A Cluster Method for the Ashkin--Teller Model

Details A Cluster Method for the Ashkin--Teller Model A Cluster Method for the Ashkin--Teller Model

1993-10-14

arxiv.org/abs/hep-lat/9310015v1

Phys.Rev.E48:4080-4090,1993

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, Revtex, figures included

Scientific paper

10.1103/PhysRevE.48.4080

A cluster Monte Carlo algorithm for the Ashkin-Teller (AT) model is constructed according to the guidelines of a general scheme for such algorithms. Its dynamical behaviour is tested for the square lattice AT model. We perform simulations on the line of critical points along which the exponents vary continuously, and find that critical slowing down is significantly reduced. We find continuous variation of the dynamical exponent $z$ along the line, following the variation of the ratio $\alpha/\nu$, in a manner which satisfies the Li-Sokal bound $z_{cluster}\geq\alpha/\nu$, that was so far proved only for Potts models.

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