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Effects of Geometric Phases in Josephson Junction Arrays

X. -M. Zhu·Yong Tan·P. Ao
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Abstract

We show that the en route vortex velocity dependent part of the Magnus force in a Josephson junction array is effectively zero, and predict zero Hall effect in the classical limit. However, geometric phases due to the finite superfluid density at superconductor grains have a profound influence on the quantum dynamics of vortices. Subsequently we find rich and complex Hall behaviors analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum regime.

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X. -M. Zhu, Yong Tan, P. Ao. 1998-03-08. Effects of Geometric Phases in Josephson Junction Arrays. https://doi.org/10.1103/physrevlett.77.562

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