Low-energy quasiparticle states near extended scatterers in d-wave superconductors and their connection with SUSY quantum mechanics

Details Low-energy quasiparticle states near extended scatterers in d-wave superconductors and their connection with SUSY quantum mechanics Low-energy quasiparticle states near extended scatterers in d-wave superconductors and their connection with SUSY quantum mechanics

1999-07-16

arxiv.org/abs/cond-mat/9907245v1

Phys. Rev. Lett. 83, 5571 (1999)

Physics

Condensed Matter

Superconductivity

5 pages

Scientific paper

10.1103/PhysRevLett.83.5571

Low-energy quasiparticle states, arising from scattering by single-particle potentials in d-wave superconductors, are addressed. Via a natural extension of the Andreev approximation, the idea that sign-variations in the superconducting pair-potential lead to such states is extended beyond its original setting of boundary scattering to the broader context of scattering by general single-particle potentials, such as those due to impurities. The index-theoretic origin of these states is exhibited via a simple connection with Witten's supersymmetric quantum-mechanical model.

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