Disordered d-wave superconductors with interactions

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.

63 pages, 8 figures

References in corpus (1)

• Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices

Cited by in corpus (4)

• The electronic properties of graphene
• Metal-insulator transition from combined disorder and interaction effects in Hubbard-like electronic lattice models with random hopping
• Metal-insulator transition in Hubbard-like models with random hopping
• Role of the impurity-potential range in disordered d-wave superconductors