We review the electronic properties of bilayer graphene, beginning with a description of the
tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian …

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 orbital diamagnetic susceptibility is calculated in monolayer and bilayer graphenes with
band gap as well as in three-dimensional Dirac systems. It is demonstrated that the …

We develop a gauge-independent perturbation theory for the grand potential of itinerant
electrons in two-dimensional tight-binding models in the presence of a perpendicular …

We discuss electric transport and orbital magnetism of multilayer graphenes in a weak-
magnetic field using the matrix decomposition technique. At zero temperature, the minimum …

The simplest tight-binding model is used to study lattice effects on two properties of doped
graphene:(i) magnetic orbital susceptibility and (ii) regular Friedel oscillations, both …

Using the tight-binding approximation we calculated the diamagnetic susceptibility of
graphene quantum dots (GQDs) of different geometrical shapes and characteristic sizes of 2 …

Silicene is a monolayer of silicon atoms forming a honeycomb lattice. The lattice is actually
made of two sublattices with a tiny separation. Silicene is a topological insulator, which is …

Orbital magnetism is studied for graphene flakes with various shapes and edge
configurations using the tight-binding approximation. In the low-temperature regime where …

In this work, we consider a non-commutative description of graphene. We have employed
extensive and non-extensive entropies to study magnetic susceptibility of graphene in non …