arXiv:cond-mat/9608095·v1·cond-mat

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

Robert Shrock · Shan-Ho Tsai

Abstract

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 $T \geq 0$ . We also calculate the ground state entropy to be $S_{0} / k_{B} = 0.507 (10)$ and discuss this result.

Comments: 9 pages, latex, with two eps figures

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

Abstract

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