Correlations of conductance peaks and transmission phases in deformed quantum dots

TL;DR

This paper studies how conductance peaks and transmission phases in deformed quantum dots are correlated, revealing persistent single-particle levels and phase lapses, with implications for experimental observations.

Contribution

It demonstrates the existence of preferred single-particle levels that influence Coulomb blockade resonances and transmission phases in deformed quantum dots.

Findings

Preferred single-particle levels remain near the Fermi energy over a range of gate voltages.

Correlation of Coulomb blockade peak heights increases with temperature.

Transmission phase exhibits $$ lapses between resonances.

Abstract

We investigate the Coulomb blockade resonances and the phase of the transmission amplitude of a deformed ballistic quantum dot weakly coupled to leads. We show that preferred single--particle levels exist which stay close to the Fermi energy for a wide range of values of the gate voltage. These states give rise to sequences of Coulomb blockade resonances with correlated peak heights and transmission phases. The correlation of the peak heights becomes stronger with increasing temperature. The phase of the transmission amplitude shows lapses by $\pi$ between the resonances. Implications for recent experiments on ballistic quantum dots are discussed.