Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems

Details Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems

2002-05-23

arxiv.org/abs/cond-mat/0205472v3

PHYSICAL REVIEW E 66, 056705 (2002)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 7 figures, insert a word "squared" in the first line of the caption of Fig.7 and correct the label of vertical axis

Scientific paper

10.1103/PhysRevE.66.056705

Recently, Syljuasen and Sandvik proposed a new framework for constructing algorithms of quantum Monte Carlo simulation. While it includes new classes of powerful algorithms, it is not straightforward to find an efficient algorithm for a given model. Based on their framework, we propose an algorithm that is a natural extension of the conventional loop algorithm with the split-spin representation. A complete table of the vertex density and the worm-scattering probability is presented for the general XXZ model of an arbitrary S with a uniform magnetic field.

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