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Magnetic impurities in d-wave superconductors

M. E. Simon, C. M. Varma

DOI 10.1103/PhysRevB.60.9744 · Physical Review B

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Abstract

We solve the problem of a magnetic impurity in a dx2−y2-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 nonzero, it induces a time-reversal breaking superconducting state locally around the inpurity which is a linear combination of the dx2−y2 and dxy states. The current pattern around the impurity in this state is evaluated.

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