Arctic curves of the 20V model on a triangle

Research output: Contribution to journalArticlepeer-review


We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The result relies on a relation to the Six Vertex model with domain wall boundary conditions and suitable weights, as a consequence of integrability. We also perform the exact refined enumeration of configurations.

Original languageEnglish (US)
Article number204001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number20
StatePublished - May 19 2023


  • arctic phenomenon
  • ice type models
  • integrable lattice models
  • limit shape
  • osculating paths

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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