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

Interaction effects on the conductance peak height statistics in quantum dots