Analytical result on the supercurrent through a superconductor/quantum-dot/superconductor junction
arXiv:cond-mat/0111480 · doi:10.1088/0253-6102/38/1/103
Abstract
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.
8 pages, 2 figures