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The two dimensional conducting interfaces in SrTiO$_3$-based systems areknown to show a variety of coexisting and competing phenomena in a complexphase space. Magnetoresistance measurements, which are typically used toextract information about the various interactions in these systems, must beinterpreted with care, since multiple interactions can contribute to theresistivity in a given range of magnetic field and temperature. Here we reviewall the phenomena that can contribute to transport in SrTiO$_3$-basedconducting interfaces at low temperatures, and discuss possible ways todistinguish between various phenomena. We apply this analysis to themagnetoresistance data of (111) oriented(La$_{0.3}$Sr$_{0.7}$)(Al$_{0.65}$Ta$_{0.35}$)/STO (LSAT/STO) heterostructuresin perpendicular field, and find an excess negative magnetoresistancecontribution which cannot be explained by weak localization alone. We arguethat contributions from magnetic scattering as well as electron-electroninteractions can provide a possible explanation for the observedmagnetoresistance.

Low temperature magnetoresistance of (111) (La$_{0.3}$Sr$_{0.7}$)(Al$_{0.65}$Ta$_{0.35}$)/SrTiO$_3$