Blockspin Cluster Algorithms for Quantum Spin Systems

Details Blockspin Cluster Algorithms for Quantum Spin Systems Blockspin Cluster Algorithms for Quantum Spin Systems

1992-04-28

arxiv.org/abs/hep-lat/9204015v1

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages

Scientific paper

10.1016/0920-5632(93)90209-O

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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