Bound States for a Magnetic Impurity in a Superconductor

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 quasi-particles of the Bogoliubov transformation in BCS theory. The reflection S-matrix exhibits Andreev scattering, and the existence of bound states of the quasi-particles with the impurity lying inside the superconducting gap.

7 pages, Plain TeX

References in corpus (2)

• Overscreening of magnetic impurities in $d_{x^2-y^2}$ wave superconductors
• Exactly Solvable Model of Superconducting Magnetic Alloys

Cited by in corpus (1)

• Magnetization and dimerization profiles of the cut two-leg spin ladder and spin-1 chain