The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit Ashkin-Teller Models

TL;DR

This paper explores the relationship between the Hintermann-Merlini-Baxter-Wu model and the infinite-coupling-limit Ashkin-Teller model, mapping their configurations and analyzing phase diagrams across various lattices.

Contribution

It introduces a mapping between the Hintermann-Merlini-Baxter-Wu model and a specific limit of the Ashkin-Teller model, expanding understanding of their connections.

Findings

Mapped the Hintermann-Merlini-Baxter-Wu model to the infinite-coupling-limit Ashkin-Teller model.

Computed phase diagrams for the Ashkin-Teller model on multiple lattices.

Analyzed relationships among standard, mixed, and generalized Ashkin-Teller models.

Abstract

We show how the Hintermann-Merlini-Baxter-Wu model (which is a generalization of the well-known Baxter-Wu model to a general Eulerian triangulation) can be mapped onto a particular infinite-coupling-limit of the Ashkin-Teller model. We work out some mappings among these models, also including the standard and mixed Ashkin-Teller models. Finally, we compute the phase diagram of the infinite-coupling-limit Ashkin-Teller model on the square, triangular, hexagonal, and kagome lattices.