Improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model

Shu Chiuan Chang; Robert Shrock

doi:10.1103/PhysRevE.91.052142

Improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model

Shu Chiuan Chang
, Robert Shrock

Institute for Theoretical Physics

National Cheng Kung University
Stony Brook University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present generalized methods for calculating lower bounds on the ground-state entropy per site, S0, or equivalently, the ground-state degeneracy per site, W=eS0/kB, of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on W for several lattices.

Original language	English
Article number	052142
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	91
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.91.052142
State	Published - May 26 2015

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abstract = "We present generalized methods for calculating lower bounds on the ground-state entropy per site, S0, or equivalently, the ground-state degeneracy per site, W=eS0/kB, of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on W for several lattices.",

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AB - We present generalized methods for calculating lower bounds on the ground-state entropy per site, S0, or equivalently, the ground-state degeneracy per site, W=eS0/kB, of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on W for several lattices.

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Improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model

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