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The superconductor at the LaAlO3-SrTiO3 interface provides a model system forthe study of two-dimensional superconductivity in the dilute carrier densitylimit. Here we experimentally address the pairing mechanism in thissuperconductor. We extract the electron-phonon spectral function from tunnelingspectra and conclude, without ruling out contributions of further pairingchannels, that electron-phonon mediated pairing is strong enough to account forthe superconducting critical temperatures. Furthermore, we discuss theelectron-phonon coupling in relation to the superconducting phase diagram. Theelectron-phonon spectral function is independent of the carrier density, exceptfor a small part of the phase diagram in the underdoped region. The tunnelingmeasurements reveal that the increase of the chemical potential with increasingcarrier density levels off and is zero in the overdoped region of the phasediagram. This indicates that the additionally induced carriers do not populatethe band that hosts the superconducting state and that the superconductingorder parameter therefore is weakened by the presence of charge carriers inanother band.

Electron-phonon Coupling and the Superconducting Phase Diagram of the LaAlO3-SrTiO3 Interface