Arctic Curve of the Free-Fermion Six-Vertex Model in an L-Shaped Domain

International audience We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions, in the case of freefermion vertex weights. We describe how the recently developed 'Tangent method' can be used to determine the form of the arctic curv...

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Bibliographic Details
Published in:Journal of Statistical Physics
Main Authors: Colomo, F., Pronko, A., G, Sportiello, A.
Other Authors: Istituto Nazionale di Fisica Nucleare, Sezione di Firenze (INFN, Sezione di Firenze), Istituto Nazionale di Fisica Nucleare (INFN), Steklov Mathematical Institute Moscow (SMI, Russian Academy of Sciences Moscow (RAS), Université Sorbonne Paris Nord
Format: Article in Journal/Newspaper
Language:English
Published: HAL CCSD 2019
Subjects:
[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]
Arctic
Online Access:https://hal.science/hal-03205773
https://hal.science/hal-03205773/document
https://hal.science/hal-03205773/file/1807.07549_forhal.pdf
https://doi.org/10.1007/s10955-018-2170-2
Description
Summary:International audience We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions, in the case of freefermion 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.

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