9,815 research outputs found
Tunable quantum dots in bilayer graphene
We demonstrate theoretically that quantum dots in bilayers of graphene can be
realized. A position-dependent doping breaks the equivalence between the upper
and lower layer and lifts the degeneracy of the positive and negative momentum
states of the dot. Numerical results show the simultaneous presence of electron
and hole confined states for certain doping profiles and a remarkable angular
momentum dependence of the quantum dot spectrum which is in sharp contrast with
that for conventional semiconductor quantum dots. We predict that the optical
spectrum will consist of a series of non-equidistant peaks.Comment: 5 pages, to appear in Nano Letter
Landau levels and oscillator strength in a biased bilayer of graphene
We obtain analytical expressions for the eigenstates and the Landau level
spectrum of biased graphene bilayers in a magnetic field. The calculations are
performed in the context of a four-band continuum model and generalize previous
approximate results. Solutions are presented for the spectrum as a function of
interlayer coupling, the potential difference between the layers and the
magnetic field. The explicit expressions allow us to calculate the oscillator
strength and the selection rules for electric dipole transitions between the
Landau states. Some transitions are significantly shifted in energy relative to
those in an unbiased bialyer and exhibit a very different magnetic field
dependence.Comment: To appear in Phys. Rev.
Snake states in graphene quantum dots in the presence of a p-n junction
We investigate the magnetic interface states of graphene quantum dots that
contain p-n junctions. Within a tight-binding approach, we consider rectangular
quantum dots in the presence of a perpendicular magnetic field containing p-n,
as well as p-n-p and n-p-n junctions. The results show the interplay between
the edge states associated with the zigzag terminations of the sample and the
snake states that arise at the p-n junction, due to the overlap between
electron and hole states at the potential interface. Remarkable localized
states are found at the crossing of the p-n junction with the zigzag edge
having a dumb-bell shaped electron distribution. The results are presented as
function of the junction parameters and the applied magnetic flux.Comment: 13 pages, 23 figures, to be appeared in Phys. Rev.
Confined states and direction-dependent transmission in graphene quantum wells
We report the existence of confined massless fermion states in a graphene
quantum well (QW) by means of analytical and numerical calculations. These
states show an unusual quasi-linear dependence on the momentum parallel to the
QW: their number depends on the wavevector and is constrained by electron-hole
conversion in the barrier regions. An essential difference with
non-relativistic electron states is a mixing between free and confined states
at the edges of the free-particle continua, demonstrated by the
direction-dependent resonant transmission across a potential well.Comment: Submitted to PR
Topological confinement in graphene bilayer quantum rings
We demonstrate the existence of localized electron and hole states in a
ring-shaped potential kink in biased bilayer graphene. Within the continuum
description, we show that for sharp potential steps the Dirac equation
describing carrier states close to the K (or K') point of the first Brillouin
zone can be solved analytically for a circular kink/anti-kink dot. The
solutions exhibit interfacial states which exhibit Aharonov-Bohm oscillations
as functions of the height of the potential step and/or the radius of the ring
Simplified model for the energy levels of quantum rings in single layer and bilayer graphene
Within a minimal model, we present analytical expressions for the eigenstates
and eigenvalues of carriers confined in quantum rings in monolayer and bilayer
graphene. The calculations were performed in the context of the continuum
model, by solving the Dirac equation for a zero width ring geometry, i.e. by
freezing out the carrier radial motion. We include the effect of an external
magnetic field and show the appearance of Aharonov-Bohm oscillations and of a
non-zero gap in the spectrum. Our minimal model gives insight in the energy
spectrum of graphene-based quantum rings and models different aspects of finite
width rings.Comment: To appear in Phys. Rev.
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