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Polarized neutron reflectometry measurements are presented exploring theevolution of ferrimagnetism in GdTiO$_3$ films as they are confined betweenSrTiO$_3$ layers of variable thicknesses. As GdTiO$_3$ films approach the thinlayer limit and are confined within a substantially thicker SrTiO$_3$ matrix,the TiO$_6$ octahedral tilts endemic to GdTiO$_3$ coherently relax toward theundistorted, cubic phase of SrTiO$_3$. Our measurements reveal that theferrimagnetic state within the GdTiO$_3$ layers survives as the TiO$_6$octahedral tilts in the GdTiO$_3$ layers are suppressed. Furthermore, our datasuggest that a magnetic dead layer develops within the GdTiO$_3$ layer at eachGdTiO$_3$/ SrTiO$_3$ interface. The ferrimagnetic moment inherent to the coreGdTiO$_3$ layers is negligibly (in models with dead layers) or only weakly (inmodels without dead layers) impacted as the octahedral tilt angles aresuppressed by more than 50$\%$ and the $t_{2g}$ bandwidth is dramaticallyrenormalized.

Octahedral tilt independent magnetism in confined GdTiO$_3$ films