Prediction of high-T_csuperconductivity in two corrugated graphene sheets with intercalated CeH₉molecules

Recent discoveries involving high-temperature superconductivity in H₃S and LaH₁₀have sparked a renewed interest in exploring the potential for superconductivity within hydrides. These superconductors require extremely high-pressure condition (∼100GPa), rendering them virtually impractical for industrial applications. In this study, we verify the occurrence of a low pressure superconductivity phase transition in a system containing two graphene layers with sine form corrugations where CeH₉doped molecules are intercalated between the layers. The lowest-order constrained variational method is applied to calculate the thermodynamic and electrical properties of the valence electrons. We examine 9900 different distributions of CeH₉molecules separately for finding a second-order phase transition with maximized critical temperature. The novelty of the present work is the prediction of a superconductivity transition atTc=198.61 K for a specific distribution of CeH₉molecules with applying no external pressure on the exterior surfaces of the graphene sheets. Notably, this critical temperature is approximately 65 K higher than that observed in cuprate materials (HgBa₂Ca₂Cu₃O8+δ), which are known for their highTcvalues at room pressure. It is interesting that in this particular case, the distribution periodicity of CeH₉molecules bears the closest resemblance to the periodicity of the graphene corrugations among all 9900 examined cases. Computing the energy gap of the valence electrons reveals that this critical behavior corresponds to an unconventional superconductivity phase transition exhibiting a high critical current density on the order of∼107A cm-2.