Abstract
We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron–electron and electron–phonon interactions. We introduce a novel numerical approach which allows for an efficient evaluation of the non-equilibrium Green functions in the time domain. Within this approach we implement different self-consistent diagrammatic approximations in order to analyze the system evolution after a sudden connection to the leads and its convergence to the steady state. These approximations are tested by comparison with available numerically exact results, showing good agreement even for the case of large interaction strength. In addition to its methodological advantages, this approach allows us to study several issues of broad current interest like the build up in time of Kondo correlations and the presence or absence of bistability associated with electron–phonon interactions. We find that, in general, correlation effects tend to remove the possible appearance of charge bistability.
Highlights
Studies of quantum transport in nanoscale devices have mainly focused on steady state properties [1]
In this work we present an efficient algorithm for the integration of the time-dependent Dyson equation for the non-equilibrium Green functions applied to different models of correlated nanoscale systems, including electron–electron and electron–phonon interactions
In the case of electron–phonon interactions we introduce novel theoretical tools for solving the Dyson equations associated with the phonon propagator in order to account properly for the build up of a non-equilibrium phonon population
Summary
Studies of quantum transport in nanoscale devices have mainly focused on steady state properties [1]. Similar concerns can be applied to the case of time-dependent NRG This situation suggests the convenience of revisiting perturbative diagrammatic methods for analyzing transport transient dynamics in interacting nanoscale devices. In this work we present an efficient algorithm for the integration of the time-dependent Dyson equation for the non-equilibrium Green functions applied to different models of correlated nanoscale systems, including electron–electron and electron–phonon interactions. To deal with these correlations we use a diagrammatic expansion of the system self-energies at different levels of approximation including self-consistency effects.
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