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The two-dimensional electron gas at the crystalline LaAlO$_{3}$/SrTiO$_{3}$(c-LAO/STO) interface has sparked large interest due to its exotic propertiesincluding an intriguing gate-tunable superconducting phase. While there isgrowing evidence of pronounced spatial inhomogeneity in the conductivity atSTO-based interfaces, the consequences for superconductivity remain largelyunknown. We study interfaces based on amorphous LAO top layers grown at roomtemperature (a-LAO/STO) and demonstrate a superconducting phase similar toc-LAO/STO, however, with a gate-tunable critical temperature of $460 \,\mathrm{mK}$, higher than any previously reported values for c-LAO/STO. Thedependence of the superconducting critical current on temperature, magneticfield and backgate-controlled doping is found to be consistently described by amodel of a random array of Josephson-coupled superconducting domains.

Evidence of weak superconductivity at the room-temperature grown LaAlO$_{3}$/SrTiO$_3$ interface