Analytical result on the supercurrent through a superconductor/quantum-dot/superconductor junction

Details Analytical result on the supercurrent through a superconductor/quantum-dot/superconductor junction Analytical result on the supercurrent through a superconductor/quantum-dot/superconductor junction

2001-11-26

arxiv.org/abs/cond-mat/0111480v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 2 figures

Scientific paper

We present an analytical result for the supercurrent across a superconductor/quantum-dot/superconductor junction. By converting the current integration into a special contour integral, we can express the current as a sum of the residues of poles. These poles are real and give a natural definition of the Andreev bound states. We also use the exact result to explain some features of the supercurrent transport behavior.

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