Coexisting superconductivity and charge-density wave in hydrogen-doped titanium diselenide via ionic liquid gating-induced protonation

The doping of correlated materials with various atomic and molecular species is a staple in the tuning and understanding of their electronic ground states and in the engineering of exotic quantum phenomena. In particular, the recent discovery of near-to-room temperature superconductivity in hydrides under pressure has highlighted the potential of hydrogen as a dopant and to tune the electronic and the phononic spectra of a material. Here, we demonstrate the non-volatile control of the electronic ground state of octahedral titanium diselenide (1T-TiSe$_2$) by means of electric field-driven hydrogen intercalation via the ionic liquid gating method. We show that in H$_x$TiSe$_2$ charge-density waves and superconductivity coexist through most of the phase diagram, with nearly doping-independent transition temperatures. The superconducting phase of H$_x$TiSe$_2$ is gapless-like and possibly multi-band in nature, setting it apart from what observed in TiSe$_2$ via electrostatic gating and copper- or lithium- intercalation. The uniqueness of hydrogen doping is supported by ab initio calculations showing that its impact is not limited to a rigid electron doping of pristine TiSe$_2$, but it can attain a full reconstruction of the band structure. These findings open a new route towards high-temperature superconductivity in hydrogen-rich layered compounds at ambient pressure.Comment: Main text: 11 pages, 5 figures; Supplementary: 10 pages, 8 figure