Keldysh action of a multiterminal time-dependent scatterer

by: I Snyman, YV Nazarov

Physical Review B, Vol. 77, No. 16. (2008), 165118.

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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.

@article{citeulike:2731321, abstract = {We present a derivation of the Keldysh action of a general multichannel time-dependent scatterer in the context of the Landauer–B\"{u}ttiker 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.}, author = {Snyman, I. and Nazarov, Y. V. }, citeulike-article-id = {2731321}, doi = {10.1103/PhysRevB.77.165118}, journal = {Physical Review B}, keywords = {counting\_statistics, edge-singularity}, number = {16}, pages = {165118+}, posted-at = {2008-04-29 00:33:19}, priority = {2}, publisher = {APS}, title = {Keldysh action of a multiterminal time-dependent scatterer}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRBMDO000077000016165118000001\&idtype=cvips\&gifs=yes}, volume = {77}, year = {2008} }

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TY - JOUR ID - citeulike:2731321 L3 - citeulike-article-id:2731321 TI - Keldysh action of a multiterminal time-dependent scatterer JF - Physical Review B VL - 77 IS - 16 SP - 165118 PB - APS N2 - 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. KW - counting_statistics KW - edge-singularity AU - Snyman, I AU - Nazarov, YV PY - 2008/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000077000016165118000001&idtype=cvips&gifs=yes ER -

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