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More than half a century after first being proposed by Sir Nevill Mott, thedeceptively simple question of whether the interaction-driven electronicmetal-insulator transition may be continuous remains enigmatic. Recentexperiments on two-dimensional materials suggest that when the insulator is aquantum spin liquid, lack of magnetic long-range order on the insulating sidemay cause the transition to be continuous, or only very weakly first order.Motivated by this, we study a half-filled extended Hubbard model on atriangular lattice strip geometry. We argue, through use of large-scalenumerical simulations and analytical bosonization, that this model harbors acontinuous (Kosterlitz-Thouless-like) quantum phase transition between a metaland a gapless spin liquid characterized by a spinon Fermi surface, i.e., a"spinon metal." These results may provide a rare insight into the developmentof Mott criticality in strongly interacting two-dimensional materials andrepresent one of the first numerical demonstrations of a Mott insulatingquantum spin liquid phase in a genuinely electronic microscopic model.

A continuous Mott transition between a metal and a quantum spin liquid