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We explore theoretically the formation of bound states in the continuum(BICs) in graphene hosting two collinear adatoms situated at different sides ofthe sheet and at the center of the hexagonal cell, where a phantom atom of afictitious lattice emulates the six carbons of the cell. We verify that in thisconfiguration the local density of states (LDOS) near the Dirac points exhibitstwo characteristic features: i) the cubic dependence on energy instead of thelinear one for graphene as found in New J. Phys. 16, 013045 (2014) and ii)formation of BICs as aftermath of a Fano destructive interference assisted bythe Coulomb correlations in the adatoms. For the geometry where adatoms arecollinear to carbon atoms, we report absence of BICs.

Catching the Bound States in the Continuum of a Phantom Atom in Graphene