Single-electron approach for time-dependent electron transport

Abstract

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method for transport of non-interacting electrons, we generalize the Landauer formula for transient currents and for time-dependent potentials. The result has a very simple form and clear physical interpretation. As an example, we apply it to resonant tunneling through a quantum dot where the tunneling barriers are oscillating in time. We obtain analytical expression for the time-dependent (ac) resonant current. However, in the adiabatic limit this expression displays the dc current for zero bias (electron pumping).

Typo errors fixed

References in corpus (2)

• Resonance approximation and charge loading/unloading in adiabatic quantum pumping
• Time-dependent Landauer-Büttiker formula: application to transient dynamics in graphene nanoribbons

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• Many-body wavefunctions for quantum impurities out of equilibrium. II. Charge fluctuations
• Zero-bias current induced by periodic drive of any shape
• Thermoelectric study of the time-dependent Resonant Level Model
• Exact time-evolving scattering states in open quantum-dot systems with an interaction: Discovery of time-evolving resonant states
• Coupling-energy driven pumping through quantum dots: Role of coherences