Many-body wavefunctions for quantum impurities out of equilibrium. II. Charge fluctuations

Abstract

We extend the general formalism discussed in the previous paper to two models with charge fluctuations: the interacting resonant level model and the Anderson impurity model. In the interacting resonant level model, we find the exact time-evolving wavefunction and calculate the steady state impurity occupancy to leading order in the interaction. In the Anderson impurity model, we find the non-equilibrium steady state for small or large Coulomb repulsion U , and we find that the steady state current to leading order in U agrees with a Keldysh perturbation theory calculation.

Finite-bias transport through the interacting resonant level model coupled to a phonon mode -- a functional renormalization group study

“…Several of the many-body methods referred to above can also be used to tackle the IRLM in the bias-voltage V or temperature gradient (T L = T R , with the reservoir temperatures T L/R ) driven nonequilibrium steady state [11,13,[16][17][18][19][20][21][22][23]. The physics of the IRLM is thus well understood also in this regime, in particular, for the case of a left-right symmetric setup (Γ L = Γ R , U L = U R ) on which we focus.…”