Bound states in the continuum: localization of dirac-like fermions

We report on the formation of bound states in the continuum for Dirac-like fermions in structures composed by a trilayer graphene flake connected to nanoribbon leads. The existence of this kind of localized states can be proved by combining local density of states and electronic conductance calculations. By applying a gate voltage, the bound states couple to the continuum, yielding a maximum in the electronic transmission. This feature can be exploited to identify bound states in the continuum in graphene-based structures.This work has been partially supported by the Spanish DGES under grant FIS2012-33521, Chilean FONDECYT grants 1140571 (PO), 1140388 (LR), and DGIP/USM internal grant 11.14.68 (MP, PO), CONICYT ACT 1204 (LR, MP, PO)