The physics of graphene is acting as a bridge between quantum field theory and condensed
matter physics due to the special quality of the graphene quasiparticles behaving as …

In this Letter we use a geometric approach to study geometric phases in graphitic cones.
The spinor that describes the low energy states near the Fermi energy acquires a phase …

In this work, we study the low-energy electronic spectrum of a graphene layer structure with
a disclination in the presence of a magnetic field. We make this study using the continuum …

In this paper we use an exactly solvable model in order to investigate a magnetization and
persistent current of massless Dirac fermions confined in a quantum dot in a graphene layer …

The low energy excitations of graphene can be described by a massless Dirac equation in
two spacial dimensions. Curved graphene is proposed to be described by coupling the …

By considering a spacetime with a spiral dislocation, we analyse the behaviour of the Dirac
field subject to a hard-wall confining potential. In search of relativistic bound states solutions …

Geometrically a crystal containing dislocations and disclinations can be envisaged as a
“fixed frame” Cartan-Einstein space-time carrying torsion and curvature, respectively. We …

We analyse the interaction of a relativistic electron with a uniform magnetic field in the spiral
dislocation spacetime. We show that analytical solutions to the Dirac equation can be …

We show a new proposal for implementing one-qubit quantum gates in a solid associated
with the presence of topological defects. We discuss a new way of obtaining quantum …

Highly engineered materials are arousing great interest because of their ability to
manipulate heat, as described by the coordinate transformation approach. Based on …