Doping dependence of magnetic resonance energy in bilayer cuprate superconductors

Abstract

Within the framework of kinetic energy driven superconductivity, we have studied the dynamical spin response of the bilayer cuprate superconductors in the superconducting state over a wide doping range. It is shown that the dynamical spin structure factor is split into two non-degenerate modes, odd and even modes, respectively, due to the inter-layer magnetic interaction in a bilayer unit, which leads that a dome-like shape of the doping dependence of the commensurate magnetic resonance energy appears in the odd symmetry, while the commensurate magnetic resonance energy in the even symmetry decreases with increasing doping, in qualitative agreement with the inelastic neutron scattering experimental data.