Transmission Coefficient as a Three-Point Retarded Function

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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2 pages, 2 figures, submitted to J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.72.3301

We show that the transmission probability through a small interacting region connected to noninteracting leads, can be written in terms of a retarded product of a three-point correlation function defined in the real time. Our proof is based on the Kubo formalism, and uses an Eliashberg theory for analytic properties of vertex functions. The aim of this short report is to add a new viewpoint to the transport theory described in the previous paper: A.O., J. Phys. Soc. Jpn. 70 (2001) 2666.

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