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Hall effect and geometric phases in Josephson junction arrays

Ao, P. and Tan, Y. and Zhu, X.M. (1996) Hall effect and geometric phases in Josephson junction arrays. Czechoslovak Journal of Physics, 46 (2). pp. 589-590. ISSN 0011-4626

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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.