Magnetic Impurities in d-wave Superconductors

Details Magnetic Impurities in d-wave Superconductors Magnetic Impurities in d-wave Superconductors

1999-05-24

arxiv.org/abs/cond-mat/9905349v1

Physics

Condensed Matter

Superconductivity

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.60.9744

We solve the problem of a magnetic impurity in a $d_{x^2-y^2}$-wave superconductor by a variational method. A moment is found to exist in the superconducting state only if the Kondo-temperature in the normal state is larger than the maximum in the superconducting gap-function. If a moment exists in the superconducting state, and provided spin-orbit coupling is non-zero, it induces a time-reversal breaking superconducting state locally around the inpurity which is a linear combination of the $d_{x^2-y^2}$ and $d_{xy}$ states. The current pattern around the impurity in this state are evaluated.

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