Numerical Investigation of the Interface Tension in the three-dimensional Ising Model

TL;DR

This paper uses Monte Carlo simulations to study the interface tension in the 3D Ising model at low temperatures, comparing results with theoretical predictions from renormalized phi^4 theory.

Contribution

It provides a numerical investigation of interface tension in the 3D Ising model and validates semiclassical predictions through Monte Carlo methods.

Findings

Results agree well with semiclassical predictions

Interface tension measured at three different temperatures

Monte Carlo method effectively captures interface properties

Abstract

The interface tension in the three-dimensional Ising model in the low temperature phase is investigated by means of the Monte Carlo method. Together with other physically relevant quantities it is obtained from a calculation of time-slice correlation functions in a cylindrical geometry. The results at three different values of the temperature are compared with the predictions from a semiclassical approximation in the framework of renormalized $\phi^4$ theory in three dimensions, and are in good agreement with them.