Blockspin Cluster Algorithms for Quantum Spin Systems

Physics – Condensed Matter

Scientific paper

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11 pages

Scientific paper

10.1016/0375-9601(92)90077-Y

Cluster algorithms are developed for simulating quantum spin systems like the one- and two-dimensional Heisenberg ferro- and anti-ferromagnets. The corresponding two- and three-dimensional classical spin models with four-spin couplings are maped to blockspin models with two-blockspin interactions. Clusters of blockspins are updated collectively. The efficiency of the method is investigated in detail for one-dimensional spin chains. Then in most cases the new algorithms solve the problems of slowing down from which standard algorithms are suffering.

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