Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

Robert Shrock; Yan Xu

doi:10.1103/PhysRevE.83.041109

Ground state entropy of the Potts antiferromagnet on homeomorphic expansions of kagomé lattice strips

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Apr;83(4 Pt 1):041109. doi: 10.1103/PhysRevE.83.041109. Epub 2011 Apr 12.

Authors

Robert Shrock¹, Yan Xu

Affiliation

¹ C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.

PMID: 21599117
DOI: 10.1103/PhysRevE.83.041109

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 kagomé lattice. The dependence of the ground state entropy on the form of homeomorphic expansion is elucidated.