Keldysh action of a multiterminal time-dependent scatterer

Snyman, I.; Nazarov, Y.V.

Keldysh action of a multiterminal time-dependent scatterer

Title

Keldysh action of a multiterminal time-dependent scatterer

Author

Snyman, I.
Nazarov, Y.V.

Faculty

Applied Sciences

Department

Kavli Institute of Nanoscience

Date

2008-04-14

Abstract

We present a derivation of the Keldysh action of a general multichannel time-dependent scatterer in the context of the Landauer–Büttiker 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’s 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.

Subject

electron transport theory
Green's function methods

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Publisher

American Physical Society

ISSN

0163-1829

Source

Physical Review B, 77 (16), 2008

Part of collection

Institutional Repository