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

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 i...

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Bibliographic Details
Main Authors: Colomo, Filippo, Pronko, Andrei G., Sportiello, Andrea
Format: Text
Language:unknown
Published: arXiv 2018
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.1807.07549
https://arxiv.org/abs/1807.07549
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Summary: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. : 28 pages, 10 figures; v3: minor corrections, Ref. [12] added