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Temperature dependence of third-sound velocity in the vicinity ofT c

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Abstract

We measure the temperature dependence of the velocity of third soundC 3 in the vicinity of the critical temperatureT c . It is found thatC 23 is well fitted by the experimental formulaC 3(T c )2[1+1/2(−Ct)1/2], wheret=(T−T c )/T c andC is a constant, equal to about 5.4. This (−t)1/2 cusp is consistent with the theory of the Kosterlitz-Thouless (KT) transition in two dimensions. The chemical potential μ0 for the vortex pair excitation is estimated as μ0=3.03k B T c with the aid of the static theory of the KT transition. The consistency between the experimentally obtained value of μ0 and the KT transition theory is discussed.

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Author notes

  1. Kimitoshi Kono

    Present address: Department of Physics, Hyogo University of Teacher Education, Yashiro, Hyogo, Japan

  2. Wataru Sasaki

    Present address: Department of Physics, Faculty of Science, Toho University, Funabashi, Chiba, Japan

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Tokyo, Japan

    Kimitoshi Kono, Shun-ichi Kobayashi & Wataru Sasaki

Authors
  1. Kimitoshi Kono
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  2. Shun-ichi Kobayashi
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  3. Wataru Sasaki
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Kono, K., Kobayashi, Si. & Sasaki, W. Temperature dependence of third-sound velocity in the vicinity ofT c . J Low Temp Phys 57, 319–330 (1984). https://doi.org/10.1007/BF00681196

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  • DOI: https://doi.org/10.1007/BF00681196

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