Interaction effects on the conductance peak height statistics in quantum dots

Abstract

A random interaction matrix model is used to study the statistics of conductance peak heights in Coulomb blockade quantum dots. When the single-particle dynamics conserves time-reversal symmetry, the peak height statistics is insensitive to the interaction strength. But when the single-particle dynamics breaks time-reversal symmetry, the peak height statistics exhibits a crossover from unitary to orthogonal symmetry as the interaction strength increases. This crossover is driven by the time-reversal symmetry of the interaction. Our random interaction matrix model describes features of both the measured peak height and peak spacing statistics.