Singularities and Scaling Functions at the Potts-Model Multicritical Point

M. Nauenberg and D. J. Scalapino
Phys. Rev. Lett. 44, 837 – Published 31 March 1980
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Abstract

Differential renormalization equation for the q-state Potts model are proposed, and the critical behavior of the model near q=qc discussed. The equations give rise to critical and tricritical fixed points which merge at q=qc when a dilution field becomes marginal, to an essential singularity in the latent heat as a function of q=qc, in accordance with the exact result of Baxter, and, for q=qc, to a logarithm correction to the power-law behavior of the free energy as a function of TTc.

  • Received 27 November 1979

DOI:https://doi.org/10.1103/PhysRevLett.44.837

©1980 American Physical Society

Authors & Affiliations

M. Nauenberg* and D. J. Scalapino

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

  • *Permanent address: Board of Studies in Physics, Division of Natural Sciences, University of California, Santa Cruz, Cal. 95060.

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Vol. 44, Iss. 13 — 31 March 1980

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