title: Interplay between density and superconducting quantum critical fluctuations.
abstract: We consider the case of a density-driven metal-superconductor transition in the proximity of an electronic phase separation. In particular, we investigate the interplay between superconducting fluctuations and density fluctuations, which become quantum critical when the electronic phase separation vanishes at zero temperature into a quantum critical point. In this situation, the critical dynamical density fluctuations strongly affect the dynamics of the Cooper-pair fluctuations, which acquire a more singular character with a z  =  3 dynamical critical index. This gives rise to a scenario that possibly rules the disappearance of superconductivity when the electron density is reduced by electrostatic gating at the LaAlO3/SrTiO3 interface.
authors.affiliation: Dipartimento di Fisica, Università di Roma Sapienza, Piazzale Aldo Moro 5, I-00185 Roma, Italy. Istituto dei Sistemi Complessi CNR and CNISM Unità di Roma Sapienza, 00185 Roma, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Caprara
authors.forename: N
authors.initials: N
authors.lastname: Bergeal
authors.forename: J
authors.initials: J
authors.lastname: Lesueur
authors.forename: M
authors.initials: M
authors.lastname: Grilli