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Bound states for a magnetic impurity in a superconductor

Zorawar S. Bassi, André LeClair

DOI 10.1103/PhysRevB.60.615 · Physical Review B

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Abstract

We discuss a solvable model describing an Anderson-like impurity in a BCS superconductor. The model can be mapped onto an Ising field theory in a boundary magnetic field, with the Ising fermions being the quasiparticles of the Bogoliubov transformation in BCS theory. The reflection S matrix exhibits Andreev scattering and the existence of bound states of the quasiparticles with the impurity lying inside the superconducting gap.

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