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Using density functional theory with added on-site interactions (DFT+U), westudy the electronic structure of bulk, monolayer, and bilayer of the layeredtransition-metal dichalcogenide $1T-TaS_2$. We show that a two-dimensionalspin--$\frac{1}{2}$ Mott-phase exists for the monolayer in the charge-densitywave state (CDW) and that such a phase is systematically destroyed by packingof the distorted layers leading to a one dimensional metal for bulk,CDW-distorted TaS$_2$. The latter finding is in contrast with previous DMFTpredictions --disagreement we explain by the weak effective interaction felt bythe electrons in the CDW state. Experimental observations of insulatingbehavior may arise from disorder due to stacking faults.

Three Dimensional Metallic and Two Dimensional Insulating Behavior in Tantalum Dichalcogenides