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

TL;DR

This paper introduces generalized techniques to compute improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model across various lattices, enhancing understanding of its degeneracy.

Contribution

The paper develops new generalized methods for calculating lower bounds on ground-state entropy, providing more accurate estimates for different lattice structures.

Findings

Derived improved lower bounds for ground-state degeneracy W

Applied methods to multiple lattice types

Enhanced understanding of entropy in 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.