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We propose that a multi-graphene of ABC-type stacking yields virtual boundstates lying within the Coulomb insulating gap of an Anderson-like adatom.Wondrously, a virtual state constitutes the counterpart of the atomic collapsephenomenon proposed in relativistic atomic Physics, while the second emerges asits particle-hole symmetric, analogous to a positron state. Thus, we introducethe effect as the adatomic collapse, which occurs due to a flat band with adispersionless state and a divergent density of states$\sim|\varepsilon-\varepsilon_{F}|^{2/J-1}$ near the Fermi energy$\varepsilon_{F}$ for $J\geq3,$ where $J\pi$ is the Berry phase. We concludethis scenario based on the Kramers-Kronig transformation of the quasiparticlebroadening, from where we observe that the aforementioned van Hove singularityinduces virtual bound states. Counterintuitively, near the singularity, we findthese states above and below the Fermi energy correlated to the existence ofthe bottom and top edges of the Coulomb insulating region, respectively. Assuch a behavior rises without a twist, the system is known as Moir\'eless andthe phenomenon emerges also assisted by the adatom Coulomb correlations.Similarly to Science 340, 734 (2013) we find the effective critical atomicnumber $\mathcal{Z}_{c}\sim0.96$ in contrast to an ultra-heavy nucleus. Thus,we point out that multi-graphene is a proper playground for testing a predictedphenomenon of the relativistic atomic Physics in the domain of the condensedmatter Physics.

Analogue of atomic collapse for adatoms on rhombohedral multilayer graphene