Arrays of Josephson junctions in an environment with vanishing impedance

Details Arrays of Josephson junctions in an environment with vanishing impedance Arrays of Josephson junctions in an environment with vanishing impedance

1999-11-23

arxiv.org/abs/cond-mat/9911368v2

Phys Rev. B 62, 1296 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 9 figures, uses RevTeX and epsfig, Revised version, Better readability and some new results

Scientific paper

10.1103/PhysRevB.62.1296

The Hamiltonian operator for an unbiased array of Josephson junctions with gate voltages is constructed when only Cooper pair tunnelling and charging effects are taken into account. The supercurrent through the system and the pumped current induced by changing the gate voltages periodically are discussed with an emphasis on the inaccuracies in the Cooper pair pumping. Renormalisation of the Hamiltonian operator is used in order to reliably parametrise the effects due to inhomogeneity in the array and non-ideal gating sequences. The relatively simple model yields an explicit, testable prediction based on three experimentally motivated and determinable parameters.

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