  We report the first non perturbative study of disorder induced
insulator-metal transition at half filling in a geometrically frustrated
triangular lattice Mott insulator. Our numerical approach allows one to treat
the effects of thermal and disorder induced spatial fluctuations, geometric
frustration of lattice and competing symmetry breaking orders, on equal
footing; a goal most of the existing techniques fail to achieve. The results
presented herein demonstrate that disorder stabilizes a magnetic metal cradled
between a Mott insulator and an Anderson insulator at low temperatures. Based
on magnetic, spectroscopic and transport signatures, we establish the emergent
metal to be a non Fermi liquid, arising out of the competition between the two
electron localizing tendencies viz. Mott repulsion and Anderson localization.
Further, our finite temperature results show a re-entrant thermal transition
arising out of the fluctuating magnetic moments. Our work is the first
microscopic description of the experimentally observed disorder induced metal
in two-dimensional transition metal dichalcogenide Mott insulator 1T-TaS2, and
the results are in excellent agreement with the existing experimental
observations. Our predictions on finite temperature spectroscopic and transport
characteristics are expected to serve as suitable benchmarks for future
experiments on 1T-TaS2, and related class of materials.
