Two-step evolution of doping dependent antiferromagnetism and charge imbalance in multilayered cuprates

The properties of the charge imbalance and magnetism are investigated in the multilayered cuprates. The effective Hubbard constants are much reduced and show clear electron–hole asymmetry due to the screening effect. Phase diagrams are obtained, which may give the clue to search for the self-doped cuprates. An unexpected increase of the charge density upon doping in the layer with minority charge is predicted. The antiferromagnetism follows a two-step evolution with respective origin in the layer with minority charge, in contrast to the conventional doping dependence in the layer with major charge.