Long-range Coulomb effect on the antiferromagnetic ordering in electron-doped cuprate superconductors

Abstract

Using mean-field theory, we illustrate the long-range Coulomb effect on the antiferromagnetic ordering in the electron-doped cuprate superconductors. Because of the Coulomb exchange effect, the magnitude of the total next-nearest-neighbor hopping increases appreciably with increasing the electron doping concentration, raising the frustration to the antiferromagnetic ordering. This provides a possible explanation to the Fermi surface evolution in the electron-doped cuprate ${\mathrm{Nd}}_{2\ensuremath{-}x}{\mathrm{Ce}}_{x}\mathrm{Cu}{\mathrm{O}}_{4}$.