Phase diagram of d=4 Ising Model with two couplings

TL;DR

This paper investigates the phase diagram of a four-dimensional Ising model with two types of couplings, revealing mostly first-order transitions with a notable exception in the ferromagnetic-disordered boundary.

Contribution

It provides a detailed analysis of the phase transitions in the 4D Ising model with first and second neighbor couplings using Mean Field and Monte Carlo methods, especially in the antiferromagnetic region.

Findings

Most transition lines are first order

The ferromagnetic-disordered transition is not first order in a specific region

Monte Carlo results support the phase transition nature

Abstract

We study the phase diagram of the four dimensional Ising model with first and second neighbour couplings, specially in the antiferromagnetic region, by using Mean Field and Monte Carlo methods. From the later, all the transition lines seem to be first order except that between ferromagnetic and disordered phases in a region including the first-neighbour Ising transition point.