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.

7 pages, 5 figures

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral tunneling and the Klein paradox in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Evidence of Klein tunneling in graphene p-n junctions
• Electronic transport through bilayer graphene flakes

Cited by in corpus (6)

• Helical bound states in the continuum of the edge states in two dimensional topological insulators
• Spin and charge caloritronics in bilayer graphene flakes with magnetic contacts
• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• SUSY design of smooth quantum rings in graphene
• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• Coupled system of Dirac fermions with different Fermi velocities via composites of SUSY operators