Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
Motivated by recent attention to a potential antiferromagnetic quantum critical point at x c ~ 0.19, we have used inelastic neutron scattering to investigate the low-energy spin excitations in crystals of La 2–x Sr x CuO 4 bracketing x c . We observe a peak in the normal-state spin-fluctuation weight at ~ 20 meV for both x = 0.21 and 0.17, inconsistent with quantum critical behavior. The presence of the peak raises the question of whether low-energy spin fluctuations limit the onset of superconducting order. Empirically evaluating the spin gap Δ spin in the superconducting state, we find that Δ spin is equal to the coherent superconducting gap Δ c determined by electronic spectroscopies. To test whether this is a general result for other cuprate families, we have checked through the literature and find that Δ c ≤ Δ spin for cuprates with uniform d-wave superconductivity. Furthermore, we discuss the implications of this result.