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Surface and corner magnetizations in the two-dimensional Ising model

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Abstract

We study the anisotropic Ising model on a square lattice with free boundary conditions. A simple explicit result is obtained for the surface magnetization of a system which is inhomogeneous near the surface. The corner magnetization is investigated for a 90° corner in a homogeneous anisotropic system. From the numerical results an analytical formula is found.

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Authors and Affiliations

  1. Fachbereich Physik, Freie Universität Berlin, D-1000, Berlin 33, West Germany

    Christian Kaiser & Ingo Peschel

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  1. Christian Kaiser
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  2. Ingo Peschel
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Kaiser, C., Peschel, I. Surface and corner magnetizations in the two-dimensional Ising model. J Stat Phys 54, 567–579 (1989). https://doi.org/10.1007/BF01019769

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  • DOI: https://doi.org/10.1007/BF01019769

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