Non-Markovian theory for the waiting time distributions of single electron transfers

TL;DR

This paper develops a non-Markovian theoretical framework for analyzing the waiting time distributions in single-electron transfer processes, incorporating finite bias and temperature effects, and revealing transient oscillations and memory effects.

Contribution

It introduces a microscopic Pauli rate equation formalism that captures memory effects in electron transfer waiting times, extending previous Markovian models.

Findings

Transient oscillations due to system memory are observed.

Memory effects persist over multiple electron transfers.

Non-Markovian corrections effectively approximate memory influences.

Abstract

We derive a non-Markovian theory for waiting time distributions of consecutive single electron transfer events. The presented microscopic Pauli rate equation formalism couples the open electrodes to the many-body system, allowing to take finite bias and temperature into consideration. Numerical results reveal transient oscillations of distinct system frequencies due to memory in the waiting time distributions. Memory effects can be approximated by an expansion in non-Markovian corrections. This method is employed to calculate memory landscapes displaying preservation of memory over multiple consecutive electron transfers.