Arctic curves of the reflecting boundary six vertex and of the twenty vertex models

International audience We apply the tangent method of Colomo and Sportiello to predict the arctic curves of the six vertex model with reflecting (U-turn) boundary and of the related twenty vertex model with suitable domain wall boundary conditions on a quadrangle, both in their disordered phase.

Bibliographic Details
Main Author: Di Francesco, Philippe
Other Authors: Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), The Morris and Gertrude Fine endowment, the NSF Grant DMS18-02044, and the NSF RTG Grant DMS19-37241
Format: Article in Journal/Newspaper
Language:English
Published: HAL CCSD 2021
Subjects:
integrable lattice models
arctic phenomenon
domino tilings
six vertex model
lattice paths
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Arctic
Quadrangle
Online Access:https://hal.science/hal-04216441
https://hal.science/hal-04216441/document
https://hal.science/hal-04216441/file/Di_Francesco_2021_J._Phys._A%20_Math._Theor._54_355201.pdf
https://doi.org/10.1088/1751-8121/ac17a6
Description
Summary:International audience We apply the tangent method of Colomo and Sportiello to predict the arctic curves of the six vertex model with reflecting (U-turn) boundary and of the related twenty vertex model with suitable domain wall boundary conditions on a quadrangle, both in their disordered phase.

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