Statistics of Coulomb blockade peak spacings for a partially open dot

TL;DR

This paper investigates how electron wave function randomness in a quantum dot affects conductance peak fluctuations, showing that these effects grow with junction conductance and correlate with peak height variations.

Contribution

It introduces a detailed analysis of how wave function randomness influences Coulomb blockade peak spacings and their correlation with conductance peak heights.

Findings

Wave function randomness contributes significantly to peak spacing fluctuations.

Fluctuations grow with junction conductance and become comparable to spectrum randomness.

Peak spacings are correlated with conductance peak height fluctuations.

Abstract

We show that randomness of the electron wave functions in a quantum dot contributes to the fluctuations of the positions of the conductance peaks. This contribution grows with the conductance of the junctions connecting the dot to the leads. It becomes comparable with the fluctuations coming from the randomness of the single particle spectrum in the dot while the Coulomb blockade peaks are still well-defined. In addition, the fluctuations of the peak spacings are correlated with the fluctuations of the conductance peak heights.