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We calculated the weak localization correction to the density of thetransmission eigenvalues in the case of chaotic quantum dots in the frameworkof Random Matrix Theory including the parametric dependence on the magneticfield and spin-orbit coupling. The result is interpreted in terms of spinsinglet and triplet Cooperon modes of conventional diagrammatic perturbationtheory. As simple applications, we obtained the weak localization correction tothe conductance, the shot noise power and the third cumulant of thedistribution of the transmitted charge.Comment: 7 pages, 2 figure

physical review. b, condensed matter and materials physics

Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot