The Entropy of Six-Vertex Model with Variety of Dierent Boundary Conditions

Masafumi Fujimoto

Pavel Bleher

А. А. Литвин, V. B. Priezzhev

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

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 fixed boundary conditions such that the entropy varies continuously from zero to its value for periodic boundary condition. 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.

Anatoli G. Izergin

Thiago Silva Tavares, G A P Ribeiro, V. E. Korepin

We study the influence of boundary conditions on the entropy of the six-vertex model. We consider the case of fixed boundary conditions in order to argue that the entropy of the six-vertex model vary continuously from its value for ferroelectric to periodic boundary conditions. This is done by merging the ferroelectric boundary and the Néel boundary.