3D Ising Nonuniversality: a Monte Carlo study

TL;DR

This study uses Monte Carlo simulations to explore how the critical properties of the 3D Ising model change with next-nearest neighbor interactions, revealing nonuniversality in certain parameters.

Contribution

It demonstrates that the Binder cumulant and susceptibility ratio vary with negative next-nearest neighbor interactions, challenging the assumption of universality in the 3D Ising class.

Findings

Binder cumulant varies with interaction strength

Susceptibility ratio varies at critical point

Nonuniversality observed in critical quantities

Abstract

We investigate as a member of the Ising universality class the Next-Nearest Neighbour Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbour interactions.