Pairing Correlations Near a Kondo-Destruction Quantum Critical Point

Abstract

Motivated by the unconventional superconductivity observed in heavy-fermion metals, we investigate pairing susceptibilities near a continuous quantum phase transition of the Kondo-destruction type. We solve two-impurity Bose-Fermi Anderson models with Ising and Heisenberg forms of the interimpurity exchange interaction using continuous-time quantum Monte-Carlo and numerical renormalization-group methods. Each model exhibits a Kondo-destruction quantum critical point separating Kondo-screened and local-moment phases. For antiferromagnetic interimpurity exchange interactions, singlet pairing is found to be enhanced in the vicinity of the transition. Implications of this result for heavy-fermion superconductivity are discussed.

5 pages, 5 figures + supplementary material 2 page, 2 figures: Replaced with published version

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• Unconventional and conventional quantum criticalities in CeRh${}_{0.58}$Ir${}_{0.42}$In${}_5$
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• Evidence for charge delocalization crossover in the quantum critical superconductor CeRhIn${}_5$
• Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
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