Chiral Unitary Quantum Phase Transition in 2H-Fe${}_x$TaSe${}_2$

We have observed a metal-insulator transition of a quasi-two dimensional electronic system in transition metal dichalcogenide $2H$-TaSe${}_2$ caused by doping iron. The sheet resistance of $2H$-Fe${}_x$TaSe${}_2$ ($0 \leq x \leq 0.120$)singlecrystalsrisesabout$10^6$timeswiththeincreasingof$x$ at the lowest temperature. We investigated the temperature dependence of the resistance and found a metal-insulator transition with a critical sheet resistance $11.7\pm 5.4$ k$\mathrm{\Omega }$. The critical exponent of the localization length $\nu$ is estimated $0.31\pm 0.18$. The values of the critical sheet resistance and $\nu$ are accordant to those of the $\mathit{\text{chiral}}\mathit{\text{unitary}}\mathit{\text{class}}$ (less than $h\mathrm{/}1.49e^2=17.3$ k$\mathrm{\Omega }$ and $0.35\pm 0.03$, respectively). We suggest that $2H$-Fe${}_x$TaSe${}_2$ is classified as the chiral unitary class, not as standard unitary class.