The Keldysh action of a multi-terminal time-dependent scatterer

Details The Keldysh action of a multi-terminal time-dependent scatterer The Keldysh action of a multi-terminal time-dependent scatterer

2008-01-15

arxiv.org/abs/0801.2293v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 2 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.77.165118

We present a derivation of the Keldysh action of a general multi-channel time-dependent scatterer in the context of the Landauer-B\"uttiker approach. The action is a convenient building block in the theory of quantum transport. This action is shown to take a compact form that only involves the scattering matrix and reservoir Green functions. We derive two special cases of the general result, one valid when reservoirs are characterized by well-defined filling factors, the other when the scatterer connects two reservoirs. We illustrate its use by considering Full Counting Statistics and the Fermi Edge Singularity.

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