Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on

13 November 1998

journal article
Published by IOP Publishing in Journal of Physics A: General Physics

Vol. 31 (45) , 9055-9063
https://doi.org/10.1088/0305-4470/31/45/005

Abstract

For a region of the nearest-neighbour ferromagnetic Ashkin-Teller spin systems on , we characterize the existence of multiple Gibbs states via percolation. In particular, there are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e. the magnetized states are characterized by percolation of the dominant species). This result was previously known only for the Potts models on .

Keywords

POTTS MODEL

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