Brillouin-Wigner theory of mixed-valence rare-earth impurities in Bardeen-Cooper-Schrieffer superconductors
Jun Li, Changde Gong, Arno Holz
DOI 10.1103/PhysRevB.36.5230 · Physical Review B
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Abstract
We present a Brillouin-Wigner-type theory for the mixed-valence rare-earth impurities in Bardeen-Cooper-Schrieffer (BCS) superconductors. The impurity is described by a degenerate Anderson model with two configurations 4f0 and 4f1 in the infinite-correlation limit. Two important quantities characterizing the superconducting state, i.e., the reduced transition temperature Tc/Tc0 and the reduced specific-heat jump ΔC/ΔC0, are calculated as functions of the impurity concentration x and the valence of the 4f1 configuration nf. The Tc/Tc0 versus x curves obtained display exponential shapes which become steeper quickly with larger nf. The ΔC/ΔC0 versus Tc/Tc0 curves show upward deviation with respect to the BCS law of corresponding states in contrast to the case of magnetic impurities. The theory is also fitted to the data of dilute superconducting Th1−xCex alloys with a comparison to a previous Hartree-Fock theory.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Th1-xCex Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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