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Influence of quenched dilution on the quasi-long-range ordered phase of the \(\mathsf{2d}\) \(\mathsf{XY}\) model

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Abstract.

The influence of non magnetic impurities in the 2d XY model is investigated through Monte Carlo (MC) simulations. The general picture of the transition is fully understood from the Harris criterion which predicts that the universality class is unchanged, and the Berezinskii-Kosterlitz-Thouless description of the topological transition remains valid. We nevertheless address here the question about the influence of dilution on the quasi-long-range order at low temperatures. In particular, we study the asymptotic of the pair correlation function and report the MC estimates for the critical exponent \(\eta\) at different dilutions. In the weak dilution region, our MC calculations are further supported by simple spin-wave-like calculations.

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Authors and Affiliations

  1. Laboratoire de Physique des Matériaux, Université Henri Poincaré, Nancy 1 , 54506, Vandœuvre les Nancy Cedex, France

    B. Berche & A. I. Fariñas-Sánchez

  2. Centro de Física, Instituto Venezolano de Investigaciones Científicas, Apartado 21827, 1020A, Caracas, Venezuela

    A. I. Fariñas-Sánchez & R. Paredes V.

  3. Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011, Lviv, Ukraine

    Yu. Holovatch

  4. Ivan Franko National University of Lviv, 12 Drahomanov Str., 79005, Lviv, Ukraine

    Yu. Holovatch

Authors
  1. B. Berche
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  2. A. I. Fariñas-Sánchez
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  3. Yu. Holovatch
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  4. R. Paredes V.
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Corresponding author

Correspondence to B. Berche.

Additional information

Received: 9 September 2003, Published online: 28 October 2003

PACS:

05.50. + q Lattice theory and statistics (Ising, Potts, etc.) - 64.60.Fr Equilibrium properties near critical points, critical exponents - 75.10.Hk Classical spin models

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Berche, B., Fariñas-Sánchez, A.I., Holovatch, Y. et al. Influence of quenched dilution on the quasi-long-range ordered phase of the \(\mathsf{2d}\) \(\mathsf{XY}\) model. Eur. Phys. J. B 36, 91–98 (2003). https://doi.org/10.1140/epjb/e2003-00310-5

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  • DOI: https://doi.org/10.1140/epjb/e2003-00310-5

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