Zeros of the Potts model partition function on Sierpinski graphs

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We calculate zeros of the q-state Potts model partition function on mth-iterate Sierpinski graphs, Sm, in the variable q and in a temperature-like variable, y. We infer some conjectured asymptotic properties of the loci of zeros in the limit m→infin and relate these to thermodynamic properties of the q-state Potts ferromagnet and antiferromagnet on the Sierpinski gasket fractal, Sinfin.

Original languageEnglish
Pages (from-to)671-675
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume377
Issue number9
DOIs
Publication statusPublished - 2013 Mar 15

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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