Ground State Entropy and the $q=3$ Potts Antiferromagnet on the Honeycomb Lattice

Physics – Condensed Matter

Scientific paper

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9 pages, latex, with two eps figures

Scientific paper

10.1088/0305-4470/30/2/015

We study the $q$-state Potts antiferromagnet with $q=3$ on the honeycomb
lattice. Using an analytic argument together with a Monte Carlo simulation, we
conclude that this model is disordered for all $T \ge 0$. We also calculate the
ground state entropy to be $S_0/k_B = 0.507(10)$ and discuss this result.

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