Title: Quantum metallic state at the titanium sesquioxide heterointerface

Abstract: The emergence of the quantum metallic state marked by a saturating finite electrical resistance in the zero-temperature limit in a variety of two-dimensional superconductors injects an exciting momentum to the realm of unconventional superconductivity. Despite much research efforts over last few decades, there is not yet a general consensus on the nature of this unexpected quantum metal. Here, we report the observation of a unique quantum metallic state within the hallmark of Bose-metal characterized by a saturating resistance and a simultaneously vanishing Hall resistance in the titanium sesquioxide heterointerface superconductor Ti$_2$O$_3$/GaN. Remarkably, the quantum bosonic metallic state tuned by a magnetic field in the vicinity of the two-dimensional superconductivity-metal transition persists in the normal phase, suggesting the existence of composite bosons, formed by electron Cooper pairs, even in the normal phase. Our findings indicate the existence of preformed electron Cooper pairs in the normal phase of heterointerface superconductors, and shed new light on the pairing mechanism underlying unconventional superconductivity.