Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach

TL;DR

This paper investigates the nonequilibrium Kondo effect in a magnetic field using an auxiliary master equation approach, revealing detailed behavior of the Kondo peak shift and conductance anomaly under bias and magnetic field.

Contribution

The study introduces a highly accurate auxiliary master equation method to analyze the nonequilibrium Kondo effect, aligning well with advanced numerical techniques.

Findings

DOS shift and conductance anomaly behave differently under magnetic field.

The auxiliary master equation approach provides results consistent with NRG-TD-DMRG methods.

The method accurately captures the transition from Kondo to charge fluctuation regimes.

Abstract

We study the single-impurity Anderson model out of equilibrium under the influence of a bias voltage $\phi$ and a magnetic field $B$. We investigate the interplay between the shift ($\omega_B$) of the Kondo peak in the spin-resolved density of states (DOS) and the one ($\phi_B$) of the conductance anomaly. In agreement with experiments and previous theoretical calculations we find that, while the latter displays a rather linear behavior with an almost constant slope as a function of $B$ down to the Kondo scale, the DOS shift first features a slower increase reaching the same behavior as $\phi_B$ only for $|g| \mu_B B \gg k_B T_K$. Our auxiliary master equation approach yields highly accurate nonequilibrium results for the DOS and for the conductance all the way from within the Kondo up to the charge fluctuation regime, showing excellent agreement with a recently introduced scheme based on a combination of numerical renormalization group with time-dependent density matrix renormalization group.