Thermodynamic limit of the six-vertex model with reflecting end

Abstract

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We evaluated the partition function explicitly in special cases. We calculated the homogeneous limit of the Tsuchiya determinant formula for the partition function. We evaluated the thermodynamic limit and obtain the free energy of the six-vertex model with reflecting end. We determined the free energy in the disordered regime.

arXiv comment19 pages, 5 pictures, references added

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• Phase separation in the six-vertex model with a variety of boundary conditions
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Integral formula for elliptic SOS models with domain walls and a reflecting end
• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
• Dual wavefunction of the symplectic ice
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions