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

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...

Full description

Bibliographic Details
Main Authors: Passos, I. R., Ribeiro, G. A. P.
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2019
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.1908.05773
https://arxiv.org/abs/1908.05773
Description
Summary: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. : 30 pages, 8 figures