Anisotropic superconducting properties of nanowires at the LaAlO$_3$/SrTiO$_3$ (110) interface*

The superconducting properties of nanowires created on anisotropic SrTiO$_3$ (110) surfaces were investigated. Nanowires are created using conductive AFM (c-AFM) lithography at the LaAlO$_3$/SrTiO$_3$(110) interface along the (001) and (1$\bar{1}$0) crystallographic directions. In these devices we observe anisotropic superconductivity. The upper critical magnetic field along the (001) and (1$\bar{1}$0) directions are found to be markedly different with a superconducting dome that is shifted for the two orientations. These observations can be explained by anisotropic orbital binding of Ti and O atoms or the differences in the spin-orbit coupling along the two different directions.