Model for magnetic flux patterns induced by the influence of in-plane magnetic fields on spatially inhomogeneous superconducting interfaces of LaAlO3-SrTiO3 bilayers.

The effect of spatial inhomogeneity on the properties of a two-dimensional noncentrosymmetric superconductor in an in-plane magnetic field is investigated, as it can be realized in LaAlO(3)-SrTiO(3) interfaces. We demonstrate that the spatial variation of Rashba spin-orbit coupling yields a local magnetic flux pattern due to the field-induced inhomogeneous helical phase. For sufficiently strong fields, vortices can nucleate at inhomogeneities of the Rashba spin-orbit coupling.