Absence of Phase
نویسنده
چکیده
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 7), triangular lattice (q 11), hexagonal lattice (q 4), and Kagom e lattice (q 6). The proofs are based on the Dobrushin uniqueness theorem.
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تاریخ انتشار 1997