Phys. Rev. Lett. 83, 5571–5574 (1999)Low-Energy Quasiparticle States near Extended Scatterers in d-Wave Superconductors and Their Connection with SUSY Quantum MechanicsReceived 28 June 1999; published in the issue dated 27 December 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.5571
DOI:
10.1103/PhysRevLett.83.5571
PACS:
74.62.Dh, 03.65.Sq, 11.30.Pb, 74.72.-h
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