Gate-tunable superconducting 2DEG at the amorphous LaAlO3/SrTiO3 interface*

We investigate superconductivity in Hall-bar devices patterned at the amorphous LaAlO$_{3}$/SrTiO$_{3}$ interface. We find a critical temperature of 360 mK, which is gate-tunable to up to 460 mK, higher than is usually found in its crystalline equivalent. We measure the phase diagram and investigated the 2DEG confinement and its gate-dependence by probing the critical parallel and perpendicular magnetic fields using a vector magnet system. We find that the Ginzburg-Landau coherence length is larger than the thickness of the layer of superconducting electrons, confirming its two-dimensional nature.