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

Abstract

We report 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.

arXiv comment7 pages, 5 figures

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• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Bound states in the continuum poisoned by Majorana fermions
• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• SUSY design of smooth quantum rings in graphene
• Coupled system of Dirac fermions with different Fermi velocities via composites of SUSY operators