Internal energy of the Potts model on the triangular lattice with two- and three-body interactions

Masayuki Ohzeki, Hidetoshi Nishimori

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1 Citation (Scopus)

Abstract

We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupling constants. The method is a duality transformation. Therefore we have to make assumptions on uniqueness of the transition point and that the transition is of second order. These assumptions have been verified to hold by numerical simulations for q = 2, 3, and 4, and our results for the internal energy are expected to be exact in these cases.

Original languageEnglish
Article number114003
Journaljournal of the physical society of japan
Volume75
Issue number11
DOIs
Publication statusPublished - 2006 Nov

Keywords

  • Duality transformation
  • Exact energy
  • Potts model
  • Transition point
  • Triangular lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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