Nonadiabatic electron pumping through interacting quantum dots

We study nonadiabatic 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 time-dependent electronic trans...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-01, Vol.85 (3), Article 035309
Main Authors: Croy, Alexander, Saalmann, Ulf, Hernández, Alexis R., Lewenkopf, Caio H.
Format: Article
Language:English
Subjects:
Condensed matter
Coulomb friction
Electron pumping
Equations of motion
Formalism
Mathematical analysis
Pumping
Quantum dots
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Summary:We study nonadiabatic 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 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 particularly suited to investigation of transient nonadiabatic effects, which may also be important for periodic drivings, where they are much more difficult to reveal.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.85.035309