Dynamical 1/N approach to time-dependent currents through quantum dots

Merino, J.; Marston, J. B.

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Dynamical 1/N approach to time-dependent currents through quantum dots

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Merino, J.
Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;
Department Electronic Structure Theory (Ali Alavi), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Merino, J., & Marston, J. B. (2004). Dynamical 1/N approach to time-dependent currents through quantum dots. Physical Review B, 69(11): 115304.

Cite as: https://hdl.handle.net/21.11116/0000-000E-FF23-C

Abstract

A systematic truncation of the many-body Hilbert space is implemented
to study how electrons in a quantum dot attached to conducting leads
respond to time-dependent biases. The method, which we call the
dynamical 1/N approach, is first tested in the most unfavorable case,
the case of spinless fermions (N=1). We recover the expected behavior,
including transient ringing of the current in response to an abrupt
change of bias. We then apply the approach to the physical case of
spinning electrons, N=2, in the Kondo regime for the case of infinite
intradot Coulomb repulsion. In agreement with previous calculations
based on the noncrossing approximation, we find current oscillations
associated with transitions between Kondo resonances situated at the
Fermi levels of each lead. We show that this behavior persists for a
more realistic model of semiconducting quantum dots in which the
Coulomb repulsion is finite.