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The asymmetric six-vertex model

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Abstract

The exact solution of the asymmetric six-vertex model, published nearly without derivation by Sutherlandet al. in 1967, is rederived in detail. The transfer matrix method and the Bethe Ansatz solution for the free energy (which can be calculated from an integral equation) are discussed. For some special cases (zero or maximal polarization) the integral equation can be solved exactly. In addition, an asymptotic analysis, valid for small but nonzero polarization, is carried out. The analytical properties of the results and their relevance for the BCSOS model are discussed.

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Author notes

  1. I. M. Nolden

    Present address: Department of Chemistry, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts

Authors and Affiliations

  1. Institute for Theoretical Physics, Princetonplein 5, 3508, TA Utrecht, The Netherlands

    I. M. Nolden

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  1. I. M. Nolden
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Nolden, I.M. The asymmetric six-vertex model. J Stat Phys 67, 155–201 (1992). https://doi.org/10.1007/BF01049030

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  • DOI: https://doi.org/10.1007/BF01049030

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