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 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 …

Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy
electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent …

The relation between thermal transport and gravity was highlighted in the seminal work by
Luttinger in 1964, and has been extensively developed to understand thermal transport …

A continuum model for the effective spin-orbit interaction in graphene is derived from a tight-
binding model which includes the π and σ bands. We analyze the combined effects of the …

We consider the electronic structure near vacancies in the half-filled honeycomb lattice. It is
shown that vacancies induce the formation of localized states. When particle-hole symmetry …

We present a study of different models of local disorder in graphene. Our focus is on the
main effects that vacancies (random, compensated, and uncompensated), local impurities …

We discuss the effect of certain types of static disorder, like that induced by curvature or
topological defects, on the quantum correction to the conductivity in graphene. We find that …

We study the changes induced by the effective gauge field due to ripples on the low energy
electronic structure of graphene. We show that zero-energy Landau levels will form …

We investigate some apparent discrepancies between two different models for curved
graphene: the one based on tight-binding and elasticity theory, and the covariant approach …