Conductance peak distributions in quantum dots at finite temperature: Signatures of the charging energy

We derive the finite temperature conductance peak distributions and peak-to-peak correlations for quantum dots in the Coulomb blockade regime assuming the validity of random-matrix theory. The distributions are universal, depending only on the symmetry class and the temperature measured in units of the mean level spacing, Δ. When the temperature is comparable to Δ several resonances contribute to the same conductance peak and we find significant deviations from the previously known $T\ll \Delta$ distributions. In contrast to the $T\ll \Delta$ case, these distributions show a strong signature of the charging energy and charge quantization on the dot.