In this paper, we show, by using the approach of effective mass, that the model of a two-
dimensional Dirac oscillator can be used to describe the thermodynamic properties of …

We investigate the creation of massless quasiparticle pairs from the vacuum state in
graphene by the space homogeneous time-dependent electric field. For this purpose the …

We show that the presence of parity-odd terms in the conductivity (ie in the polarization
tensor of Dirac quasiparticles in graphene) leads to the rotation of polarization of the …

We study one-loop effects for massless Dirac fields in two spatial dimensions, coupled to
homogeneous electromagnetic backgrounds, both at zero and at finite temperature and …

The creation of charged fermions from the vacuum by a Coulomb field in the presence of an
Aharonov–Bohm (AB) potential are studied in 2+ 1 dimensions. The process is governed by …

We study the thermodynamic properties of massless Dirac fermions in graphene subjected
to a uniform magnetic field B together with a Rashba coupling parameter λ R. The …

We study a family of local boundary conditions for the Dirac problem corresponding to the
continuum limit of graphene, both for nanoribbons and nanodots. We show that, among the …

We study the anomalous quantum Hall effect exhibited by the relativistic particles living on
two-sphere S2 and submitted to a magnetic monopole. We start by establishing a direct …

We consider gated graphene nanoribbons subject to Berry-Mondragon boundary conditions
in the presence of weak impurities. Using field-theoretical methods, we calculate the density …

We start the paper with a brief presentation of the main characteristics of graphene, and of
the Dirac theory of massless fermions in 2+ 1 dimensions obtained as the associated low …