Waiting time fluctuations in quasi-one-dimensional disordered conductors

TL;DR

This paper investigates the fluctuations in the waiting time between electrons in disordered quasi-one-dimensional conductors, revealing universal fluctuation behavior and analyzing quantum jitter effects across different transport regimes.

Contribution

It provides a comprehensive analysis of waiting time distribution and fluctuations in disordered conductors, extending the Dorokhov-Mello-Pereyra-Kumar theory to include quantum and disorder-induced effects.

Findings

Variance of waiting time fluctuations is universal, akin to conductance fluctuations.

Distribution of mean waiting time is characterized across ballistic to localized regimes.

Quantum jitter exhibits specific statistical properties in disordered conductors.

Abstract

We consider sample to sample fluctuations of the waiting time between the detection of two consecutive electrons in quasi-one-dimensional disordered conductors at zero temperature. We compute the full distribution of the mean waiting time along the crossover from ballistic to localised transport in the framework of the Dorokhov-Mello-Pereyra-Kumar theory for an arbitrary number of conduction channels. In particular we show that its variance, with respect to disorder, displays universal fluctuations similar to the universal conductance fluctuations in the metallic regime. We then discuss the statistical properties of the jitter associated to quantum fluctuations of the waiting time.