Non-adiabatic Electron Pumping through Interacting Quantum Dots

Abstract

We study non-adiabatic charge pumping through single-level quantum dots taking into account Coulomb interactions. We show how a truncated set of equations of motion can be propagated in time by means of an auxiliary-mode expansion. This formalism is capable of treating the time-dependent electronic transport for arbitrary driving parameters. We verify that the proposed method describes very precisely the well-known limit of adiabatic pumping through quantum dots without Coulomb interactions. As an example we discuss pumping driven by short voltage pulses for various interaction strengths. Such finite pulses are particular suited to investigate transient non-adiabatic effects, which may be also important for periodic drivings, where they are much more difficult to reveal.

11 pages, 4 figures

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Cited by in corpus (16)

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• Time-dependent thermoelectric transport for nanoscale thermal machines
• Time-dependent resonant tunneling transport: Keldysh and Kadanoff-Baym nonequilibrium Green's functions in an analytically soluble problem
• Renormalization in periodically driven quantum dots
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• A new approach to time-dependent transport through an interacting quantum dot within Keldysh formalism
• Functional renormalization group in Floquet space
• Full Counting Statistics of a Non-adiabatic Electron Pump
• Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
• Hierarchical quantum master equation approach to charge transport in molecular junctions with time-dependent molecule-lead coupling strengths
• Emergence of Bloch oscillations in one-dimensional systems
• Transient currents of a single molecular junction with a vibrational mode
• Time-dependent framework for energy and charge currents in nanoscale systems
• Emergence of Larkin-Ovchinnikov-type superconducting state in a voltage-driven superconductor
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field
• Optimal control over the full counting statistics in a non-adiabatic pump