4.6 Article

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

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ac17a6

Keywords

integrable lattice models; arctic phenomenon; domino tilings; six vertex model; lattice paths

Funding

  1. Morris and Gertrude Fine endowment
  2. NSF [DMS18-02044]
  3. NSF RTG Grant [DMS19-37241]

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The tangent method of Colomo and Sportiello was applied to predict the arctic curves of the six vertex model with reflecting boundary and the related twenty vertex model with suitable domain wall boundary conditions on a quadrangle, both in their disordered phase.
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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