Transverse Force on a Quantized Vortex in a Superfluid

D. J. Thouless, Ping Ao, and Qian Niu
Phys. Rev. Lett. 76, 3758 – Published 13 May 1996
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Abstract

We have derived an exact expression for 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. This 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. We conclude that contributions of the localized core states do not change this force.

  • Received 31 October 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.3758

©1996 American Physical Society

Authors & Affiliations

D. J. Thouless1, Ping Ao1,2, and Qian Niu3

  • 1Department of Physics, University of Washington, Box 351560, Seattle, Washington 98195
  • 2Department of Theoretical Physics, Umeå University, Umeå, Sweden
  • 3Department of Physics, University of Texas, Austin, Texas 78712

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Vol. 76, Iss. 20 — 13 May 1996

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