Distribution of the conductance peak height parametric derivatives in the Coulomb-blockade regime

We propose the distributions of the conductance parametric:derivatives as statistical measures to study the conductance fluctuations at the Coulomb blockade regime. We assume the electronic dynamics of the dot to be chaotic and model its Hamiltonian by random matrices: For the unitary case, we obtain the universal distribution of conductance slopes at peak heights analytically. Other distributions are obtained numerically. Our theoretical results can be verified with the available experimental:data, providing additional insight into the validity of the single-particle theory for the Coulomb blockade regime.