The parity effect in Josephson junction arrays

Abstract

We study the parity effect and transport due to quasiparticles in circuits comprised of many superconducting islands. We develop a general approach and show that it is equivalent to previous methods for describing the parity effect in their more limited regimes of validity. As an example we study transport through linear arrays of Josephson junctions in the limit of negligible Josephson energy and observe the emergence of the parity effect with decreasing number of non-equilibrium quasiparticles. Due to the exponential increase in the number of relevant charge states with increasing length, in multi-junction arrays the parity effect manifests in qualitatively different ways to the two junction case. The role of charge disorder is also studied as this hides much of the parity physics which would otherwise be observed. Nonetheless, we see that the current through a multi-junction array at low bias is limited by the formation of meta-stable even-parity states.

8 pages, 5 figures

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Cited by in corpus (6)

• Parity effect and single-electron injection for Josephson-junction chains deep in the insulating state
• Magnetic field-tuned superconductor/insulator transition in TiN nanostrips
• Creating photon-number squeezed strong microwave fields by a Cooper-pair injection laser
• Charge filling factors in clean and disordered arrays of tunnel junctions
• Phase-dependent transport in thermally-driven superconducting single-electron transistors
• Linear response theory of Josephson junction arrays in a microwave cavity