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Weakly disordered two-dimensional (2D) superconductors can host richerquantum phase transitions than their highly-disordered counterparts. This isdue to the insertion of a metallic state in the transition between asuperconductor and an insulator. Disorders were predicted to show profoundinfluences on the boundaries surrounding this intermediate metallic phase,affecting the existence of a metallic ground state called Bose metal and thedynamic processes in a quantum Griffiths state. Here we present a study onquantum phase transitions of a clean 2D superconductor, MoS2, under aperpendicular magnetic field as a function of disorder strength that is tunedelectrostatically. We found two universal scaling behaviors independent ofdisorders: a power-law scaling applies for all metallic states, and anactivated dynamical scaling characterizes transitions between quantum Griffithsstate and weakly localized metal. A study over a range of disorder states inthis unexplored clear regime suggests that a Bose metal ground state isexpected only after reaching a critical cleanness. Whereas, stronger disorderstabilizes a true 2D superconductivity and enhances the quantum Griffithsphase.

Dual Universality and Unconventional Phase Diagram of a Clean 2D Superconductor with Tunable Disorders