First-Order Transition in XY Fully Frustrated Simple Cubic Lattice

TL;DR

This study uses advanced Monte Carlo simulations to conclusively demonstrate that the phase transition in the 3D XY fully frustrated simple cubic lattice is of first order, resolving a long-standing debate.

Contribution

The paper provides the first definitive evidence of a first-order transition in this model using large-scale Wang-Landau simulations.

Findings

Transition is clearly first order

Large lattice simulations confirm previous conjectures

Resolves over twenty years of uncertainty

Abstract

We study the nature of the phase transition in the fully frustrated simple cubic lattice with the XY spin model. This system is the Villain's model generalized in three dimensions. The ground state is very particular with a 12-fold degeneracy. Previous studies have shown unusual critical properties. With the powerful Wang-Landau flat-histogram Monte Carlo method, we carry out in this work intensive simulations with very large lattice sizes. We show that the phase transition is clearly of first order, putting an end to the uncertainty which has lasted for more than twenty years.