Numerical cookbook for electronic quantum transport at finite frequency

Abstract

Building on the many existing algorithms for calculating the DC transport properties of quantum tight-binding models, we develop a systematic approach that expresses finite frequency observables in terms of the stationary Green's function of the system, i.e. the natural output of most DC numerical codes. Our framework allows to extend the simulations capabilities of existing codes to a large class of observables including, for instance, AC conductance, quantum capacitance, quantum pumping, spin pumping or photo-assisted shot noise. The theory is developed within the framework of Keldysh formalism and we provide explicit links with the alternative (and equivalent) scattering approach. We illustrate the formalism with a study of the AC conductance in a quantum point contact and an electronic Mach-Zehnder interferometer in the quantum Hall regime.

21 pages, 8 figures

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Cited by in corpus (9)

• Numerical simulations of time resolved quantum electronics
• Theory of AC quantum transport with fully electrodynamic coupling
• Toward flying qubit spectroscopy
• High-harmonic generation in spin and charge current pumping at ferromagnetic or antiferromagnetic resonance in the presence of spin-orbit coupling
• Spin pumping from antiferromagnetic insulator spin-orbit-proximitized by adjacent heavy metal: A first-principles Floquet-nonequilibrium Green's function study
• Attenuation and amplification of the transient current in nanojunctions with time-varying gate potentials
• Quantum nonlinear ac transport theory at low frequency
• Quantum coherence in noise power spectrum in two quantum dots
• Classical and quantum spreading of a charge pulse