Spin fluctuation pairing in the SDW state of electron-doped cuprates

The proximity of the antiferromagnetic state is considered to give rise to superconductivity in systems such as electron doped cuprates and iron-pnictide materials. We generalize the spin bag theory proposed by Schrieffer et al\footnote{J. R. Schrieffer, X. G. Wen, and S. C. Zhang, ``Dynamic spin fluctuations and the bag mechanism of high-$T_c$ superconductivity," Phys. Rev. B, 39, pp. 11663-11679 (1989).}, and investigate the effects on pairing of possible electron pockets and simultaneous electron and hole pockets. We also take into account the particle-hole excitations which arise from the itinerant nature of the system and the effects of next-nearest hopping. The contributions of the charge-fluctuation channel, amplitude and orientational spin-fluctuation channels to superconductivity will be discussed.