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Yang-Lee edge singularity on fractals

M. Knežević and B. W. Southern
Phys. Rev. B 34, 4966(R) – Published 1 October 1986
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Abstract

Exact results are presented for the density of zeros of the partition function for Ising models on fractal lattices. For nearest-neighbor ferromagnetic interactions, the zeros lie on the unit circle in the complex activity plane but leave the circle at high temperatures when four spin interactions are included. The density of zeros exhibits a scaling form near the edge, and the value of the edge exponent σ is found to be independent of T for all T>0.

  • Received 2 June 1986

DOI:https://doi.org/10.1103/PhysRevB.34.4966

©1986 American Physical Society

Authors & Affiliations

M. Knežević*

  • Groupe de Physique des Solides, Ecole Normale Supérieure, 24, rue Lhomond, 75231 Paris Cedex 05, France

B. W. Southern

  • Service de Physique Théorique, Centre d'Etudes Nucleaires de Saclay, 91191 Gif-sur-Yvette Cedex, France

  • *Permanent address: Faculty of Natural and Mathematical Sciences, Department of Physics and Meteorology, 11001 Beograd, P.O. Box 550, Yugoslavia.
  • Permanent address: Department of Physics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2.

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Issue

Vol. 34, Iss. 7 — 1 October 1986

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