# Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition

## TL;DR

This paper analytically derives the arctic curve for the free-fermion six-vertex model with reflecting end boundary conditions, revealing a semicircular shape consistent with prior simulations.

## Contribution

It introduces an analytical derivation of the arctic curve for this specific boundary condition using the Tangent Method at the free fermion point.

## Key findings

- Arctic curve is a semicircle at the free fermion point.
- Analytical results agree with Monte Carlo simulations.
- Boundary correlations' asymptotics are key to the derivation.

## Abstract

We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve is a semicircle, which is in agreement with previous Monte Carlo simulations.