Charge fluctuations in single-electron tunneling oscillations

TL;DR

This paper theoretically analyzes how the charge-fluctuation spectrum in a small tunnel junction varies with environmental impedance, shedding light on the conditions for stable single-electron tunneling oscillations.

Contribution

It provides a detailed theoretical study of charge-fluctuation spectra and their dependence on impedance, advancing understanding of single-electron tunneling stability.

Findings

Charge oscillation peaks diminish with increasing impedance.

Analytical and numerical methods describe the oscillation evolution.

Insights into the conditions for regular single-electron tunneling.

Abstract

It has been predicted that in the presence of a sufficiently high-dissipative environment transport in a small tunnel junction can become extremely regular, giving rise to the phenomenon of single-electron tunneling oscillations. Recent progress in detection of high-frequency current fluctuations and the interest in single-electron sources motivate further investigations on the expected accuracy of the charge oscillations as a function of the impedance of the environment. In this paper we study theoretically the charge-fluctuation spectrum at finite frequency for the system at hand, and investigate its evolution as a function of the external impedance. The evolution and the disappearance of the single-electron oscillations peak is described by analytical and numerical methods.