Heterointerfaces with symmetry breaking and strong interfacial coupling could
give rise to the enormous exotic quantum phenomena. Here, we report on the
experimental observation of intriguing two-dimensional superconductivity with
superconducting transition temperature (Tcβ) of 3.8 K at heterostructure of
Mott insulator Ti2βO3β and polar semiconductor GaN revealed by the
electrical transport and magnetization measurements. Furthermore, at the verge
of superconductivity we find a wide range of temperature independent resistance
associated with vanishing Hall resistance, demonstrating the emergence of
quantum metallic-like state with the Bose-metal scenario of the metallic phase.
By tuning the thickness of Ti2βO3β films, the emergence of quantum
metallic-like state accompanies with the appearance of superconductivity as
decreasing in temperature, implying that the two-dimensional superconductivity
is evolved from the quantum metallic-like state driven by the cooperative
effects of the electron correlation and the interfacial coupling between
Ti2βO3β and polar GaN. These findings provide a new platform for the study
of intriguing two-dimensional superconductivity with a delicate interplay of
the electron correlation and the interfacial coupling at the heterostructures,
and unveil the clues of the mechanism of unconventional superconductivity.Comment: 17 pages, 4 figure