Stripes formation: Antiphase and in-phase domain walls

For stripes of hole rich lines in the doped antiferromagnets, we investigate the competition between antiphase and in-phase domain-wall ground-state configurations. We argue that a phase transition must occur as a function of the electron/hole filling fraction of the domain wall. Due to transverse kinetic hole fluctuations, empty domain walls are always antiphase. At arbitrary electron filling fraction δ of the domain wall (and in particular for δ≈1/4 as in LaNdSrCuO), it is essential to account also for the transverse magnetic interactions of the electrons and their mobility along the domain wall.