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The heavy fermion CeMIn5 family with M = Co, Rh, Ir provide a prototypicalexample of strange superconductors with unconventional d-wave pairing andstrange metal normal state, emerged near an antiferromagnetic quantum criticalpoint. The microscopic origin of strange superconductor and its link toantiferromagnetic quantum criticality and strange metal state are still openissues. We propose a microscopic mechanism for strange superconductor, based onthe coexistence and competition between the Kondo correlation and the quasi-2dshort-ranged antiferromagnetic resonating-valence-bond spin-liquid near theantiferromagnetic quantum critical point via a large-N Kondo-Heisenberg modeland renormalization group analysis beyond the mean-field level. We find thecoexistence (competition) between the two types of correlations well explainsthe overall features of superconducting and strange metal state. The interplayof these two effects provides a qualitative understanding on howsuperconductivity emerges from the SM state and the observed superconductingphase diagrams for CeMIn5 near the anti-ferromagnetic quantum critical point.

Strange superconductivity near an antiferromagnetic heavy fermion quantum critical point