A colloquium-style introduction to two electronic processes in a carbon monolayer
(graphene) is presented, each having an analog in relativistic quantum mechanics. Both …

Graphene, which was discovered in 2004, is one of the most recent nanomaterials. Its
uncommon physical properties and its potential applications in the area of quantum …

Ferromagnetic insulators deposited on graphene can induce ferromagnetic correlations in
graphene. We estimate that induced exchange splittings Δ∼ 5 meV can be achieved by, eg …

We investigate the emergence of extra Dirac points in the electronic structure of a
periodically spaced barrier system, ie, a superlattice, on single-layer graphene, using a …

We present a theory of quantum-coherent transport through a lateral pnp structure in
graphene, which fully accounts for the interference of forward and backward scattering on …

We evaluate the dispersion relation for massless fermions, described by the Dirac equation,
and for zero-spin bosons, described by the Klein-Gordon equation, moving in two …

We evaluate the transmission through magnetic barriers in graphene-based nanostructures.
Several particular cases are considered: a magnetic step, single and double barriers, and δ …

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in
single and bilayer graphene are not confined but form quasibound states. The broadening of …

We present exact analytical solutions for the zero-energy modes of two-dimensional
massless Dirac fermions fully confined within a smooth one-dimensional potential V (x) …

Band gap size of armchair graphene nanoribbons (AGNRs) can be tuned by implementing
topological antidotes or boron/nitride (BN) atoms at the middle of ribbons. By imposing such …