96-63 Jes\'us Salas and Alan D. Sokal
Absence of Phase Transition for Antiferromagnetic Potts Models via the Dobrushin Uniqueness Theorem. (396K, PostScript file) Mar 8, 96
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Abstract. We prove that the \$q\$-state Potts antiferromagnet on a lattice of maximum coordination number \$r\$ exhibits exponential decay of correlations uniformly at all temperatures (including zero temperature) whenever \$q > 2r\$. We also prove slightly better bounds for several two-dimensional lattices: square lattice (exponential decay for \$q \ge 7\$), triangular lattice (\$q \ge 11\$), hexagonal lattice (\$q \ge 4\$), and Kagom\'e lattice (\$q \ge 6\$). The proofs are based on the Dobrushin uniqueness theorem.

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