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Critical behavior of weakly-disordered anisotropic systems in two dimensions

  • G. Jug
  • B. N. Shalaev
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 477)

Abstract

The critical behaviour of two-dimensional (2D) anisotropic systems with weak quenched disorder described by an Ising model (IM) with random bonds, the N-colour Ashkin-Teller model (ATM) and some of its generalizations is studied. In the critical region, these models are shown to be described by a multifermion field theory similar to the Gross-Neveu model with a few independent quartic coupling constants. Renormalization group calculations are used to obtain the temperature dependence near the critical point of some thermodynamic quantities and the large distance behaviour of the two-spin correlation function. The equation of state at criticality is also obtained within this framework. We find that the random models under consideration belong to the same universality class as that of the two-dimensional IM. The critical behaviour of the 3- and 4-state random-bond Potts models is also briefly discussed.

PACS numbers

05.50.+q 05.70.Jk 75.10.Hk 75.40.Cx 

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • G. Jug
    • 1
    • 2
  • B. N. Shalaev
    • 3
  1. 1.INFM-Istituto di Scienze Matematiche, Fisiche e ChimicheUniversità di Milano a ComoComoItaly
  2. 2.INFN-Sezione di PaviaPaviaItaly
  3. 3.A.F. Ioffe Physical & Technical InstituteRussian Academy of SciencesSt. PetersburgRussia

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