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Low-Energy Quasiparticle States near Extended Scatterers in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">d</mml:mi></mml:math>-Wave Superconductors and Their Connection with SUSY Quantum Mechanics
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 …