Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
arXiv:1908.05773 · doi:10.1088/1742-5468/ab4bbf
Abstract
We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve is a semicircle, which is in agreement with previous Monte Carlo simulations.
arXiv comment30 pages, 8 figures
References in corpus (26)
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
- Thermodynamic limit of the Six-Vertex Model with Domain Wall Boundary Conditions
- Inhomogeneous field theory inside the arctic circle
- Six-Vertex Model with Domain Wall Boundary Conditions and One-Matrix Model
- Determinant formula for the six-vertex model with reflecting end
- Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
- The arctic curve of the domain-wall six-vertex model
- Boundary correlation functions of the six-vertex model
- Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions. Disordered Phase
- Arctic curves of the six-vertex model on generic domains: the Tangent Method
- Directed-loop Monte Carlo simulations of vertex models
- Emptiness formation probability in the domain-wall six-vertex model
- The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime
- Partial domain wall partition functions
- Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases
- Exact solution of the six-vertex model with domain wall boundary conditions. Antiferroelectric phase
- Artificial spin ice and vertex models
- On the partition function of the six-vertex model with domain wall boundary conditions
- Arctic curve of the free-fermion six-vertex model in an L-shaped domain
- Reflection algebra and functional equations
- Phase separation in the six-vertex model with a variety of boundary conditions
- Influence of boundary conditions on bulk properties of six-vertex model
- Six-vertex model with partial domain wall boundary conditions: ferroelectric phase
- The Arctic curve for Aztec rectangles with defects via the Tangent Method
- The entropy of the six-vertex model with variety of different boundary conditions