Systems and Neural Networks 2019-04-30 v1 Statistical Mechanics

Abstract

We consider the ±J\pm J Ising model on a cubic lattice with a gauge-invariant disorder distribution. Disorder depends on a parameter βG\beta_G 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\beta_G, where frustration shows long-range correlations. We characterize the universality class, obtaining accurate estimates of the critical exponents: ν=0.655(15)\nu = 0.655(15) and ηq=1.05(5)\eta_q = 1.05(5), where ηq\eta_q is the overlap susceptibility exponent.

Keywords

Cite

@article{arxiv.1904.12725,
  title  = {Disordered Ising model with correlated frustration},
  author = {Angelo Giorgio Cavaliere and Andrea Pelissetto},
  journal= {arXiv preprint arXiv:1904.12725},
  year   = {2019}
}
R2 v1 2026-06-23T08:52:22.199Z