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arXiv · 1904.12725

Disordered Ising model with correlated frustration

Angelo Giorgio Cavaliere·Andrea Pelissetto
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Abstract

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

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Angelo Giorgio Cavaliere, Andrea Pelissetto. 2019-04-29. Disordered Ising model with correlated frustration. https://doi.org/10.1088/1751-8121%2Fab10f9

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