Monte Carlo Calculation of the Spin-Stiffness of the Two-Dimensional Heisenberg Model

TL;DR

This paper employs a collective-mode Monte Carlo method to compute the spin-stiffness of the 2D classical Heisenberg model, revealing its importance in understanding low-temperature behavior beyond traditional correlation measures.

Contribution

It introduces the Wolff-Swendsen-Wang algorithm for calculating spin-stiffness, highlighting its relevance in low-temperature analysis of the model.

Findings

Spin-stiffness is crucial for low-temperature behavior analysis.

The Monte Carlo method effectively computes physical quantities inaccessible to previous methods.

Abstract

Using a collective-mode Monte Carlo method (the Wolff-Swendsen-Wang algorithm), we compute the spin-stiffness of the two-dimensional classical Heisenberg model. We show that it is the relevant physical quantity to investigate the behaviour of the model in the very low temperature range inaccessible to previous studies based on correlation length and susceptibility calculations.