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Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields

Liliana Arrachea·Michael Moskalets
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Abstract

We present the relation between the Floquet scattering matrix and the non-equilibrium Green's function formalisms to transport theory in noninteracting electronic systems in contact to reservoirs and driven by time-periodic fields. We present a translation formula that expresses the Floquet scattering matrix in terms of a Fourier transform of the retarded Green's function. We prove that such representation satisfies the fundamental identities of tran sport theory. We also present the ``adiabatic'' approximation to the dc-current in the language of the Keldysh formalism.

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Liliana Arrachea, Michael Moskalets. 2006-07-11. Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields. https://doi.org/10.1103/physrevb.74.245322

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