The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit 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.

58 pages (LaTeX2e). Includes tex file, three sty files, and 6 Postscript figures. Minor changes from v1. Final version accepted for publication

References in corpus (5)

• Cluster simulations of loop models on two-dimensional lattices
• Worm Monte Carlo study of the honeycomb-lattice loop model
• Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
• Critical interfaces of the Ashkin-Teller model at the parafermionic point
• Spin interfaces in the Ashkin-Teller model and SLE

Cited by in corpus (8)

• On the transition between the disordered and antiferroelectric phases of the 6-vertex model
• Baxter-Wu model in a transverse magnetic field
• Stability and Loop Models from Decohering Non-Abelian Topological Order
• The 16-vertex model and its even and odd 8-vertex subcases on the square lattice
• Numerical study of the spin-3/2 Ashkin-Teller model
• Finitary codings for gradient models and a new graphical representation for the six-vertex model
• On antiferromagnetic regimes in the Ashkin-Teller model
• Non-onsite symmetry breaking: topological phase coexistence and criticality