Low-temperature expansions for Potts models

Gyan Bhanot, Michael Creutz, Uwe Glässner, Ivan Horvath, Jan Lacki, Klaus Schilling, John Weckel

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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 Padé analysis and inhomogeneous differential approximants.

Original languageEnglish (US)
Pages (from-to)6183-6191
Number of pages9
JournalPhysical Review B
Volume48
Issue number9
DOIs
Publication statusPublished - Jan 1 1993
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Bhanot, G., Creutz, M., Glässner, U., Horvath, I., Lacki, J., Schilling, K., & Weckel, J. (1993). Low-temperature expansions for Potts models. Physical Review B, 48(9), 6183-6191. https://doi.org/10.1103/PhysRevB.48.6183