Anomalous Zeeman effect in ${\mathrm{SrTiO}}_3$ and its possible all-electric detection

We show that the interplay between spin-orbit coupling and cubic symmetry breaking in ${\mathrm{SrTiO}}_3$ results in a highly anomalous Zeeman effect of conduction electrons substantially different among the three conduction subbands and strongly dependent on their splitting. This effect can be measured via electrically driven spin resonance enabled by the interplay between electron hopping and spin-orbit coupling, and enhanced by the near degeneracy of the conduction subbands. The proposed effects can provide a unique insight into the electronic properties of ${\mathrm{SrTiO}}_3$ and its heterostructures.