Effects of extended impurity perturbation in d-wave superconductor

Abstract

We describe the effects of electronic perturbation distributed on nearest neighbor sites to the impurity center in a planar \textit{d}-wave superconductor, in approximation of circular Fermi surface. Alike the behavior previously reported for point-like perturbation and square Fermi surface, the quasiparticle density of states $\rho (\epsilon )$ can display a resonance inside the gap (and very weak features from low symmetry representations of non-local perturbation) and asymptotically vanishes at $\epsilon \to 0$ as $\rho \sim \epsilon /{\ln }^2\epsilon$. The local suppression of SC order parameter in this model is found to be somewhat weaker than for an equivalent point-like (non-magnetic) perturbation and much weaker than for a spin-dependent (extended) perturbation.

arXiv comment7 pages, 5 figures, some minor typos and the curves in Fig. 5 corrected

References in corpus (10)

• Impurity-Induced Virtual Bound States in d-Wave Superconductors
• Evolution of the Fermi surface with carrier concentration in Bi_2Sr_2CaCu_2O_{8+δ}
• Impurity in a d-wave superconductor: Kondo effect and STM spectra
• Fermi Surface and Band Dispersion in La2-xSrxCuO4
• Impurity scattering and localization in $d$-wave superconductors
• Non-magnetic impurities in two dimensional superconductors
• Inhomogeneous order-parameter suppression in disordered d-wave superconductors
• Low-energy quasiparticle states near extended scatterers in d-wave superconductors and their connection with SUSY quantum mechanics
• Comment on ``BCS to Bose-Einstein crossover phase diagram at zero temperature for a d_{x^2-y^2} order parameter superconductor: Dependence on the tight-binding structure''
• Magnetic effect from non-magnetic impurity in superconducting CuO_{2} plane

Cited by in corpus (1)

• Impurity effects on electronic transport in ferropnictide superconductors