Computing Masses and Surface Tension from Effective Transfer Matrices

TL;DR

This paper introduces an effective transfer-matrix approach combined with an optimized multimagnetical algorithm to accurately measure large tunnelling correlation lengths and determine the interface tension in the 3D Ising model near criticality.

Contribution

It presents a novel transfer-matrix method and an efficient implementation of the multimagnetical algorithm for precise interface tension measurements.

Findings

Measured interface tension with less than 1% error

Achieved large tunnelling correlation length measurements

Enhanced accuracy near criticality

Abstract

We propose an effective transfer-matrix method that allows a measurement of tunnelling correlation lengths that are orders of magnitude larger than the lattice extension. Combining this method with a particularly efficient implementation of the multimagnetical algorithm we were able to determine the interface tension of the 3D Ising model close to criticality with a relative error of less than 1 per cent.