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We investigated the ground state of monolayer 1T-XCl$_{2}$ (X: Fe, Co, andNi) using the generalized Bloch theorem, which can generate ferromagnetic,spiral, and antiferromagnetic states. Each state was represented by a uniquespiral vector that arranges the magnetic moment of magnetic atom in theprimitive unit cell. We found the ferromagnetic ground state for the FeCl$_{2}$and NiCl$_{2}$ while the spiral ground state appears for the CoCl$_{2}$. Wealso showed that the ground state depends sensitively on the lattice constant.When the hole-electron doping was taken into account, we found the phasetransition, which involves the ferromagnetic, spiral, and antiferromagneticstates, for all the systems. Since the spin-spin interaction in the monolayermetal dichlorides is influenced by the competition between the direct exchangeand the superexchange, we justify that the carrier concentration determineswhich interaction should dominate.

Carrier-induced Phase Transition in Metal Dichlorides XCl$_{2}$ (X: Fe, Co, and Ni)