Six-vertex model with partial domain wall boundary conditions: Ferroelectric phase

DOI10.1063/1.4908227zbMath1334.82077arXiv1407.8483OpenAlexW3100150980MaRDI QIDQ5178220

Karl Liechty, Pavel M. Bleher

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8483

zbMATH Keywords

partition functionsix-vertex modelMeixner orthogonal polynomialsferroelectric phaseice rulepartial domain wall boundary conditions (pDWBC)

Mathematics Subject Classification ID

Statistical mechanics of ferroelectrics (82D45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

Phase separation in the six-vertex model with a variety of boundary conditions ⋮ Construction of determinants for the six-vertex model with domain wall boundary conditions ⋮ One-point function of the four-vertex model ⋮ The Mother Body Phase Transition in the Normal Matrix Model ⋮ Domain wall six-vertex model with half-turn symmetry ⋮ Boundary correlations for the six-vertex model with reflecting end boundary condition ⋮ Six–vertex model with domain wall boundary conditions in the Bethe–Peierls approximation ⋮ The entropy of the six-vertex model with a variety of different boundary conditions ⋮ The density profile of the six vertex model with domain wall boundary conditions ⋮ Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition ⋮ Boundary polarization of the rational six-vertex model on a semi-infinite lattice ⋮ Arctic curves of the twenty-vertex model with domain wall boundaries ⋮ Off-shell Bethe states and the six-vertex model ⋮ Boundary one-point function of the rational six-vertex model with partial domain wall boundary conditions: explicit formulas and scaling properties

Cites Work

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• Calculation of norms of Bethe wave functions
• Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase
• Distribution of the first particle in discrete orthogonal polynomial ensembles
• Partial domain wall partition functions
• Inner products of Bethe states as partial domain wall partition functions
• Shape fluctuations and random matrices
• Random Matrices and the Six-Vertex Model
• Global Asymptotics of the Meixner Polynomials
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Determinant formula for the six-vertex model

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