Spatial dependence of the superconducting order parameter near an Anderson impurity
Heesang Kim, Paul Muzikar
DOI 10.1103/PhysRevB.48.3933 · Physical Review B
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Abstract
We develop a general theory for the local environment of a magnetic impurity in a superconductor, using an Anderson model to describe the impurity. We can thus cover many regimes (i.e, Kondo, mixed valence) of physical interest. A general formula expressing the perturbed order parameter, δΔ(q), in terms of the impurity t matrix is derived; this formula is then used to derive a simple expression, valid as T→Tc, relating the total volume integral of δΔ(r) to the change in Tc with impurity concentration. Finally, explicit curves for δΔ(r) are computed for the Hartree-Fock limit.
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