Discontinuous current-phase relations in small 1D Josephson junction arrays

Details Discontinuous current-phase relations in small 1D Josephson junction arrays Discontinuous current-phase relations in small 1D Josephson junction arrays

2008-02-16

arxiv.org/abs/0802.2351v1

Phys. Rev. Lett. 101, 097007 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.097007

We study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase relationships (I$\Phi$). We present results for a three-junction system in the vicinity of charge degeneracy lines and triple points. We explain the generalization to larger arrays, show that discontinuities of the I$\Phi$ at phase $\pi$ persist and that, at maximum degeneracy, the problem can be mapped to a tight-binding model providing analytical results for arbitrary system size.

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