Quantum dots in graphene

TL;DR

This paper proposes a method to confine quasiparticles in graphene using external potentials, analyzing how boundary conditions affect the properties of graphene quantum dots and their conductance behavior.

Contribution

It introduces a theoretical approach for creating and studying graphene quantum dots with boundary-dependent properties and conductance signatures.

Findings

(Quasi)bound states exist in all considered systems.

Conductance depends on gate voltage and edge shape.

Boundary conditions influence quantum dot properties.

Abstract

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are investigated theoretically for different types of the boundary conditions at the edges of the strip. The (quasi)bound states exist in all systems considered. At the same time, the dependence of the conductance on the gate voltage carries an information about the shape of the edges.