A comprehensive study of out-of-equilibrium Kondo effect and Coulomb blockade

TL;DR

This paper provides a detailed numerical analysis of the out-of-equilibrium Kondo effect and Coulomb blockade in quantum dots, revealing new physical insights and comprehensive current-voltage characteristics across various regimes.

Contribution

It introduces a high-order perturbative approach combined with extrapolation techniques to accurately study the non-equilibrium Anderson model, including time-resolved dynamics.

Findings

Mapped Coulomb diamond including Kondo ridge

Identified five regimes in current-voltage characteristics

Predicted new physical features observable experimentally

Abstract

We present a comprehensive set of numerically exact results for the Anderson model of a quantum dot coupled to two electrodes in non-equilibrium regime. We use a high order perturbative expansion in power of the interaction $U$, coupled to a cross-extrapolation method to long time and large interaction. The perturbative series is computed up to $20-25$ orders, using tensor cross-interpolation. We calculate the full Coulomb diamond bias voltage - gate voltage map, including its Kondo ridge, that forms the standard experimental signature of the Coulomb blockage and the Kondo effect. We present current-voltage characteristics that spans three orders of magnitude in bias voltage and display five different regimes of interest from probing the Kondo resonance at small bias to saturation at very high bias. Our technique also naturally produces time-resolved interaction quenches which we use to study the dynamics of the formation of the Kondo cloud. Finally, we predict several qualitatively new physical features that should be within reach of existing or upcoming experiments.