Effects of Geometric Phases in Josephson Junction Arrays
X.-M. Zhu, Yong Tan, P. Ao
DOI 10.1103/PhysRevLett.77.562 · Physical Review Letters
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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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