Efficient Monte Carlo algorithm in quasi-one-dimensional Ising spin systems

TL;DR

This paper introduces an efficient Monte Carlo algorithm tailored for quasi-one-dimensional Ising spin systems, significantly reducing simulation time and improving accuracy in determining phase transition properties.

Contribution

The paper adapts the quantum Monte Carlo loop algorithm to classical anisotropic Ising models, enhancing computational efficiency and accuracy in analyzing layered magnetic systems.

Findings

Correlation time and CPU time are drastically reduced.

The relation between transition temperature and exchange interactions is refined.

The algorithm effectively models layered triangular-lattice antiferromagnetic Ising systems.

Abstract

We have developed an efficient Monte Carlo algorithm, which accelerates slow Monte Carlo dynamics in quasi-one-dimensional Ising spin systems. The loop algorithm of the quantum Monte Carlo method is applied to the classical spin models with highly anisotropic exchange interactions. Both correlation time and real CPU time are reduced drastically. The algorithm is demonstrated in the layered triangular-lattice antiferromagnetic Ising model. We have obtained the relation between the transition temperature and the exchange interaction parameters, which modifies the result of the chain-mean-field theory.