Can I read Non-renewal Statistics in Quantum Transport Through the Eyes of First-passage and Waiting Time Distributions on EtoBox?

Non-renewal Statistics in Quantum Transport Through the Eyes of First-passage and Waiting Time Distributions by Rudge, Samuel L.; Kosov, Daniel S. is a scholarly article available to read on EtoBox.

What is Non-renewal Statistics in Quantum Transport Through the Eyes of First-passage and Waiting Time Distributions about?

The waiting time distribution has, in recent years, proven to be a useful statistical tool for characterising transport in nanoscale quantum transport. In particular, as opposed to moments of the distribution of transferred charge, which have historically been calculated in the long-time limit, waiting times are able to detect non-renewal behaviour in mesoscopic systems. They have failed, however, to correctly incorporate backtunneling events. Recently, a method has been developed that can describe unidirectional and bidirectional transport on an equal footing: the distribution of first-passage times. Rather than the time between successive electron tunnelings, the first-passage refers to the first time the number of extra electrons in the drain reaches $+1$. Here, we demonstrate the differences between first-passage time statistics and waiting time statistics in transport scenarios where the waiting time either cannot correctly reproduce the higher order current cumulants or cannot be calculated at all. To this end, we examine electron transport through a molecule coupled to two macroscopic metal electrodes. We model the molecule with strong electron-electron and electron-phonon i

Author

Rudge, Samuel L.; Kosov, Daniel S.

Published

2019

Language

EN