Magnus Force in Discrete and Continuous Two-Dimensional Superfluids

Details Magnus Force in Discrete and Continuous Two-Dimensional Superfluids Magnus Force in Discrete and Continuous Two-Dimensional Superfluids

2005-03-30

arxiv.org/abs/cond-mat/0503717v2

Phys. Rev. B 72, 054525 (2005)

Physics

Condensed Matter

Superconductivity

6 pages, 7 figures; published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.72.054525

Motion of vortices in two-dimensional superfluids in the classical limit is studied by solving the Gross-Pitaevskii equation numerically on a uniform lattice. We find that, in the presence of a superflow directed along one of the main lattice periods, vortices move with the superflow on fine lattices but perpendicular to it on coarse ones. We interpret this result as a transition from the full Magnus force in the Galilean-invariant limit to vanishing effective Magnus force in a discrete system, in agreement with the existing experiments on vortex motion in Josephson junction arrays.

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