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Boundary critical behaviour of two-dimensional random Potts models

  • G. Palágyi
  • C. Chatelain
  • B. Berche
  • F. Iglói

Abstract:

Using extensive Monte Carlo simulations, transfer matrix techniques and conformal invariance, ferromagnetic random q-state Potts models for \(\) are studied in the vicinity of the critical temperature. In particular the surface and bulk magnetization exponents \(\) and \(\) are found monotonically increasing with q. At the critical temperature, different moments (n) of the magnetization profiles are calculated which are all found to accurately follow predictions of conformal invariance. The critical correlation functions show multifractal behaviour, the decay exponents of the different moments both in the volume and at the surface, are n-dependent.

PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 64.60.Fr Equilibrium properties near critical points, critical exponents - 75.10.Hk Classical spin models 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • G. Palágyi
    • 1
  • C. Chatelain
    • 2
  • B. Berche
    • 2
  • F. Iglói
    • 3
  1. 1.Department of Physics, University of Veszprém, 8201 Veszprém, HungaryHU
  2. 2.Laboratoire de Physique des Matériaux (UMR 7556 du CNRS), Université Henri Poincaré, Nancy 1, 54506 Vandoeuvre les Nancy Cedex, FranceFR
  3. 3.Research Institute for Solid State Physics and Optics, 1525 Budapest, P.O.Box 49, HungaryHU

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