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

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Abstract

We develop 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.

Original languageEnglish
Article number210602
JournalPhysical Review Letters
Volume101
Issue number21
DOIs
Publication statusPublished - 2008 Nov 20

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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