The arctic curve of the domain-wall six-vertex model
From MaRDI portal
Publication:963319
DOI10.1007/s10955-009-9902-2zbMath1187.82019arXiv0907.1264OpenAlexW2079720956MaRDI QIDQ963319
Publication date: 19 April 2010
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.1264
correlation functionsrandom matrix modelsemptiness formation probabilitylimit shapessix-vertex modeldomain wall boundary conditionsalternating-sign matricescondensation hypothesisspatial phase separation
Related Items
Integrability of limit shapes of the inhomogeneous six vertex model ⋮ The frustration-free fully packed loop model ⋮ The five-vertex model and enumerations of plane partitions ⋮ Exact time evolution formulae in the XXZ spin chain with domain wall initial state ⋮ Emptiness formation probability of the six-vertex model and the sixth Painlevé equation ⋮ Arctic curves of the 6V model with partial DWBC and double Aztec rectangles ⋮ Double tangent method for two-periodic Aztec diamonds ⋮ An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions ⋮ Arctic curves of the six-vertex model on generic domains: the tangent method ⋮ Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse ⋮ Phase separation in the six-vertex model with a variety of boundary conditions ⋮ Artificial spin-ice and vertex models ⋮ On the emptiness formation probability in the free-fermion six-vertex model with domain wall boundary conditions ⋮ Integrability of limit shapes of the six vertex model ⋮ Arctic curves of the four-vertex model ⋮ Domain wall fluctuations of the six-vertex model at the ice point ⋮ Fluctuation of the phase boundary in the six-vertex model with domain wall boundary conditions: a Monte Carlo study ⋮ GOE fluctuations for the maximum of the top path in alternating sign matrices ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Multiple Meixner-Pollaczek polynomials and the six-vertex model ⋮ Boundary correlations for the six-vertex model with reflecting end boundary condition ⋮ From alternating sign matrices to the Gaussian unitary ensemble ⋮ Coupling functions for domino tilings of Aztec diamonds ⋮ Arctic curve of the free-fermion six-vertex model in an L-shaped domain ⋮ The arctic curve of the domain wall six-vertex model in its antiferroelectric regime ⋮ Six–vertex model with domain wall boundary conditions in the Bethe–Peierls approximation ⋮ Inhomogeneous field theory inside the arctic circle ⋮ Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain ⋮ 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 ⋮ Concavity analysis of the tangent method ⋮ Boundary polarization of the rational six-vertex model on a semi-infinite lattice ⋮ Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Arctic curves of the twenty-vertex model with domain wall boundaries ⋮ Factorization in the multirefined tangent method ⋮ Off-shell Bethe states and the six-vertex model ⋮ The Arctic curve for Aztec rectangles with defects via the tangent method ⋮ Limit shapes of the stochastic six vertex model ⋮ Thermodynamics of the six-vertex model in an L-shaped domain ⋮ Integral formulas and antisymmetrization relations for the six-vertex model ⋮ Some explicit results for the generalized emptiness formation probability of 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 ⋮ Inhomogeneous Gaussian free field inside the interacting arctic curve ⋮ Emptiness formation probability and Painlevé V equation in the XY spin chain ⋮ Non-probabilistic fermionic limit shapes ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory ⋮ The partition function of the four-vertex model in inhomogeneous external field and trace statistics ⋮ Arctic curves of the reflecting boundary six vertex and of the twenty vertex models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
- Calculation of norms of Bethe wave functions
- Exact solution of the six-vertex model with domain wall boundary conditions. Disordered phase
- Emptiness formation probability in the domain-wall six-vertex model
- Walks, walls, wetting, and melting
- Perturbative series and the moduli space of Riemann surfaces
- Alternating-sign matrices and domino tilings. I
- The shape of a typical boxed plane partition
- Step fluctuations for a faceted crystal
- Local statistics for random domino tilings of the Aztec diamond
- Non-intersecting paths, random tilings and random matrices
- Diamond ice.
- Limit shapes and the complex Burgers equation
- On the refined 3-enumeration of alternating sign matrices
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- Numerical study of the 6-vertex model with domain wall boundary conditions.
- The Limit Shape of Large Alternating Sign Matrices
- Square ice, alternating sign matrices, and classical orthogonal polynomials
- Determinant formula for the six-vertex model
- Boundary correlation functions of the six-vertex model
- Thermodynamic limit of the six-vertex model with domain wall boundary conditions
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Kazakov–Migdal model with logarithmic potential and the double Penner matrix model
- The role of orthogonal polynomials in the six-vertex model and its combinatorial applications
- Domino tilings and the six-vertex model at its free-fermion point
- The low-temperature expansion of the Wulff crystal in the 3D Ising model
