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 …

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 …

Because of the chiral nature of electrons in a monolayer of graphite (graphene) one can
expect weak antilocalization and a positive weak-field magnetoresistance in it. However …

We study topological insulators characterized by the integer topological invariant Z, in even
and odd spatial dimensions. These are well understood in the case when there are no …

Using a general symmetry-based approach, we provide a classification of generic miniband
structures for electrons in graphene placed on substrates with the hexagonal Bravais …

We study the electron transport properties of a monoatomic graphite layer (graphene) with
different types of disorder. We show that the transport properties of the system depend …

We show that Friedel oscillations (FO) in grapehene are strongly affected by the chirality of
electrons in this material. In particular, the FO of the charge density around an impurity show …

We study one-dimensional, interacting, gapped fermionic systems described by variants of
the Peierls-Hubbard model, and we characterize their phases via a topological invariant …

A scheme is proposed to construct integer and fractional topological quantum states of
fermions in two spatial dimensions. We devise models for such states by coupling wires of …

Spin-orbit coupled materials have attracted revived prominent research interest as of late,
especially due their connection with topological materials. A hallmark of this pursuit is …