Non-equilibrium charge susceptibility and dynamical conductance: Identification of scattering processes in quantum transport

Abstract

We calculate the non-equilibrium charge transport properties of nanoscale junctions in the steady state and extend the concept of charge susceptibility to the non-equilibrium conditions. We show that the non-equilibrium charge susceptibility is related to the non-linear dynamical conductance. In spectroscopic terms, both contain the same features versus applied bias when charge fluctuation occurs in the corresponding electronic resonances. However, we show that while the conductance exhibits features at biases corresponding to inelastic scattering with no charge fluctuations, the non-equilibrium charge susceptibility does not. We suggest that measuring both the non-equilibrium conductance and charge susceptibility in the same experiment will permit us to differentiate between different scattering processes in quantum transport.

arXiv commentaccepted for publication in Phys. Rev. Lett

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• The Anderson impurity model out of equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation
• Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
• Non-equilibrium renormalised contacts for transport in nanodevices with interaction: a quasi-particle approach
• Non-equilibrium transport with self-consistent renormalised contacts for a single-molecule nanodevice with electron-vibron interaction