Description of Spin and Charge Domain Walls in Doped Perovskite-Type3dTransition-Metal Oxides Based on Superexchange Interaction

Spin and charge ordered states with domain walls (DW) in two- and three-dimensional perovskite-type $3d$ transition-metal oxides have been investigated. We show that the relative stability of the DW perpendicular to the $(1,0,0)$, $(1,1,0)$, and $(1,1,1)$ directions in three dimensions and those along the $(1,0)$ and $(1,1)$ directions in two dimensions is systematically and qualitatively understood in terms of superexchange interaction.