Coexistence of the antiferromagnetic and superconducting order and its effect on spin dynamics in electron-doped high-T(c) cuprates.

In the framework of the slave-boson approach to the t-t'-t''-J model, it is found that for electron-doped high- T(c) cuprates, the staggered antiferromagnetic (AF) order coexists with the superconducting (SC) order in a wide doping level ranged from underdoped to nearly optimally doped at the mean-field level. In the coexisting phase, it is revealed that the spin response is commensurate in a substantial frequency range below a crossover frequency ω(c) for all dopings considered, and it switches to the incommensurate structure when the frequency is higher than ω(c). This result is in agreement with the experimental measurements. Comparison of the spin response between the coexisting phase and the pure SC phase with a d(x(2)-y(2))-wave pairing plus a higher harmonics term (DP+HH) suggests that the inclusion of the two-band effect is important to consistently account for both the dispersion of the spin response and the non-monotonic gap behavior in the electron-doped cuprates.