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Transient dynamics in the Anderson–Holstein model with interfacial screening

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Abstract

We study the combined effects of electron–phonon coupling and dot-lead repulsion in the transport properties of the Anderson–Holstein model. We employ a recently proposed nonperturbative method to calculate the transient response of the system. By varying the initial conditions for the time propagation the current exhibits transient oscillations of different nature. We are able to disentangle two dynamical processes, namely the local charge rearrangement due to the dot-lead contacting and the establishment of the nonequilbrium many-body state due to the application of the external bias. These processes involve either Franck–Condon excitations or transitions between the resonant level and the Fermi energy of the leads.

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Notes

  1. We remind that for \(U=0\) the model \(\hat{H}\) threated within the wide-band-limit approximation and the model \(\hat{H}_{c}\) return exactly the same results, that, in turn, do not depend on \(a\), see e.g. Refs.  [25–27].

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Acknowledgments

We acknowledge funding by MIUR FIRB Grant No. RBFR12SW0J.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy

    E. Perfetto & G. Stefanucci

  2. INFN, Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044, Frascati, Italy

    E. Perfetto & G. Stefanucci

  3. European Theoretical Spectroscopy Facility (ETSF), Rome, Italy

    G. Stefanucci

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Perfetto, E., Stefanucci, G. Transient dynamics in the Anderson–Holstein model with interfacial screening. J Comput Electron 14, 352–359 (2015). https://doi.org/10.1007/s10825-015-0662-8

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