Effects of Geometric Phases in Josephson Junction Arrays
Condensed Matter
2009-10-28 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/9507126,
title = {Effects of Geometric Phases in Josephson Junction Arrays},
author = {X. -M. Zhu and Yong Tan and P. Ao},
journal= {arXiv preprint arXiv:cond-mat/9507126},
year = {2009}
}
Comments
Latex, 11 pages, appeared in Phys. Rev. Lett. v.77, 562 (1996) with minor changes