Mesoscopic competition of superconductivity and ferromagnetism: conductance peak statistics for metallic grains.

We investigate the competition between superconductivity and ferromagnetism in chaotic ultrasmall metallic grains in a regime where both phases can coexist. We use an effective Hamiltonian that combines a BCS-like pairing term and a ferromagnetic Stoner-like spin exchange term. We study the transport properties of the grain in the Coulomb-blockade regime and identify signatures of the coexistence of pairing and exchange correlations in the mesoscopic fluctuations of the conductance peak spacings and peak heights.