Abstract

The Kondo single-ion state is real-space spin-singlet pairing of electrons. The Kondo-lattice (KL) state may be nearly-real-space Kondo pairing of electrons. Such pairing is incoherent and not superconductivity because the number of pairs is locally almost certain, causing the phase of the pairing wave function to be independently uncertain everywhere. Long-range phase coherence and e ∗ = 2 e superconductivity can occur in second-order pairing of two single-particle states determined by the presence of incoherent Kondo pairing. The two-band resonating-valence-bond (RVB) system is essentially equivalent to Kondo pairing in a Kondo lattice. T c for superconductivity due to second-order pairing mediated by magnetic excitations of the KL or RVB normal state would be T KL e -1 λM rather than T KL, or equivalently T RVB, or ω Debye e -1 λph .

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