Below is the ascii version of the abstract for 03-544.
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E. Dinaburg, C. Maes, S. Pirogov, F. Redig and A. Rybko
The Potts model built on sand
ABSTRACT. 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
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.