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

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

2008-09-17

arxiv.org/abs/0809.2969v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.210602

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.

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