Upper and Lower Bounds for Ground State Entropy of Antiferromagnetic Potts Models

Details Upper and Lower Bounds for Ground State Entropy of Antiferromagnetic Potts Models Upper and Lower Bounds for Ground State Entropy of Antiferromagnetic Potts Models

1997-01-22

arxiv.org/abs/cond-mat/9701162v1

Phys. Rev. E55, 6791 (1997)

Physics

Condensed Matter

Statistical Mechanics

8 pages, latex, with two eps figures

Scientific paper

10.1103/PhysRevE.55.6791

We derive rigorous upper and lower bounds for the ground state entropy of the
$q$-state Potts antiferromagnet on the honeycomb and triangular lattices. These
bounds are quite restrictive, especially for large $q$.

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