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In this work we report the appearence of a large perpendicular magneticanisotropy (PMA) in Fe$_{1-x}$Ga$_x$ thin films grown onto ZnSe/GaAs(100). Thisarising anisotropy is related to the tetragonal metastable phase in as-grownsamples recently reported [M. Eddrief {\it et al.}, Phys. Rev. B {\bf 84},161410 (2011)]. By means of ferromagnetic resonance studies we measured PMAvalues up to $\sim$ 5$\times$10$^5$ J/m$^3$. PMA vanishes when the cubicstructure is recovered upon annealing at 300$^{\circ}$C. Despite the importantvalues of the magnetoelastic constants measured via the cantilever method, theconsequent magnetoelastic contribution to PMA is not enough to explain theobserved anisotropy values in the distorted state. {\it Ab initio} calculationsshow that the chemical ordering plays a crucial role in the appearance of PMA.Through a phenomenological model we are able to explain that an excess of nextnearest neighbour Ga pairs (B$_2$-like ordering) along the perpendiculardirection arises as the source of PMA in Fe$_{1-x}$Ga$_x$ thin films.

Large perpendicular magnetic anisotropy in magnetostrictive Fe$_{1-x}$Ga$_x$ thin films