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Abstract:
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. (C) 2006 Elsevier
B.V. All rights reserved.
