Flat Energy-Histogram Simulation of the Phase Transition in an Ising Fully Frustrated Lattice

TL;DR

This paper employs the Wang-Landau flat energy-histogram Monte Carlo method to conclusively demonstrate the first-order phase transition in a fully frustrated Ising lattice, resolving a long-standing question.

Contribution

It applies the Wang-Landau technique to a fully frustrated lattice, providing clear evidence of the first-order transition for the first time.

Findings

Confirmed the first-order nature of the phase transition

Demonstrated the effectiveness of flat energy-histogram methods

Resolved a 25-year-old open question

Abstract

We show in this paper the results on the phase transition of the so-called fully frustrated simple cubic lattice with the Ising spin model. We use here the Monte Carlo method with the flat energy-histogram Wang-Landau technique which is very powerful to detect weak first-order phase transition. We show that the phase transition is clearly of first order, providing a definite answer to a question raised 25 years ago.