Fully Frustrated Ising System on a 3D Simple Cubic Lattice: Revisited

TL;DR

This study uses Monte Carlo simulations to analyze the critical behavior of a 3D fully frustrated Ising model, revealing two phase transitions with distinct orders and emphasizing the role of entropy in low-temperature states.

Contribution

The paper provides a detailed numerical analysis of the phase transitions in a 3D fully frustrated Ising system, identifying two distinct transition temperatures and their nature, which was not previously clarified.

Findings

Two phase transitions identified: one second order, one first order.

Critical exponent extracted for the higher temperature transition.

Entropy significantly influences the low-temperature phase stability.

Abstract

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical accuracy, the transition at higher temperature is found to be second order and we have extracted the standard critical exponent using finite size scaling method. On the other hand, the transition at lower temperature is found to be first order. It is argued that entropy plays a major role on determining the low temperature state.