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 addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

In this paper we present a paradigmatic tight-binding model for single-layer as well as
multilayered semiconducting MoS 2 and similar transition metal dichalcogenides. We show …

The Dirac equation is solved for triangular and hexagonal graphene quantum dots for
different boundary conditions in the presence of a perpendicular magnetic field. We analyze …

We present a detailed numerical study of the electronic properties of single-layer graphene
with resonant (hydrogen) impurities and vacancies within a framework of noninteracting tight …

It is well known that there are resonant states with complex energy for the supercritical
Coulomb impurity in graphene. We show that opening of a quasiparticle gap decreases the …

We review the physics of charged impurities in the vicinity of graphene. The long-range
nature of Coulomb impurities affects both the nature of the ground state density profile and …

We numerically investigate quantum rings in graphene and find that their electronic
properties may be strongly influenced by the geometry, the edge symmetries, and the …

We study the properties of graphene wormholes in which a short nanotube acts as a bridge
between two graphene sheets, where the honeycomb carbon lattice is curved from the …

In this work, with focus on the energy-transport properties in quantum, low-dimensional,
graded materials, we address the investigation of the energy (and spin) current in XXZ open …