“…This result is qualitatively consistent with experiments. 23,24,25,26,27,28 While in the framework of the pure SC state with d x 2 −y 2 -wave and/or DP+HH, 30,31,32 , though an extended region of a commensurate spin fluctuation also exists, it evolves into an incommensurate spin fluctuation at low frequencies, which is not consistent experiments. Therefore, our result suggests that the inclusion of the two-band effect resulting from the coexisting AF and SC orders is important to consistently account for both the spin dynamics and the non-monotonic gap behavior in the electron-doped cuprates.…”