Spin chain simulations with a meron cluster algorithm

Details Spin chain simulations with a meron cluster algorithm Spin chain simulations with a meron cluster algorithm

2007-01-15

arxiv.org/abs/cond-mat/0701331v3

Int.J.Mod.Phys.C18:1497-1511,2007

Physics

Condensed Matter

Statistical Mechanics

18 pages, 9 figures, published version

Scientific paper

10.1142/S0129183107011510

We apply a meron cluster algorithm to the XY spin chain, which describes a quantum rotor. This is a multi-cluster simulation supplemented by an improved estimator, which deals with objects of half-integer topological charge. This method is powerful enough to provide precise results for the model with a theta-term - it is therefore one of the rare examples, where a system with a complex action can be solved numerically. In particular we measure the correlation length, as well as the topological and magnetic susceptibility. We discuss the algorithmic efficiency in view of the critical slowing down. Due to the excellent performance that we observe, it is strongly motivated to work on new applications of meron cluster algorithms in higher dimensions.

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