This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of
carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons …

The electronic properties of graphene, a two-dimensional crystal of carbon atoms, are
exceptionally novel. For instance, the low-energy quasiparticles in graphene behave as …

We investigate theoretically the magnetic levels and optical properties of zigzag-and
armchair-edged hexagonal graphene quantum dots (GQDs) utilizing the tight-binding …

Electrostatic confinement of charge carriers in graphene is governed by Klein tunnelling, a
relativistic quantum process in which particle–hole transmutation leads to unusual …

It is shown that the massless energy spectrum of electrons and holes in graphene leads to
the strongly non-linear electromagnetic response of this system. We predict that the …

This brief review discusses electronic properties of mesoscopic graphene-based structures.
These allow controlling the confinement and transport of charge and spin; thus, they are of …

Graphene quantum dots (GQDs) not only have potential applications on spin qubit, but also
serve as essential platforms to study the fundamental properties of Dirac fermions, such as …

Charge impurities in graphene can host an infinite family of Rydberg-like resonance states
of massless Dirac particles. These states, appearing for supercritical charge, are described …

This is a review on graphene quantum dots and their use as a host for spin qubits. We
discuss the advantages but also the challenges to use graphene quantum dots for spin …

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in
single and bilayer graphene are not confined but form quasibound states. The broadening of …