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Derivation of the transverse force on a moving vortex in a superfluid

  • Liquid Helium
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Czechoslovak Journal of Physics Aims and scope

Abstract

We describe an exact derivation of the total nondissipative transverse force acting on a quantized vortex moving in a uniform background. The derivation is valid for neutral boson or fermion superfluids, provided the order parameter is a complex scalar quantity. The force is determined by the one-particle density matrix far away from the vortex core, and is found to be the Magnus force proportional to the superfluid density.

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Authors and Affiliations

  1. Department of Physics, University of Washington, Box 351560, 98195, Seattle, WA, USA

    D. J. Thouless & P. Ao

  2. Department of Theoretical Physics, Umeå University, Umeå, Sweden

    P. Ao

  3. Department of Physics, University of Texas, 78712, Austin, TX, USA

    Q. Niu

Authors
  1. D. J. Thouless
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  2. P. Ao
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  3. Q. Niu
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Additional information

The work was supported by US NSF Grant No. DMR-9220733 and Swedish NFR(P.A.).

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Thouless, D.J., Ao, P. & Niu, Q. Derivation of the transverse force on a moving vortex in a superfluid. Czech J Phys 46 (Suppl 1), 27–28 (1996). https://doi.org/10.1007/BF02569429

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  • DOI: https://doi.org/10.1007/BF02569429

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