Stochastic series expansion method with operator-loop update

Details Stochastic series expansion method with operator-loop update Stochastic series expansion method with operator-loop update

1999-02-16

arxiv.org/abs/cond-mat/9902226v1

Phys.Rev. B59 (1999) 14157

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.59.R14157

A cluster update (the ``operator-loop'') is developed within the framework of a numerically exact quantum Monte Carlo method based on the power series expansion of exp(-BH) (stochastic series expansion). The method is generally applicable to a wide class of lattice Hamiltonians for which the expansion is positive definite. For some important models the operator-loop algorithm is more efficient than loop updates previously developed for ``worldline'' simulations. The method is here tested on a two-dimensional anisotropic Heisenberg antiferromagnet in a magnetic field.

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