Impurity scattering and localization in $d$-wave superconductors
Condensed Matter
2009-10-28 v1
Abstract
Strong evidence is presented for the localization of low energy quasiparticle states in disordered -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 sites. Localized states are identified by probing their sensitivity to the boundary conditions and by analyzing the finite size dependence of inverse participation ratios.
Keywords
Cite
@article{arxiv.cond-mat/9604188,
title = {Impurity scattering and localization in $d$-wave superconductors},
author = {M. Franz and C. Kallin and A. J. Berlinsky},
journal= {arXiv preprint arXiv:cond-mat/9604188},
year = {2009}
}
Comments
4 pages REVTeX with 2 embedded .ps figures; submitted to PRB as Rapid Communication