Distributions of Waiting Times of Dynamic Single-Electron Emitters

TL;DR

This paper studies the waiting time distributions in periodically driven single-electron emitters, revealing detailed charge transfer dynamics and correlations beyond traditional full counting statistics.

Contribution

It introduces the use of waiting time distributions to analyze driven single-electron emitters and demonstrates their ability to reconstruct full counting statistics and capture short-time physics.

Findings

WTDs provide detailed insights into charge transfer processes.

WTDs can reconstruct full counting statistics.

WTDs reveal short-time correlations not accessible by FCS.

Abstract

The distribution of waiting times between elementary tunneling events is of fundamental importance for understanding the stochastic charge transfer processes in nanoscale conductors. Here we investigate the waiting time distributions (WTDs) of periodically driven single-electron emitters and evaluate them for the specific example of a mesoscopic capacitor. We show that the WTDs provide a particularly informative characterization of periodically driven devices and we demonstrate how the WTDs allow us to reconstruct the full counting statistics (FCS) of charges that have been transferred after a large number of periods. We find that the WTDs are capable of describing short-time physics and correlations which are not accessible via the FCS alone.