The entropy of the six-vertex model with variety of different boundary conditions

T. S. Tavares, G. A. P. Ribeiro, V. E. Korepin

Published 2015-01-12Version 1

We study the dependence of entropy [per lattice site] of six-vertex model on boundary conditions. We start with lattices of finite size and then proceed to thermodynamic limit. We argue that the six-vertex model with periodic, anti-periodic and mixed boundary conditions produce the same free-energy in the thermodynamic limit. We have found boundary conditions for which entropy coincide with the periodic or domain wall boundary conditions. For other boundary conditions, we show that the entropy assumes different values. We have also shown that the physical quantities of the six-vertex model at the isotropic point does not change in the case of singular toroidal boundary.