Generalized boundary conditions for the circuit theory of mesoscopic transport

Physics – Condensed Matter – Superconductivity

Scientific paper

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Improvement of this work and final published version can be found in arXiv:0911.4784 / Phys. Rev. B 80, 184511 (2009)

Scientific paper

The circuit theory of mesoscopic transport provides a unified framework to describe spin-dependent or superconductivity-related phenomena. We extend this theory to hybrid systems of normal metals, ferromagnets and superconductors. Our main result is an expression for the current through an arbitrary contact between two general isotropic "nodes", which is suitable to describe the presence of superconducting and ferromagnetic elements in the system, as well as magnetically active interfaces/contacts. In certain cases (weak ferromagnet and magnetic tunnel junction) we derive transparent and simple results for the matrix current.

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