Applying a three-band model and the random phase approximation, we theoretically study the spin excitations in nickelate superconductors, which have been newly discovered. The spin excitations were found to be incommensurate in the low energy region. The spin resonance phenomenon emerged as the excitation energy increased. The intensity can be maximized at the incommensurate or commensurate momentum, depending on the out-of-plane momentum. The spin excitations reverted to incommensurate at higher energies. We also discuss the similarities and differences in the spin excitations of nickelate and cuprate superconductors. Our predicted results can be later validated in inelastic neutron scattering experiments.

中文翻译：

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镍酸盐超导体中的自旋激发

应用三频带模型和随机相位近似，我们从理论上研究了新发现的镍酸盐超导体中的自旋激发。发现自旋激发在低能量区域是不相称的。随着激发能的增加，出现了自旋共振现象。根据平面外的动量，强度可以在不相称或相称的动量下最大化。自旋激发在较高能量下恢复为不相称。我们还将讨论镍酸盐和铜酸盐超导体的自旋激发的异同。我们的预测结果可以在非弹性中子散射实验中得到验证。