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

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

2006-07-11

arxiv.org/abs/cond-mat/0607278v1

Phys. Rev. B v.74,245322 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages

Scientific paper

10.1103/PhysRevB.74.245322

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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