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Journal of Statistical Physics

, Volume 61, Issue 3–4, pp 909–911 | Cite as

Comments on “power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas”

  • Domingos H. U. Marchetti
Short Communications

Abstract

A simple argument is presented by which one can show that the critical inverse temperatureβ c of a two-dimensional Coulomb gas (standard or hard-core) with activityz satisfies\(\beta _c \leqslant \mathop \beta \limits^ - \), where\(\mathop \beta \limits^ - = \mathop \beta \limits^ - (z) \to (1 + \sqrt 3 ) 8\pi /(3 - \sqrt 3 )\) in the low-activity limit. Previous results yield\(\mathop \beta \limits^ - (z) \to 24\pi \).

Key words

Coulomb gas Kosterlitz-Thouless phase power-law falloff critical temperature multiscale analysis 

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References

  1. 1.
    D. H. U. Marchetti, A. Klein, and J. F. Perez,J. Stat. Phys. 60:137 (1990).Google Scholar
  2. 2.
    T. Spencer, Private communication.Google Scholar
  3. 3.
    J. Frohlich and T. Spencer,Commun. Math. Phys. 81:525 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Domingos H. U. Marchetti
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew Brunswick

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