Low-temperature expansions for Potts models

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

Research output: Contribution to journalArticle

21 Citations (Scopus)

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
StatePublished - Jan 1 1993

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expansion
cubic lattices
series expansion
magnetic permeability
magnetization
energy

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
Bhanot, Gyan ; Creutz, Michael ; Glässner, Uwe ; Horvath, Ivan ; Lacki, Jan ; Schilling, Klaus ; Weckel, John. / Low-temperature expansions for Potts models. In: Physical Review B. 1993 ; Vol. 48, No. 9. pp. 6183-6191.
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Bhanot, G, Creutz, M, Glässner, U, Horvath, I, Lacki, J, Schilling, K & Weckel, J 1993, 'Low-temperature expansions for Potts models', Physical Review B, vol. 48, no. 9, pp. 6183-6191. https://doi.org/10.1103/PhysRevB.48.6183

Low-temperature expansions for Potts models. / Bhanot, Gyan; Creutz, Michael; Glässner, Uwe; Horvath, Ivan; Lacki, Jan; Schilling, Klaus; Weckel, John.

In: Physical Review B, Vol. 48, No. 9, 01.01.1993, p. 6183-6191.

Research output: Contribution to journalArticle

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Bhanot G, Creutz M, Glässner U, Horvath I, Lacki J, Schilling K et al. Low-temperature expansions for Potts models. Physical Review B. 1993 Jan 1;48(9):6183-6191. https://doi.org/10.1103/PhysRevB.48.6183