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

TL;DR

This paper demonstrates the formation of bound states in the continuum for Dirac-like fermions in trilayer graphene structures, showing how they can be identified via conductance and density of states calculations, with potential applications in graphene electronics.

Contribution

It introduces a method to detect and analyze bound states in the continuum in graphene-based structures using combined electronic and density of states measurements.

Findings

Bound states in the continuum can be formed in trilayer graphene structures.

Applying a gate voltage couples bound states to the continuum, affecting conductance.

Maximum transmission occurs when bound states couple to the continuum.

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.