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Acta Physica Sinica

A LOOP-CLUSTER UPATING MONTE CARLO STUDY FOR THE TWO-DIMENSIONAL QHAF ON THE HEXAGONAL LATTICES

Y. Heping, JI DA-REN, Zhigang Wang, 浙江近代物理中心,浙江大学物理系,杭州310027

Published Jan 1, 1995• 0 citations
Publisher

Abstract

A new type of cluster algorithm is developed to simulate the two-dimensional spin one half quantum Heisenberg antiferromagnet (QHAF) on a hexagonal lattice. The numerical results show that the method can be applied to study efficiently the QHAF systems at lowertemperatures, with large Trotter number, on the general bipartite lattices.
DOI
10.7498/aps.44.1839

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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 $\mathrm{exp}(\ensuremath{-}\ensuremath{\beta}H)$ (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.