Numerically exact full counting statistics of the nonequilibrium Anderson impurity model

TL;DR

This paper presents a numerically exact method for calculating the full counting statistics of charge transport in the nonequilibrium Anderson impurity model, revealing interaction effects and crossover phenomena.

Contribution

It introduces an inchworm Monte Carlo approach to accurately compute time-dependent charge cumulants and transfer distributions in an interacting quantum system.

Findings

Reproduces exact noninteracting results

Identifies crossover from Coulomb blockade to Kondo physics with temperature

Discovers long-tailed spin distributions and queuing behavior in the Kondo regime

Abstract

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are reproduced; then, we continue to explore the effect of electron--electron interactions on the time-dependent charge cumulants, first-passage time distributions and $n$-electron transfer distributions. We observe a crossover in the noise from Coulomb blockade- to Kondo-dominated physics as the temperature is decreased. In addition, we uncover long-tailed spin distributions in the Kondo regime and analyze queuing behavior caused by correlations between single electron transfer events.