A universal scaling behavior in magnetic resonance peak in high temperature superconductivity

Abstract

Eminent inelastic neutron scattering (INS) measurements of high temperature cuprates currently lacking theoretical interpretations are the observed temperature dependence of magnetic resonance peak and linear scaling relation between the resonance peak energy, [Formula: see text] and the superconducting transition temperature, [Formula: see text]. Using our slave-boson approach of the [Formula: see text]–[Formula: see text] Hamiltonian (Phys. Rev. 64, 052501 (2001)) for this study, we show that starting from the pseudogap temperature [Formula: see text], the magnetic resonance peak increases with decreasing temperature, revealing its inflection point at [Formula: see text] and that spin pairing correlations are responsible for [Formula: see text]-wave superconductivity. We find that there exists a universal linear scaling behavior of [Formula: see text], irrespective of the Heisenberg exchange coupling.