The spin-1/2 Ising model on the bow-tie lattice as an exactly soluble free-fermion model

TL;DR

This paper exactly solves the spin-1/2 Ising model on a bow-tie lattice by mapping it to a free-fermion eight-vertex model, providing detailed phase diagrams for various anisotropic interactions.

Contribution

It introduces an exact solution for the Ising model on the bow-tie lattice via a novel mapping to a free-fermion eight-vertex model, expanding solvable lattice models.

Findings

Ground-state phase diagram characterized

Finite-temperature phase transitions identified

Anisotropic interactions analyzed

Abstract

The spin-1/2 Ising model on the bow-tie lattice is exactly solved by establishing a precise mapping relationship with its corresponding free-fermion eight-vertex model. Ground-state and finite-temperature phase diagrams are obtained for the anisotropic bow-tie lattice with three different exchange interactions along three different spatial directions.