Partition function zeros of a restricted Potts model on lattice strips and effects of boundary conditions

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We calculate exactly the partition function Z(G, Q, v) of the Q-state Potts model with temperature-like Boltzmann variable v for strip graphs G of the square and triangular lattices of various widths Ly and arbitrarily great lengths Lx, with a variety of boundary conditions, and with Q and v restricted to satisfy conditions corresponding to the ferromagnetic phase transition on the associated two-dimensional lattices. From these calculations, in the limit Lx → ∞, we determine the continuous accumulation loci of the partition function zeros in the v and Q planes. Strips of the honeycomb lattice are also considered. We discuss some general features of these loci.

Original languageEnglish
Article number002
Pages (from-to)10277-10295
Number of pages19
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number33
DOIs
Publication statusPublished - 2006 Aug 18

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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