Improved Lower Bounds on the Ground-State Entropy of the Antiferromagnetic Potts Model

Abstract

We present generalized methods for calculating lower bounds on the ground-state entropy per site, $S_0$, or equivalently, the ground-state degeneracy per site, $W=e^{S_0/k_B}$, of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on $W$ for several lattices.

19 pages, 5 figures, 2 tables

References in corpus (2)

• Residual Entropy of Ordinary Ice from Multicanonical Simulations
• Exact Potts Model Partition Functions for Strips of the Honeycomb Lattice

Cited by in corpus (1)

• Study of Exponential Growth Constants of Directed Heteropolygonal Archimedean Lattices