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Non-linear Quantum Transport in Interacting Nanostructures

In: High Performance Computing in Science and Engineering ´16

Author

Listed:
  • Benedikt Schoenauer

    (Utrecht University, Center for Extreme Matter and Emergent Phenomena, Institute for Theoretical Physics)

  • Peter Schmitteckert

    (Universität Würzburg, Lehrstuhl für Theoretische Physik I, Physikalisches Institut, Am Hubland)

Abstract

We study numerically whether the transient dynamics of local currents inside interacting regions, coupled to non-interacting leads, can be distinctly different from the transient dynamics of currents which are transmitted through these interacting regions. Here, we present a simple model system incorporating an asymmetric ring structure as an interacting impurity region into a non-interacting tight-binding chain. For this model system, we observe local currents, restricted to the ring structure, that can easily outgrow the net current through the system. The transient oscillations of these currents may also decay on time scales orders of magnitude larger than the decay time of transient features in the transmitted currents, for which a decay time is known (Wingreen et al., Phys Rev B 48(11):8487–8490, 1993) to always exist and to be proportional to the inverse resonance width.

Suggested Citation

  • Benedikt Schoenauer & Peter Schmitteckert, 2016. "Non-linear Quantum Transport in Interacting Nanostructures," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering ´16, pages 203-225, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-47066-5_15
    DOI: 10.1007/978-3-319-47066-5_15
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