In 2004 Ohtomo and Hwang discovered the conducting interface between the two insulating non-magnetic oxide crystals LaAlO ₃ and SrTiO ₃. Since its discovery this interface has been under intense research both on the theoretical and on the experimental fronts. The carrier density of the interface was found to be gate tunable. This carrier density controls the superconducting temperature in a non-monotonic fashion. Surprisingly, along with the superconductivity, various probes discovered the presence of magnetism these two orders are considered to be mutually excluded. None of the reported experiments has yet been able to determine the full nature of the magnetic ground state of the interface.