Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model
arXiv:1812.08618 · doi:10.1103/PhysRevB.99.075139
Abstract
We evaluate the non-equilibrium single particle Green's functions in the steady state of the interacting resonant level model (IRLM) under the effect of an applied bias voltage. Employing the so-called auxiliary master equation approach, we present accurate nonperturbative results for the non-equilibrium spectral and effective distribution functions, as well as for the current-voltage characteristics. We find a drastic change of these spectral properties between the regimes of low and high bias voltages and discuss the relation of these changes to the negative differential conductance (NDC), a prominent feature in the non-equilibrium IRLM. The anomalous evolution of the distribution function next to the impurity shown by our calculations suggests a mechanism whereby the impurity gets effectively decoupled from the leads at voltages where the NDC sets in, in agreement with previous renormalization group approaches. This scenario is qualitatively confirmed by a Hartree-Fock treatment of the model.
References in corpus (9)
- Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
- Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
- Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
- Charge transport through single molecules, quantum dots, and quantum wires
- Theory of a resonant level coupled to several conduction electron channels in equilibrium and out-of-equilibrium
- Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
- The interacting resonant level model in nonequilibrium: finite temperature effects
- From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
- Impurity model for non-equilibrium steady states