Spectral Statistics of Interacting Electrons in Chaotic Quantum Dots

We study the spectral statistics of interacting electrons in clean chaotic quantum dots by numerical diagonalization. We show that interacting particles in chaotic dots exhibit the same short-range level correlations, predicted by random matrix theory, as interacting electrons in disordered systems, while they differ from each other with respect to long-range correlations. We further find that, for the interacting system considered, indirect couplings between single Slater determinant states are important for a correct description of short-range level correlations.