162 research outputs found
Control of the persistent currents in two interacting quantum rings through the Coulomb interaction and inter-ring tunneling
The persistent current in two vertically coupled quantum rings containing few
electrons is studied. We find that the Coulomb interaction between the rings in
the absence of tunneling affects the persistent current in each ring and the
ground state configurations. Quantum tunneling between the rings alters
significantly the ground state and the persistent current in the system.Comment: accepted for publication in Phys. Rev.
Artificial molecular quantum rings: Spin density functional theory calculations
The ground states of artificial molecules made of two vertically coupled
quantum rings are studied within the spin density functional theory for systems
containing up to 13 electrons. Quantum tunneling effects on the electronic
structure of the coupled rings are analyzed. For small ring radius, our results
recover those of coupled quantum dots. For intermediate and large ring radius,
new phases are found showing the formation of new diatomic artificial ring
molecules. Our results also show that the tunneling induced phase transitions
in the coupled rings occur at much smaller tunneling energy as compared to
those for coupled quantum dot systems.Comment: 10 pages, 6 figure
The two electron artificial molecule
Exact results for the classical and quantum system of two vertically coupled
two-dimensional single electron quantum dots are obtained as a function of the
interatomic distance (d) and with perpendicular magnetic field. The classical
system exhibits a second order structural transition as a function of d which
is smeared out and shifted to lower d values in the quantum case. The
spin-singlet - spin-triplet oscillations are shifted to larger magnetic fields
with increasing d and are quenched for a sufficiently large interatomic
distance.Comment: 4 pages, 4 ps figure
Artificial molecular quantum rings under magnetic field influence
The ground states of few electrons confined in two vertically coupled quantum
rings in the presence of an external magnetic field are studied systematically
within the current spin-density functional theory. Electron-electron
interactions combined with inter-ring tunneling affects the electronic
structure and the persistent current. For small values of the external magnetic
field, we recover the zero magnetic field molecular quantum ring ground state
configurations. Increasing the magnetic field many angular momentum, spin, and
iso-spin transitions are predicted to occur in the ground state. We show that
these transitions follow certain rules, which are governed by the parity of the
number of electrons, the single particle picture, the Hund's rules and
many-body effects.Comment: accepted for publication in Journal of Applied Physics (in press
Two level anti-crossings high up in the single-particle energy spectrum of a quantum dot
We study the evolution with magnetic field of the single-particle energy
levels high up in the energy spectrum of one dot as probed by the ground state
of the adjacent dot in a weakly coupled vertical quantum dot molecule. We find
that the observed spectrum is generally well accounted for by the calculated
spectrum for a two-dimensional elliptical parabolic confining potential, except
in several regions where two or more single-particle levels approach each
other. We focus on two two-level crossing regions which show unexpected
anti-crossing behavior and contrasting current dependences. Within a simple
coherent level mixing picture, we can model the current carried through the
coupled states of the probed dot provided the intrinsic variation with magnetic
field of the current through the states (as if they were uncoupled) is
accounted for by an appropriate interpolation scheme.Comment: 4 pages, 4 figures, accepted for publication in Physica E in MSS 13
conference proceeding
Classical Many-particle Clusters in Two Dimensions
We report on a study of a classical, finite system of confined particles in
two dimensions with a two-body repulsive interaction. We first develop a simple
analytical method to obtain equilibrium configurations and energies for few
particles. When the confinement is harmonic, we prove that the first transition
from a single shell occurs when the number of particles changes from five to
six. The shell structure in the case of an arbitrary number of particles is
shown to be independent of the strength of the interaction but dependent only
on its functional form. It is also independent of the magnetic field strength
when included. We further study the effect of the functional form of the
confinement potential on the shell structure. Finally we report some
interesting results when a three-body interaction is included, albeit in a
particular model.Comment: Minor corrections, a few references added. To appear in J. Phys:
Condensed Matte
High-field magnetoexcitons in unstrained GaAs/AlxGa1-xAs quantum dots
The magnetic field dependence of the excitonic states in unstrained GaAs/AlxGa1-xAs quantum dots is investigated theoretically and experimentally. The diamagnetic shift for the ground and the excited states are studied in magnetic fields of varying orientation. In the theoretical study, calculations are performed within the single band effective mass approximation, including band nonparabolicity, the full experimental three-dimensional dot shape and the electron-hole Coulomb interaction. These calculations are compared with the experimental results for both the ground and the excited states in fields up to 50 Tesla. Good agreement is found between theory and experiment
Magnetospectroscopy of epitaxial few-layer graphene
The inter-Landau level transitions observed in far-infrared transmission
experiments on few-layer graphene samples show a behaviour characteristic of
the linear dispersion expected in graphene. This behaviour persists in
relatively thick samples, and is qualitatively different from that of thin
samples of bulk graphite.Comment: Invited short review to appear in a special issue of Solid State
Communication
Exciton and negative trion dissociation by an external electric field in vertically coupled quantum dots
We study the Stark effect for an exciton confined in a pair of vertically
coupled quantum dots. A single-band approximation for the hole and a parabolic
lateral confinement potential are adopted which allows for the separation of
the lateral center-of-mass motion and consequently for an exact numerical
solution of the Schr\"odinger equation. We show that for intermediate tunnel
coupling the external electric field leads to the dissociation of the exciton
via an avoided crossing of bright and dark exciton energy levels which results
in an atypical form of the Stark shift. The electric-field-induced dissociation
of the negative trion is studied using the approximation of frozen lateral
degrees of freedom. It is shown that in a symmetric system of coupled dots the
trion is more stable against dissociation than the exciton. For an asymmetric
system of coupled dots the trion dissociation is accompanied by a positive
curvature of the recombination energy line as a function of the electric field.Comment: PRB - in prin
Classical double-layer atoms: artificial molecules
The groundstate configuration and the eigenmodes of two parallel
two-dimensional classical atoms are obtained as function of the inter-atomic
distance (d). The classical particles are confined by identical harmonic wells
and repel each other through a Coulomb potential. As function of d we find
several structural transitions which are of first or second order. For first
(second) order transitions the first (second) derivative of the energy with
respect to d is discontinuous, the radial position of the particles changes
discontinuously (continuously) and the frequency of the eigenmodes exhibit a
jump (one mode becomes soft, i.e. its frequency becomes zero).Comment: 4 pages, RevTex, 5 ps figures, to appear in Phys.Rev.Let
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