Analytical calculation of the excess current in the OTBK theory

Abstract

We present an analytical derivation of the excess current in Josephson junctions within the Octavio-Tinkham-Blonder-Klapwijk theory for both symmetric and asymmetric barrier strengths. We confirm the result found numerically by Flensberg et al. for equal barriers [Phys. Rev. B 38, 8707 (1988)], including the prediction of negative excess current for low transparencies, and we generalize it for differing barriers. Our analytical formulae provide for convenient fitting of experimental data, also in the less studied, but practically relevant case of the barrier asymmetry.

13 pages, 3 figures, submitted to Superconductor Science and Technology

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• Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
• Multiple Andreev reflections in topological insulator nanoribbons
• High transparency induced superconductivity in field effect two-dimensional electron gases in undoped InAs/AlGaSb surface quantum wells
• Phase-dependent supercurrent and microwave dissipation of HgTe quantum well Josephson junctions