Analysis of the radio-frequency single-electron transistor with large quality factor

TL;DR

This paper extends the theory of RF-SETs to large quality factors, analyzing how Q affects response and sensitivity, and introduces a new resonant operation mode involving overtones of the incident wave.

Contribution

It provides a theoretical analysis of RF-SET performance at large Q and proposes a novel resonant operation mode with overtones.

Findings

RF-SET response peaks near impedance matching Q

Sensitivity decreases monotonically with increasing Q

Resonant operation mode with overtone excitation

Abstract

We have analyzed the response and noise-limited sensitivity of the radio-frequency single-electron transistor (RF-SET), extending the previously developed theory to the case of arbitrary large quality factor Q of the RF-SET tank circuit. It is shown that while the RF-SET response reaches the maximum at Q roughly corresponding to the impedance matching condition, the RF-SET sensitivity monotonically worsens with the increase of Q. Also, we propose a novel operation mode of the RF-SET, in which an overtone of the incident rf wave is in resonance with the tank circuit.