The Phase Structure of Antiferromagnetic Ising Model in the Presence of Frustrations

TL;DR

This paper investigates the phase diagram of the antiferromagnetic Ising model on a Husimi tree, revealing how frustration influences critical behavior, including re-entrant phases and Griffiths singularities.

Contribution

It provides a detailed analysis of frustration effects on phase transitions in the antiferromagnetic Ising model using iterative methods.

Findings

Identification of three distinct critical regions

Re-entrant phase structure observed

Presence of Griffiths singularities

Abstract

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram. We show that frustration effects essentially change the critical properties. The model exhibits three distinct critical regions, including re-entrant phase structure and Griffiths singularities.