論文

査読有り
2020年2月

Berry phase from vortex dynamics in BCS superconductors revisited

Physica C: Superconductivity and its Applications
  • Akihiro Tanaka
  • ,
  • Masahiko Machida

313
1-2
開始ページ
141
終了ページ
147
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/S0921-4534(98)00715-1

Motivated by a recent series of papers by Ao et al., we reconsider the Berry phase produced by an adiabatic motion of a vortex in an s-wave BCS superconductor. Avoiding the use of the gradient expansion approach which may give rise to ambiguity in the presence of vortices, we make certain assumptions which enable us to extend the methods of Goff, Gaitan and Stone, originally used in the context of superfluid dynamics of 3He, to our vortex problem. Using the pseudo-spin representation of the BCS Hamiltonian, contributions to the Berry phase coming from each quasiparticle state constituting the ground state are added together to give a total phase proportional to n-C0, where n and C0 are the superconducting and normal electron densities, respectively. We consider this to be a clear counterexample to Ao's claim that the only possible hydrodynamic transverse force exerted on a vortex is a Magnus force proportional to n. Relations to the spectral-flow phenomenology of Volovik, and a brief discussion on possible extension to the cuprate superconductors, are suggested.

リンク情報
DOI
https://doi.org/10.1016/S0921-4534(98)00715-1
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0033075899&origin=inward
Scopus Citedby
https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0033075899&origin=inward

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