Ground State Entropy of the Potts Antiferromagnet on Homeomorphic Expansions of Kagome Lattice Strips

TL;DR

This paper provides exact calculations of the chromatic polynomial and ground state entropy for the Potts antiferromagnet on kagome lattice strips with homeomorphic expansions, revealing how the entropy depends on the expansion form.

Contribution

It introduces exact methods for analyzing the Potts antiferromagnet on expanded kagome lattice strips, highlighting the impact of homeomorphic modifications.

Findings

Ground state entropy varies with homeomorphic expansion form

Exact chromatic polynomial calculations for specific lattice strips

Insights into the relationship between lattice structure and entropy

Abstract

We present exact calculations of the chromatic polynomial and resultant ground state entropy of the $q$-state Potts antiferromagnet on lattice strips that are homeomorphic expansions of a strip of the kagome lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.