Phys. Rev. Lett. 76, 3758–3761 (1996)

Transverse Force on a Quantized Vortex in a Superfluid

Abstract

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D. J. Thouless¹, Ping Ao^1,2, 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

Received 31 October 1995; published in the issue dated 13 May 1996

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.76.3758

DOI:

10.1103/PhysRevLett.76.3758

PACS:

67.40.Vs, 47.37.+q

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Phys. Rev. Lett. 76, 3758–3761 (1996)

Transverse Force on a Quantized Vortex in a Superfluid

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