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

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.

15 pages

References in corpus (6)

• Driven quantum transport on the nanoscale
• Adiabatic pumping through interacting quantum dots
• Shot noise control in ac-driven nanoscale conductors
• Photovoltaic and Rectification Currents in Quantum Dots
• Measuring geometric phases of scattering states in nanoscale electronic devices
• Adiabatic quantum pumping of a desired ratio of spin current to charge current

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• Photoconductance of organic single-molecule contacts
• Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
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• Functional renormalization group in Floquet space
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• Transient magnetotransport through a quantum wire
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• Landauer theory of ballistic torkances in non-collinear spin valves
• AC transport in carbon-based devices: challenges and perspectives
• Discontinuous conductance of bichromatically ac-gated quantum wires
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