Interplay of topological and structural defects in the two-dimensional XY model |
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Authors: | O Kapikranian B Berche |
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Institution: | a Laboratoire de Physique des Matériaux, UMR CNRS 7556, Université Henri Poincaré, Nancy 1, B.P. 239, F-54506 Vandœuvre les Nancy Cedex, France b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, UA-79011 Lviv, Ukraine c Institut für Theoretische Physik, Johannes Kepler Universität Linz, A-4040 Linz, Austria |
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Abstract: | We analyze an effect of quenched non-magnetic impurities on properties of the two-dimensional XY model. In particular, we are interested in the interaction between the impurities and topological defects governing the Berezinskii-Kosterlitz-Thouless transition. We make use of two different analytical approaches: the phenomenological theory of topological defects and the Villain model. As a practical illustration of the obtained results a rough estimation of the transition temperature as a function of the concentration of dilution is made and compared to the available Monte Carlo data. |
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Keywords: | 05 50 +q 75 10 |
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