The Potts model built on sand

Details The Potts model built on sand The Potts model built on sand

2003-12-15

arxiv.org/abs/cond-mat/0312363v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1023/B:JOSS.0000044067.96085.

We consider the q=4 Potts model on the square lattice with an additional hard-core nonlocal interaction. That interaction arises from the choice of the reference measure taken to be the uniform measure on the recurrent configurations for the abelian sandpile model. In that reference measure some correlation functions have a power-law decay. We investigate the low-temperature phase diagram and we prove the existence of a single stable phase with exponential decay of correlations. For all boundary conditions the density of 4 in the infinite volume limit goes to one as the temperature tends to zero.

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