
We study the localization properties of disordered d-wave superconductors by means of the fermionic replica trick method. We derive the effective non-linear sigma-model describing the diffusive modes related to spin transport which we analyze by the Wilson-Polyakov renormalization group. A lot of different symmetry classes are considered within the same framework. According to the presence or the absence of certain symmetries, we provide a detailed classification for the behavior of some physical quantities, like the density of states, the spin and the quasiparticle charge conductivities. Following the original Finkel'stein approach, we finally extend the effective functional method to include residual quasiparticle interactions, at all orders in the scattering amplitudes. We consider both the superconducting and the normal phase, with and without chiral symmetry, which occurs in the so called two-sublattice models.
63 pages, 8 figures
Superconductivity (cond-mat.supr-con), Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics, Statistical Mechanics (cond-mat.stat-mech), Condensed Matter - Superconductivity, Transport processes in time-dependent statistical mechanics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Exactly solvable models; Bethe ansatz, Statistical mechanics of superconductors, Condensed Matter - Statistical Mechanics
Superconductivity (cond-mat.supr-con), Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics, Statistical Mechanics (cond-mat.stat-mech), Condensed Matter - Superconductivity, Transport processes in time-dependent statistical mechanics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Exactly solvable models; Bethe ansatz, Statistical mechanics of superconductors, Condensed Matter - Statistical Mechanics
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