Partition function zeros of a restricted Potts model on self-dual strips of the square lattice

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We calculate the partition function Z(G, Q, v) of the Q-state Potts model exactly for self-dual cyclic square-lattice strips of various widths L y and arbitrarily large lengths Lx, with Q and v restricted to satisfy the relation Q = v2. From these calculations, in the limit Lx → ∞, we determine the continuous accumulation locus Β of the partition function zeros in the v and Q planes. A number of interesting features of this locus are discussed and a conjecture is given for properties applicable to arbitrarily large width. Relations with the loci Β for general Q and v are analyzed.

Original languageEnglish
Pages (from-to)1755-1773
Number of pages19
JournalInternational Journal of Modern Physics B
Volume21
Issue number10
DOIs
Publication statusPublished - 2007 Apr 20

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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