Full Counting Statistics of Interacting Electrons

TL;DR

This paper advances the understanding of electron transport noise by developing full counting statistics for interacting electrons, focusing on quantum dots with strong charging effects and diffusive conductors.

Contribution

It introduces methods to analyze interaction effects in full counting statistics beyond perturbation theory, with applications to quantum dots and diffusive conductors.

Findings

Describes electron transport through quantum dots with strong charging effects.

Analyzes current fluctuations in diffusive interacting conductors.

Provides non-perturbative approaches to interaction effects in full counting statistics.

Abstract

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation effects associated with the statistics and effects of entanglement, but it remains a non-trivial task to account for interaction effects. In this article we present two examples: we describe electron transport through quantum dots with strong charging effects beyond perturbation theory in the tunneling, and we analyze current fluctuations in a diffusive interacting conductor.