Effects of extended impurity perturbation in d-wave superconductor

Physics – Condensed Matter – Superconductivity

Scientific paper

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

Scientific paper

10.1103/PhysRevB.71.014516

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.

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