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From Quantum Mechanics to Technology pp 255–267Cite as

Critical behavior of weakly-disordered anisotropic systems in two dimensions

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Part of the book series: Lecture Notes in Physics ((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.

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Authors and Affiliations

  1. INFM-Istituto di Scienze Matematiche, Fisiche e Chimiche, Università di Milano a Como, Via Lucini 3, 22100, Como, Italy

    G. Jug

  2. INFN-Sezione di Pavia, 27100, Pavia, Italy

    G. Jug

  3. A.F. Ioffe Physical & Technical Institute, Russian Academy of Sciences, 194021, St. Petersburg, Russia

    B. N. Shalaev

Authors
  1. G. Jug
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  2. B. N. Shalaev
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Zygmunt Petru Jerzy Przystawa Krzysztof Rapcewicz

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© 1996 Springer-Verlag

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Jug, G., Shalaev, B.N. (1996). Critical behavior of weakly-disordered anisotropic systems in two dimensions. In: Petru, Z., Przystawa, J., Rapcewicz, K. (eds) From Quantum Mechanics to Technology. Lecture Notes in Physics, vol 477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106027

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  • DOI: https://doi.org/10.1007/BFb0106027

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  • Print ISBN: 978-3-540-61792-1

  • Online ISBN: 978-3-540-70724-0

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