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We identified quasiparticle states at well-defined energies inside thesuperconducting gap of the electron system at the LaAlO$_3$-SrTiO$_3$ interfaceusing tunneling spectroscopy. The states are found only in a number of samplesand depend upon the thermal-cycling history of the samples. The states consistof a peak at zero energy and other peaks at finite energies, symmetricallyplaced around zero energy. These peaks disappear, together with thesuperconducting gap, with increasing temperature and magnetic field. We discussthe likelihood of various physical mechanisms that are known to cause in-gapstates in superconductors and conclude that none of these mechanisms can easilyexplain the results. The conceivable scenarios are the formation of Majoranabound states, Andreev bound states, or the presence of an odd-frequency spintriplet component in the superconducting order parameter.

In-gap features in superconducting LaAlO$_3$-SrTiO$_3$ interfaces observed by tunneling spectroscopy