Analytical calculation of the excess current in the OTBK theory

Details Analytical calculation of the excess current in the OTBK theory Analytical calculation of the excess current in the OTBK theory

2009-05-29

arxiv.org/abs/0905.4852v1

Supercond. Sci. Technol. 22, 085016 (2009)

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1088/0953-2048/22/8/085016

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.

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