Title: Electrostatic field-driven supercurrent suppression in ionic-gated metallic Josephson nanotransistors

Abstract: Recent experiments have shown the possibility to tune the electron transport properties of metallic nanosized superconductors through a gate voltage. These results renewed the longstanding debate on the interaction between intense electrostatic fields and superconductivity. Indeed, different works suggested competing mechanisms as the cause of the effect: unconventional electric field-effect or quasiparticle injection. By realizing ionic-gated Josephson field-effect nanotransistors (IJoFETs), we provide the conclusive evidence of electrostatic field-driven control of the supercurrent in metallic nanosized superconductors. Our Nb IJoFETs show bipolar giant suppression of the superconducting critical current up to $\sim45\%$ with negligible variation of both the critical temperature and the normal-state resistance, in a setup where both overheating and charge injection are impossible. The microscopic explanation of these results calls upon a novel theory able to describe the non-trivial interaction of static electric fields with conventional superconductivity.