Impurity scattering and localization in d-wave superconductors

M. Franz; C. Kallin; A. J. Berlinsky

doi:10.1103/PhysRevB.54.R6897

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Impurity scattering and localization in d-wave superconductors

M. Franz, C. Kallin, A. J. Berlinsky

DOI 10.1103/PhysRevB.54.R6897 · Physical Review B

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Abstract

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 nonmagnetic impurities, we carry out a fully self-consistent numerical diagonalization of the BdG equations on finite clusters containing up to 50×50 sites. Localized states are identified by probing their sensitivity to the boundary conditions and by analyzing the finite-size dependence of inverse participation ratios.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O7-x Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
YBa2Cu3O6 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown