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Behavior consistent with Coulomb-mediated high-T$_C$ superconductivity isshown to be present in the intercalated group-4-metal nitride halidesA$_x$(S)$_y$MNX, where the MNX host (M = Ti, Zr, Hf; X = Cl, Br) is partiallyintercalated with cations A$_x$ and optionally molecular species (S)$_y$ in thevan der Waals gap between the halide X layers, expanding the basal-planespacing d. The optimal transition temperature is modeled by T$_{C0}$${\propto}$ {\zeta}$^{-1}$({\sigma}/$A$)$^{1/2}$, where the participatingfractional charge per area per formula unit {\sigma}/$A$ and the distance{\zeta}, given by the transverse A$_x$-X separation ({\zeta} < d), govern theinterlayer Coulomb coupling. From experiment results for {\beta}-form compoundsbased on Zr and Hf, in which concentrations x of A$_x$ are varied, it is shownthat {\sigma} = {\gamma}[v(x$_{opt}$ $-$ x$_0$)], where x$_{opt}$ is theoptimal doping, x$_0$ is the onset of superconducting behavior, v is the A$_x$charge state, and {\gamma} = 1/8 is a factor determined by the model.Observations of T$_C$ < T$_{C0}$ in the comparatively more disordered{\alpha}-A$_x$(S)$_y$TiNX compounds are modeled as pair-breaking by remoteCoulomb scattering from the A$_x$ cations, which attenuates exponentially withincreasing {\zeta}. The T$_{C0}$ values calculated for nine A$_x$(S)$_y$MNClcompounds, shown to be optimal, agree with the measured T$_C$ to withinexperimental error. The model for T$_{C0}$ is also found to be consistent withthe absence of high-T$_C$ characteristics for A$_x$MNX compounds in which aspatially separated intercalation layer is not formed.

Modeling Intercalated Group-4-Metal Nitride Halide Superconductivity with Interlayer Coulomb Coupling