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Frequency-dependent Cooper-pair tunneling in ultrasmall superconductor-insulator-superconductor junctions

A. Hädicke, W. Krech

DOI 10.1103/PhysRevB.52.13526 · Physical Review B

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Abstract

Single-charge tunneling in ultrasmall voltage biased superconductor-insulator-superconductor junctions in a high-impedance electromagnetic environment is considered. The Cooper-pair current is calculated at T=0 on the basis of the elementary tunnel Hamiltonian for quasiparticles where the transfer of Cooper pairs emerges automatically as an effect of higher-order perturbation theory. The frequency dispersion of the supercurrent is taken into account because it depends on the frequency-dependent pair current amplitude Ip(ω).

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