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Josephson junctions with tunable current-phase relation

A. Lipman, R. G. Mints, R. Kleiner, D. Koelle, E. Goldobin

DOI 10.1103/PhysRevB.90.184502 · Physical Review B

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Abstract

We consider 0-π Josephson junctions consisting of 0 and π regions of lengths L0 and Lπ with critical current densities jc0 and jcπ, respectively. The dependence of the Josephson current on the phase-shift averaged along the junction is derived. We show that these systems exhibit the main features of φ Josephson junctions—the ground state is doubly degenerate and the current-phase relation can be tuned in situ by applying magnetic field. In the limit of short and long 0 and π regions, the current phase relation is derived analytically. In the case of intermediate lengths of 0 and π regions, the current-phase relation is calculated numerically.

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