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The influence of a surface on Ising and conjugate model spin correlations atT=T c

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Zeitschrift für Physik B Condensed Matter

Abstract

We calculate rigorously the two-point correlation function in the 2-d Ising model on a quasi-cylindrical lattice at the critical temperatureT c .The scaling predictions for the surface critical exponents η⊥ = 5/8, η∥ = 1 are confirmed and the change from surface to bulk behavior is studied. By a correspondence relation the results are mapped to the conjugate model, a subcase of the 8-vertex model. We find in this model η⊥ = 5/4, η∥ = 2.

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Authors and Affiliations

  1. Physikalisches Institut der Universität, Universitätsstrasse 30, D-8580, Bayreuth, Federal Republic of Germany

    J. Kroemer & W. Pesch

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  1. J. Kroemer
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  2. W. Pesch
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Kroemer, J., Pesch, W. The influence of a surface on Ising and conjugate model spin correlations atT=T c . Z. Physik B - Condensed Matter 46, 245–250 (1982). https://doi.org/10.1007/BF01360301

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  • DOI: https://doi.org/10.1007/BF01360301

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