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We calculate the strength of the effective onsite Coulomb interaction(Hubbard $U$) in two-dimensional (2D) transition-metal (TM) dihalides MX$_2$and trihalides MX$_3$ (M=Ti, V, Cr, Mn, Fe, Co, Ni; X=Cl, Br, I) from firstprinciples using the constrained random-phase approximation. The correlatedsubspaces are formed from $t_{2g}$ or $e_g$ bands at the Fermi energy.Elimination of the efficient screening taking place in these narrow bands givesrise to sizable interaction parameters U between the localized $t_{2g}$ ($e_g$)electrons. Due to this large Coulomb interaction, we find $U/W >1$ (with theband width $W$) in most TM halides, making them strongly correlated materials.Among the metallic TM halides in paramagnetic state, the correlation strength$U/W$ reaches a maximum in NiX$_2$ and CrX$_3$ with values much larger than thecorresponding values in elementary TMs and other TM compounds. Based on theStoner model and the calculated $U$ and $J$ values, we discuss the tendency ofthe electron spins to order ferromagnetically.

Strength of effective Coulomb interaction in two-dimensional transition-metal Halides MX$_2$ and MX$_3$ (M=Ti, V, Cr, Mn, Fe, Co, Ni; X=Cl, Br, I)