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.

19 pages, 5 pictures, references added

References in corpus (2)

• Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases
• Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions

Cited by in corpus (2)

• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models
• Breakdown of the thermodynamic limit in quantum spin and dimer models