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Kondo effect in gapless superconductors

Lech S. Borkowski, P. J. Hirschfeld

DOI 10.1103/PhysRevB.46.9274 · Physical Review B

T1

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Abstract

We present a self-consistent theory of Kondo impurities in gapless unconventional superconductors valid in the Fermi-liquid regime T≲TK. The impurity degrees of freedom are treated using the large-N slave-boson technique, leading to tractable equations describing the interplay between the Kondo effect and superconductivity. We show that for a single impurity in a superconductor with density of states N(ω)∼‖ω‖r, there exists a critical coupling Jc below which the Kondo effect does not occur. However, for r≤1 or N=2 any finite concentration of impurities drives Jc→0. The theory provides microscopic support for phenomenological models of resonant impurity scattering in heavy-fermion systems.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
UPt3

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—Pressure not reportedunknown
UBe13

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—Pressure not reportedunknown
URu2Si2

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—Pressure not reportedunknown
CeCu2Si2

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—Pressure not reportedunknown

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