The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime

TL;DR

This paper derives an explicit expression for the boundary curve separating ordered and disordered regions in the anti-ferroelectric six-vertex model with domain wall boundary conditions.

Contribution

It provides the first explicit formula for the arctic curve in the anti-ferroelectric regime of the six-vertex model with domain wall boundary conditions.

Findings

Explicit arctic curve expression derived

Clear separation between frozen and temperate zones

Advances understanding of phase boundaries in the model

Abstract

An explicit expression for the spatial curve separating the region of ferroelectric order (`frozen' zone) from the disordered one (`temperate' zone) in the six-vertex model with domain wall boundary conditions in its anti-ferroelectric regime is obtained.