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We studied the charge-orbital ordering in the superlattice of charge-orderedinsulating Pr$_{0.5}$Ca$_{0.5}$MnO$_3$ and ferromagnetic metallicLa$_{0.5}$Sr$_{0.5}$MnO$_3$ by resonant soft x-ray diffraction. Atemperature-dependent incommensurability is found in the orbital order. Inaddition, a large hysteresis is observed that is caused by phase competitionbetween insulating charge ordered and metallic ferromagnetic states. Nomagnetic phase transitions are observed in contrast to bulk, confirming theunique character of the superlattice. The deviation from the commensurateorbital order can be directly related to the decrease of ordered-layerthickness that leads to a decoupling of the orbital-ordered planes along the caxis.

Phase competitions in epitaxial Pr$_{0.5}$Ca$_{0.5}$MnO$_3$/La$_{0.5}$Sr$_{0.5}$MnO$_3$ superlattices