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Low-temperature expansions for Potts models

1993/01/25 by Gyan Bhanot, G. Bhanot, M. Creutz +10 · 2 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevb.48.6183

(17 pages + 8 figures)

arxiv created 1993/01/25 · openalex publication_date 1993/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

On simple-cubic lattices, we compute low-temperature series expansions for the energy, magnetization, and susceptibility of the three-state Potts model in D=2 and D=3 to 45 and 39 excited bonds, respectively, and the eight-state Potts model in D=2 to 25 excited bonds. We use a recursive procedure that enumerates states explicitly. We analyze the series with Dlog Pad'e analysis and inhomogeneous differential approximants.

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