Zeros of the Potts model partition function in the large-q limit

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We calculate zeros of the q-state Potts model partition function Z(G Λ, q; v) for large q, where v is the temperature variable and GΛ is a section of a lattice Λ with coordination number kΛ and various boundary conditions. Lattice types studied include square, triangular, honeycomb, and kagomé. We show that for large q these zeros take on approximately circular patterns in the complex x Λ plane, where xΛ = v/q 2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.

Original languageEnglish
Pages (from-to)979-994
Number of pages16
JournalInternational Journal of Modern Physics B
Volume21
Issue number7
DOIs
Publication statusPublished - 2007 Mar 20

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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