The problem of electron-electron interactions in graphene is reviewed. Starting from the
screening of long-range interactions in these systems, the existence of an emerging Dirac …

In this brief review, the problem of electrostatic confinement of massless Dirac particles is
surveyed via a number of exactly solvable one‐and two‐body models. By considering …

We obtain zero energy solutions of a (2+ 1)-dimensional massless Dirac-like equation with a
position-dependent Fermi velocity in the presence of an electrostatic potential. Several …

Using the concept of complex non-PT symmetric potential we study creation of zero energy
states in graphene by a scalar potential. The admissible range of the potential parameter …

The creation of charged fermions from the vacuum by a Coulomb field in the presence of an
Aharonov–Bohm (AB) potential are studied in 2+ 1 dimensions. The process is governed by …

In this contribution, we study the effects caused by an impurity on the quantum dynamics of
massive excitations in a disclinated graphene in the presence of an external magnetic field …

We utilize the relation between soliton solutions of the modified Kortweg-de Vries (mKdV)
and the combined mKdV-KdV equation and the Dirac equation to construct electrostatic …

We show that the critical charge for the Dirac excitations in gapless graphene depends on
the spatial topology of the sample. In particular, for graphene cones, the effective value of …

Solutions to the Dirac equation are constructed for a massless charged fermion in Coulomb
and Aharonov–Bohm (AB) potentials in 2+ 1 dimensions. The Dirac Hamiltonian on this …

In this paper, we study generalizations of the two-dimensional relativistic Coulomb problem
in curved geometries with constant positive and negative curvature. It is shown that in both …