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Ferromagnetic insulating La$_2$CoMnO$_{6-\epsilon}$ (LCMO) epitaxial thinfilms grown on top of SrTiO$_3$ (001) substrates presents a strong magneticanisotropy favoring the out of plane orientation of the magnetization with astrong anisotropy field ($\sim 70$ kOe for film thickness of about 15 nm) andwith a coercive field of about 10 kOe. The anisotropy can be tuned by modifyingthe oxygen content of the film which indirectly has two effects on the unitcell: i) change of the orientation of the LCMO crystallographic axis over thesubstrate (from c in-plane to c out-of-plane) and ii) shrinkage of the out ofplane cell parameter, which implies increasing tensile strain of the films. Incontrast, LCMO films grown on (LaAlO$_3$)$_{0.3}$(Sr$_2$AlTaO$_6$)$_{0.7}$ andLaAlO$_3$ substrates (with a larger out-of-plane lattice parameter andcompressive stress) display in-plane magnetic anisotropy. Thus, we link thestrong magnetic anisotropy observed in La$_2$CoMnO$_{6-\epsilon}$ to therelation between in-plane and out-of-plane parameters and so to the filmstress.

Strain-induced perpendicular magnetic anisotropy in La$_2$CoMnO$_{6-\epsilon}$ thin films and its dependence with film thickness