Impurity scattering and localization in $d$-wave superconductors

Details Impurity scattering and localization in $d$-wave superconductors Impurity scattering and localization in $d$-wave superconductors

1996-04-30

arxiv.org/abs/cond-mat/9604188v1

Physics

Condensed Matter

4 pages REVTeX with 2 embedded .ps figures; submitted to PRB as Rapid Communication

Scientific paper

10.1103/PhysRevB.54.R6897

Strong evidence is presented for the localization of low energy quasiparticle states in disordered $d$-wave superconductors. Within the framework of the Bogoliubov-de Gennes (BdG) theory applied to the extended Hubbard model with a finite concentration of non-magnetic impurities, we carry out a fully self-consistent numerical diagonalization of the BdG equations on finite clusters containing up to $50\times 50$ sites. Localized states are identified by probing their sensitivity to the boundary conditions and by analyzing the finite size dependence of inverse participation ratios.

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