Weak localization correction to the density of transmission eigenvalues   in the presence of magnetic field and spin-orbit coupling for a chaotic   quantum dot
  We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of Random Matrix Theory including the parametric dependence on the magnetic field and spin-orbit coupling. The result is interpreted in terms of spin singlet and triplet Cooperon modes of conventional diagrammatic perturbation theory. As simple applications, we obtained the weak localization correction to the conductance, the shot noise power and the third cumulant of the distribution of the transmitted charge. 
Benjamin B\'eri and J\'ozsef Cserti