Phase separation in the six-vertex model with a variety of boundary conditions

Abstract

We present numerical results for the six-vertex model with a variety of boundary conditions. Adapting an algorithm proposed by Allison and Reshetikhin for domain wall boundary conditions, we examine some modifications of these boundary conditions. To be precise, we discuss partial domain wall boundary conditions, reflecting ends and half turn boundary conditions (domain wall boundary conditions with half turn symmetry).

12+2 pages, 11 figures, invited contribution for Journal of Mathematical Physics special issue "To the memory of Ludwig Faddeev"

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Cited by in corpus (8)

• Inhomogeneous Gaussian Free Field inside the interacting arctic curve
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Arctic curves of the twenty-vertex model with domain wall boundaries
• The partition function of the four-vertex model in inhomogeneous external field and trace statistics
• Arctic curves of the $6$V model with partial DWBC and double Aztec rectangles
• Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
• Boundary correlations for the six-vertex model with reflecting end boundary condition
• Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits