Hall effect and geometric phases in Josephson junction arrays

Details Hall effect and geometric phases in Josephson junction arrays Hall effect and geometric phases in Josephson junction arrays

1996-08-20

arxiv.org/abs/cond-mat/9608090v1

Physics

Condensed Matter

Latex, 6 pages

Scientific paper

10.1007/BF02583602

Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this quantum regime due to the Thouless-Kohmoto-Nightingale-den-Nijs effect.

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