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Finite-size Berezinskii-Kosterlitz-Thouless transition at grain boundaries in solid 4He and the role of 3He impurities

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2008

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Gaudio, Sergio
Cappelluti, Emmanuele
Pietronero, Luciano

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https://doi.org/10.1103/PhysRevLett.101.075301
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http://arxiv.org/abs/0806.1114v2

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Physical review letters. 2008, 101(7), 075301. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.101.075301

Zusammenfassung

We analyze the complex phenomenology of the nonclassical rotational inertia (NCRI) observed at low temperature in solid 4He within the context of a two-dimensional Berezinskii-Kosterlitz-Thouless transition in a premelted 4He film at the grain boundaries. We show that both the temperature and 3He doping dependence of the NCRI fraction (NCRIF) can be ascribed to finite size effects induced by the finite grain size. We give an estimate of the average size of the grains which we argue to be limited by the isotopic 3He impurities and we provide a simple power-law relation between the NCRIF and the 3He concentration.

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ISO 690GAUDIO, Sergio, Emmanuele CAPPELLUTI, Gianluca RASTELLI, Luciano PIETRONERO, 2008. Finite-size Berezinskii-Kosterlitz-Thouless transition at grain boundaries in solid 4He and the role of 3He impurities. In: Physical review letters. 2008, 101(7), 075301. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.101.075301
BibTex
@article{Gaudio2008-08-15Finit-46920,
  year={2008},
  doi={10.1103/PhysRevLett.101.075301},
  title={Finite-size Berezinskii-Kosterlitz-Thouless transition at grain boundaries in solid <sup>4</sup>He and the role of <sup>3</sup>He impurities},
  number={7},
  volume={101},
  issn={0031-9007},
  journal={Physical review letters},
  author={Gaudio, Sergio and Cappelluti, Emmanuele and Rastelli, Gianluca and Pietronero, Luciano},
  note={Article Number: 075301}
}
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    <dcterms:abstract xml:lang="eng">We analyze the complex phenomenology of the nonclassical rotational inertia (NCRI) observed at low temperature in solid &lt;sup&gt;4&lt;/sup&gt;He within the context of a two-dimensional Berezinskii-Kosterlitz-Thouless transition in a premelted &lt;sup&gt;4&lt;/sup&gt;He film at the grain boundaries. We show that both the temperature and &lt;sup&gt;3&lt;/sup&gt;He doping dependence of the NCRI fraction (NCRIF) can be ascribed to finite size effects induced by the finite grain size. We give an estimate of the average size of the grains which we argue to be limited by the isotopic &lt;sup&gt;3&lt;/sup&gt;He impurities and we provide a simple power-law relation between the NCRIF and the &lt;sup&gt;3&lt;/sup&gt;He concentration.</dcterms:abstract>
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