Domain wall fluctuations of the six-vertex model at the ice point

Abstract

We report on Monte-Carlo simulations of the six-vertex model with domain wall boundary conditions. In thermal equilibrium such boundary conditions force a fluctuating line separating the disordered region from the perfectly ordered ones. Specifically we study the ice point at which all vertex weights are equal. With high precision the one-point fluctuations of the line are confirmed to be of order and governed by the Tracy–Widom distribution. Furthermore, the non-universal scaling coefficients are computed for a wide range of interaction strengths.