Effects of Geometric Phases in Josephson Junction Arrays

Details Effects of Geometric Phases in Josephson Junction Arrays Effects of Geometric Phases in Josephson Junction Arrays

1995-07-28

arxiv.org/abs/cond-mat/9507126v2

Physics

Condensed Matter

Latex, 11 pages, appeared in Phys. Rev. Lett. v.77, 562 (1996) with minor changes

Scientific paper

10.1103/PhysRevLett.77.562

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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