The genus-zero five-vertex model

Abstract

We study the free energy and limit shape problem for the five-vertex model with periodic "genus zero" weights. We derive the exact phase diagram, free energy and surface tension for this model. We show that its surface tension has trivial potential and use this to give explicit parameterizations of limit shapes.

28 pages, accepted version

References in corpus (2)

• Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models
• Gradient variational problems in ${\mathbb{R}}^2$

Cited by in corpus (2)

• Gradient variational problems in ${\mathbb{R}}^2$
• Dimer Models and Conformal Structures