Properties of graphene: a theoretical perspective

DSL Abergel, V Apalkov, J Berashevich… - Advances in …, 2010 - Taylor & Francis
The electronic properties of graphene, a two-dimensional crystal of carbon atoms, are
exceptionally novel. For instance, the low-energy quasiparticles in graphene behave as …

Colloquium: Andreev reflection and Klein tunneling in graphene

CWJ Beenakker - Reviews of Modern Physics, 2008 - APS
A colloquium-style introduction to two electronic processes in a carbon monolayer
(graphene) is presented, each having an analog in relativistic quantum mechanics. Both …

Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential

RR Hartmann, ME Portnoi - Physical Review A, 2014 - APS
We analyze bound modes of two-dimensional massless Dirac fermions confined within a
hyperbolic secant potential, which provides a good fit for potential profiles of existing top …

Valley-isospin dependence of the quantum Hall effect in a graphene junction

J Tworzydło, I Snyman, AR Akhmerov… - Physical Review B …, 2007 - APS
We calculate the conductance G of a bipolar junction in a graphene nanoribbon, in the high-
magnetic-field regime where the Hall conductance in the p-doped and n-doped regions is 2 …

Tunable quantum dots in monolayer graphene

G Giavaras, F Nori - Physical Review B—Condensed Matter and Materials …, 2012 - APS
We examine a graphene quantum dot formed by combining an electric and a uniform
magnetic field. The electric field creates a smooth quantum well potential while the magnetic …

Quasibound states of Schrödinger and Dirac electrons in a magnetic quantum dot

M Ramezani Masir, A Matulis, FM Peeters - Physical Review B—Condensed …, 2009 - APS
The properties of a two-dimensional electron are investigated in the presence of a circular
step magnetic-field profile. Both electrons with parabolic dispersion as well as Dirac …

Exact wave functions for an electron on a graphene triangular quantum dot

AV Rozhkov, F Nori - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We generalize the known solution of the Schrödinger equation, describing a particle
confined to a triangular area, for a triangular graphene quantum dot with armchair-type …

Localization of Dirac-like excitations in graphene in the presence of smooth inhomogeneous magnetic fields

P Roy, TK Ghosh, K Bhattacharya - Journal of Physics …, 2012 - iopscience.iop.org
The present paper discusses magnetic confinement of the Dirac excitations in graphene in
the presence of inhomogeneous magnetic fields. In the first case a magnetic field directed …

Edge states, mass and spin gaps, and quantum Hall effect in graphene

VP Gusynin, VA Miransky, SG Sharapov… - Physical Review B …, 2008 - APS
Motivated by recent experiments and a theoretical analysis of the gap equation for the
propagator of Dirac quasiparticles, we assume that the physics underlying the recently …

On zero energy states in graphene

CL Ho, P Roy - Europhysics Letters, 2014 - iopscience.iop.org
On zero energy states in graphene - IOPscience Skip to content IOP Science home
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