Stripes Induced by Orbital Ordering in Layered Manganites

Spin-charge-orbital ordered structures in doped layered manganites are investigated using an orbital-degenerate double-exchange model tightly coupled to Jahn-Teller distortions. In the ferromagnetic phase, unexpected diagonal stripes at $x$=$1/m$ ($m$=integer) are observed, as in recent experiments. These stripes are induced by the orbital degree of freedom, which forms a staggered pattern in the background. A $\pi$-shift in the orbital order across stripes is identified, analogous to the $\pi$-shift in spin order across stripes in cuprates. At $x$=1/4 and 1/3, another non-magnetic phase with diagonal static charge stripes is stabilized at intermediate values of the $t_{\rm 2g}$-spins exchange coupling.