Two dimensional Ising spin glasses with non-zero ordering temperatures

TL;DR

This paper numerically demonstrates that certain two-dimensional Ising spin glasses with specific interactions can exhibit a non-zero freezing temperature, contrasting with typical 2D spin glasses.

Contribution

It introduces a class of 2D Ising spin glasses with non-zero ordering temperatures, expanding understanding of phase transitions in low-dimensional disordered systems.

Findings

Non-zero freezing temperature observed in 2D spin glasses with specific interactions

Comparison of physical properties with higher-dimensional spin glasses

Numerical evidence supporting phase transition in 2D systems

Abstract

We demonstrate numerically that for Ising spins on square lattices with ferromagnetic second neighbour interactions and random near neighbour interactions, two dimensional Ising spin glass order with a non-zero freezing temperature can occur. We compare some of the physical properties of these spin glasses with those of standard spin glasses in higher dimensions.