Correlated transport through junction arrays in the small Josephson energy limit: incoherent Cooper-pairs and hot electrons

Abstract

We study correlated transport in a Josephson junction array for small Josephson energies. In this regime transport is dominated by Cooper-pair hopping, although we observe that quasiparticles can not be neglected. We assume that the energy dissipated by a Cooper-pair is absorbed by the intrinsic impedance of the array. This allows us to formulate explicit Cooper-pair hopping rates without adding any parameters to the system. We show that the current is correlated and crucially, these correlations rely fundamentally on the interplay between the Cooper-pairs and equilibrium quasiparticles.

11 pages, 9 figures - Published Version

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• Charge filling factors in clean and disordered arrays of tunnel junctions
• Diagrammatic description of a system coupled strongly to a bosonic bath
• Cooper-Pair Tunneling in Small Josephson Junction Arrays under Radio-Frequency Irradiation
• Hysteresis and jumps in the I-V curves of disordered two-dimensional materials
• Rescaling of Applied Oscillating Voltages in Small Josephson Junctions