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Research PapersNo Access

ZEROS OF THE POTTS MODEL PARTITION FUNCTION IN THE LARGE-q LIMIT

SHU-CHIUAN CHANG

Department of Physics, National Cheng Kung University, Tainan 70101, ROC

Physics Division, National Center for Theoretical Science, National Taiwan University, Taipei 10617, ROC

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and

C. N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, NY 11794, USA

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https://doi.org/10.1142/S0217979207036849Cited by:4 (Source: Crossref)

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 G_Λ is a section of a lattice Λ with coordination number κ_Λ 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 x_Λ=v/q^2/κ_Λ. This generalizes a known result for the square lattice to the other lattices considered.

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Vol. 21, No. 07

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History

Received 16 October 2006

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