Arctic curve of the free-fermion six-vertex model in an L-shaped domain

TL;DR

This paper applies the tangent method to determine the arctic curve in a free-fermion six-vertex model on an L-shaped domain, confirming results with numerical simulations.

Contribution

It introduces the use of the tangent method for deriving the arctic curve in an L-shaped domain within the free-fermion six-vertex model.

Findings

Arctic curve shape matches numerical simulations.

Tangent method effectively determines phase boundary.

Model analysis confirms theoretical predictions.

Abstract

We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions, in the case of free-fermion vertex weights. We describe how the recently developed `Tangent method' can be used to determine the form of the arctic curve. The obtained result is in agreement with numerics.