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Recent experiments in quantum critical heavy fermion metals have pushed tothe fore the question about whether antiferromagnetic fluctuations can promoteboth spin-singlet and spin-triplet superconductivity. Here we address the issuethrough non-perturbative calculations in antiferromagnetically correlated Kondosystems. We identify Kondo-destruction quantum critical points in both theSU(2) symmetric and Ising-anisotropic cluster Bose-Fermi Anderson models. Thespin-singlet pairing correlations are significantly enhanced near the quantumcritical point in the SU(2) case; however, with adequate but still realisticdegree of Ising anisotropy, the spin-triplet pairing correlations arecompetitive. Our results demonstrate that spin-flip processes strengthen thespin-singlet pairing at the Kondo-destruction quantum critical points, andpoint towards a way for antiferromagnetic correlations to drive spin-tripletpairing. Further implications of our findings in the broader context ofstrongly correlated superconductivity are discussed.

Spin-singlet and spin-triplet pairing correlations in antiferromagnetically coupled Kondo systems