The Two Dimensional XY Spin Glass with Ferromagnetic Next-Nearest-Neighbour Interactions

TL;DR

This paper investigates the phase transition in a 2D XY spin glass with ferromagnetic next-nearest-neighbour interactions using Monte Carlo simulations, providing evidence for a finite-temperature spin glass transition and estimating critical exponents.

Contribution

It introduces a detailed Monte Carlo analysis of a 2D XY spin glass with ferromagnetic next-nearest-neighbour interactions, highlighting the existence of a finite-temperature transition and universal critical behavior.

Findings

Finite-temperature spin glass transition at T_c≈1.1

Estimated critical exponents vary with interaction strength

Results support universal behavior in the model

Abstract

The random-bond XY spin glass with ferromagnetic next-nearest-neighbour interactions is studied on a square lattice by Monte Carlo simulations. We find strong evidence for a finite-temperature spin glass transition at $T_c\approx 1.1$. We also give estimates for the spin glass critical exponents for different values of the strength of the nearest-neighbour interaction. Our results are consistent with universal behaviour.