Soluble kagome Ising model in a magnetic field

TL;DR

This paper presents an exact solution for a kagome lattice Ising model with super-exchange interactions in a magnetic field, revealing critical behavior and phase transition properties.

Contribution

It generalizes Fisher's 1960 super-exchange model and analyzes its thermodynamic and magnetic properties using a free-fermion approach.

Findings

Exhibits a second-order phase transition with logarithmic singularities.

Derives the critical condition for the model.

Provides detailed thermodynamic and magnetic analysis.

Abstract

An Ising model on the kagome lattice with super-exchange interactions is solved exactly under the presence of a nonzero external magnetic field. The model generalizes the super-exchange model introduced by Fisher in 1960 and is analyzed in light of a free-fermion model. We deduce the critical condition and present detailed analyses of its thermodynamic and magnetic properties. The system is found to exhibit a second-order transition with logarithmic singularities at criticality.