Martin-Luther-Universität Halle-Wittenberg


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Time-dependent quantum transport through interacting systems using the Kadanoff-Baym equations

Prof. Dr. Robert van Leeuwen

(Department of Physics, Nanoscience Center, University of Jyväskylä, Finland)


We propose a time-dependent many-body approach to study the short-time  dynamics of correlated electrons in quantum transport through nanoscale  systems contacted to metallic leads.This approach is based on the time  propagation of the Kadanoff-Baym equations for the nonequilibrium  many-body Green’s function of open and interacting systems out of  equilibrium. An important feature of the method is that it takes full  account of electronic correlations and embedding effects in the presence  of time-dependent external fields, while at the same time satisfying the  charge conservation law.
The method further extends the Meir-Wingreen formula to the time domain  for initially correlated states. We study the electron dynamics of a  correlated quantum wire attached to two-dimensional leads exposed to a  sudden switch on of a bias voltage using conserving many-body  approximations at Hartree-Fock, second Born and GW level. We obtain  detailed results for the transient currents, dipole moments, and  spectral functions of the quantum wire as well as for the time-dependent  density pattern in the leads, and we show how the time dependence of  these observables provides a wealth of information on the energy level  structure of the quantum wire out of equilibrium.

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