Corner contribution to cluster numbers in the Potts model

István A. Kovács, Eren Metin Elçi, Martin Weigel, Ferenc Iglói

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

For the two-dimensional Q-state Potts model at criticality, we consider Fortuin-Kasteleyn and spin clusters and study the average number NΓ of clusters that intersect a given contour Γ. To leading order, NΓ is proportional to the length of the curve. Additionally, however, there occur logarithmic contributions related to the corners of Γ. These are found to be universal and their size can be calculated employing techniques from conformal field theory. For the Fortuin-Kasteleyn clusters relevant to the thermal phase transition, we find agreement with these predictions from large-scale numerical simulations. For the spin clusters, on the other hand, the cluster numbers are not found to be consistent with the values obtained by analytic continuation, as conventionally assumed.

Original languageEnglish
Article number064421
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume89
Issue number6
DOIs
Publication statusPublished - Feb 24 2014

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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