Electron Phonon Coupling in Electron Versus Hole Doped Cuprates

There are significant differences in the atomic structure and electron behavior in electron doped parent compounds such as Nd2CuO4 versus hole doped parent compounds such as La2CuO4. One key difference is La2CuO4 has an apical oxygen above the Cu site, while Nd2CuO4 does not in the T' structure. We use density functional theory (DFT) and model hamiltonian methods to analyze the phonon modes and electron-phonon coupling (EPC) at various momentums to better elucidate the differences between hole and electron doped cuprates and investigate the role of the apical oxygens.