  Frustrated Mott insulators such as transition metal dichalcogenides present
an ideal platform for the experimental realization of externally tuned
insulator-metal transition. In this paper, we present the first nonperturbative
numerical investigation of the disorder-induced insulator-metal transition in a
two-dimensional frustrated Mott insulator. Our approach is generic and captures
the essential physics of Mott insulator-metal transition in geometrically
frustrated lattices. For concreteness, we have compared our results with the
experimental observations on copper (Cu) intercalated 1T-TaS2. Based on the
magnetic, spectroscopic, and transport signatures, we have mapped out the
thermal phase diagram of Cu intercalated 1T-TaS2 and established that over a
regime of moderate disorder strength this material hosts an antiferromagnetic
metal. Moreover, the insulator-metal transition in this system is not tied to
the loss of magnetic correlations, thereby giving rise to two quantum critical
points. The emergent non-Fermi liquid metal is governed by resilient
quasiparticles, that survive as the relevant low energy excitations even after
the break down of the Fermi liquid description. The transport and spectroscopic
signatures discussed in this paper are expected to serve as important
benchmarks for future experiments on this and related class of materials.
