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

Abstract

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

References in corpus (8)

• Analytic solution of the Domain Wall non-equilibrium stationary state
• Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
• The Influence of Boundary Conditions in the Six-Vertex Model
• Artificial spin ice and vertex models
• The 6-vertex model with fixed boundary conditions
• Arctic curves for paths with arbitrary starting points: a tangent method approach
• Arctic Curves in path models from the Tangent Method
• Step fluctuations for a faceted crystal

Cited by in corpus (11)

• The Frustration of being Odd: How Boundary Conditions can destroy Local Order
• The Arctic curve for Aztec rectangles with defects via the Tangent Method
• Arctic curves of the four-vertex model
• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
• Arctic curves of the 20V model on a triangle
• Concavity analysis of the tangent method
• The partition function of the four-vertex model in inhomogeneous external field and trace statistics
• Double tangent method for two-periodic Aztec diamonds
• Gradient variational problems in ${\mathbb{R}}^2$
• Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
• Arctic curves of the $6$V model with partial DWBC and double Aztec rectangles