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Nonplanar two-dimensional ising model with short range two-spin interaction showing continuously variable critical exponents

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Zeitschrift für Physik B Condensed Matter

Abstract

The relation between a bond decorated Union Jack lattice with short range two-spin interactions and the sixteen- and eight-vertex model is pointed out. It is shown that a special case of that model maps to the spin equivalent of Baxter's model. Thus we have an example where the critical exponents depend continuously on the values of the coupling constants in contrast to “naive” universality so far assumed to be valid for such a model. This rigorously proves that “naive” universality is not necessarily valid for 2d Ising models with short range two-spin interactions whereas a weaker form of universality due to Suzuki seems to hold.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg 1, Germany

    K. Jüngling

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  1. K. Jüngling
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Jüngling, K. Nonplanar two-dimensional ising model with short range two-spin interaction showing continuously variable critical exponents. Z Physik B 24, 391–395 (1976). https://doi.org/10.1007/BF01351531

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  • DOI: https://doi.org/10.1007/BF01351531

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