2,591 research outputs found
Coherent Resonant Tunneling Through an Artificial Molecule
Coherent resonant tunneling through an artificial molecule of quantum dots in
an inhomogeneous magnetic field is investigated using an extended Hubbard
model. Both the multiterminal conductance of an array of quantum dots and the
persistent current of a quantum dot molecule embedded in an Aharanov-Bohm ring
are calculated. The conductance and persistent current are calculated
analytically for the case of a double quantum dot and numerically for larger
arrays using a multi-terminal Breit-Wigner type formula, which allows for the
explicit inclusion of inelastic processes. Cotunneling corrections to the
persistent current are also investigated, and it is shown that the sign of the
persistent current on resonance may be used to determine the spin quantum
numbers of the ground state and low-lying excited states of an artificial
molecule. An inhomogeneous magnetic field is found to strongly suppress
transport due to pinning of the spin-density-wave ground state of the system,
and giant magnetoresistance is predicted to result from the ferromagnetic
transition induced by a uniform external magnetic field.Comment: 23 pages, 12 figure
Transport Properties of One-Dimensional Hubbard Models
We present results for the zero and finite temperature Drude weight D(T) and
for the Meissner fraction of the attractive and the repulsive Hubbard model, as
well as for the model with next nearest neighbor repulsion. They are based on
Quantum Monte Carlo studies and on the Bethe ansatz. We show that the Drude
weight is well defined as an extrapolation on the imaginary frequency axis,
even for finite temperature. The temperature, filling, and system size
dependence of D is obtained. We find counterexamples to a conjectured
connection of dissipationless transport and integrability of lattice models.Comment: 10 pages, 14 figures. Published versio
Influence of Long-Range Coulomb Interactions on the Metal-Insulator Transition in One-Dimensional Strongly Correlated Electron Systems
The influence of long-range Coulomb interactions on the properties of
one-dimensional (1D) strongly correlated electron systems in vicinity of the
metal-insulator phase transition is considered. It is shown that unscreened
repulsive Coulomb forces lead to the formation of a 1D Wigner crystal in the
metallic phase and to the transformation of the square-root singularity of the
compressibility (characterizing the commensurate-incommensurate transition) to
a logarithmic singularity. The properties of the insulating (Mott) phase depend
on the character of the short-wavelength screening of the Coulomb forces. For a
sufficiently short screening length the characteristics of the charge
excitations in the insulating phase are totally determined by the Coulomb
interaction and these quasipartic les can be described as quasiclassical
Coulomb solitons.Comment: 14 pages, LaTeX, G{\"o}teborg preprint APR 94-3
The number of transmission channels through a single-molecule junction
We calculate transmission eigenvalue distributions for Pt-benzene-Pt and
Pt-butadiene-Pt junctions using realistic state-of-the-art many-body
techniques. An effective field theory of interacting -electrons is used to
include screening and van der Waals interactions with the metal electrodes. We
find that the number of dominant transmission channels in a molecular junction
is equal to the degeneracy of the molecular orbital closest to the metal Fermi
level.Comment: 9 pages, 8 figure
Force, charge, and conductance of an ideal metallic nanowire
The conducting and mechanical properties of a metallic nanowire formed at the
junction between two macroscopic metallic electrodes are investigated. Both
two- and three-dimensional wires with a W(ide)-N(arrow)-W(ide) geometry are
modelled in the free-electron approximation with hard-wall boundary conditions.
Tunneling and quantum-size effects are treated exactly using the scattering
matrix formalism. Oscillations of order E_F/lambda_F in the tensile force are
found when the wire is stretched to the breaking point, which are synchronized
with quantized jumps in the conductance. The force and conductance are shown to
be essentially independent of the width of the wide sections (electrodes). The
exact results are compared with an adiabatic approximation; the later is found
to overestimate the effects of tunneling, but still gives qualitatively
reasonable results for nanowires of length L>>lambda_F, even for this abrupt
geometry. In addition to the force and conductance, the net charge of the
nanowire is calculated and the effects of screening are included within linear
response theory. Mesoscopic charge fluctuations of order e are predicted which
are strongly correlated with the mesoscopic force fluctuations. The local
density of states at the Fermi energy exhibits nontrivial behavior which is
correlated with fine structure in the force and conductance, showing the
importance of treating the whole wire as a mesoscopic system rather than
treating only the narrow part.Comment: 23 pages, 8 figure
Energy levels and far-infrared spectroscopy for two electrons in a semiconductor nanoring
The effects of electron-electron interaction of a two-electron nanoring on
the energy levels and far-infrared (FIR) spectroscopy have been investigated
based on a model calculation which is performed within the exactly numerical
diagonalization. It is found that the interaction changes the energy spectra
dramatically, and also shows significant influence on the FIR spectroscopy. The
crossings between the lowest spin-singlet and triplet states induced by the
coulomb interaction are clearly revealed. Our results are related to the
experiment recently carried out by A. Lorke et al. [Phys. Rev. Lett. 84, 2223
(2000)].Comment: 17 pages, 6 figures, revised and accepted by Phys. Rev. B (Dec. 15
Attention-deficit hyperactivity disorder-like traits and distractibility in the visual periphery
We examined the performance of non-clinical subjects with high and low levels of self-reported ADHD-like traits in a novel distractibility paradigm with far peripheral visual distractors, the likely origin of many distractors in everyday life. Subjects were tested on a Sustained Attention to Response Task with distractors appearing before some of the target/non-target stimuli. When the distractors appeared 80 ms before the targets/non-targets, participants with high levels of ADHD-like traits were less affected in their reaction times than those with lower levels. Reducing the distractor-target/non-target interval to 10 ms removed the reaction time advantage for the high group. We suggest that at 80 ms the distractors were cueing the arrival of the target/non-target and that those with high levels of ADHD-like traits were more sensitive to the cues. Increased sensitivity to stimuli in the visual periphery is consistent with hyper-responsiveness at the level of the superior colliculus
Ultrafast Coulomb-induced dynamics of 2D magnetoexcitons
We study theoretically the ultrafast nonlinear optical response of quantum
well excitons in a perpendicular magnetic field. We show that for
magnetoexcitons confined to the lowest Landau levels, the third-order
four-wave-mixing (FWM) polarization is dominated by the exciton-exciton
interaction effects. For repulsive interactions, we identify two regimes in the
time-evolution of the optical polarization characterized by exponential and
{\em power law} decay of the FWM signal. We describe these regimes by deriving
an analytical solution for the memory kernel of the two-exciton wave-function
in strong magnetic field. For strong exciton-exciton interactions, the decay of
the FWM signal is governed by an antibound resonance with an
interaction-dependent decay rate. For weak interactions, the continuum of
exciton-exciton scattering states leads to a long tail of the time-integrated
FWM signal for negative time delays, which is described by the product of a
power law and a logarithmic factor. By combining this analytic solution with
numerical calculations, we study the crossover between the exponential and
non-exponential regimes as a function of magnetic field. For attractive
exciton-exciton interaction, we show that the time-evolution of the FWM signal
is dominated by the biexcitonic effects.Comment: 41 pages with 11 fig
Charge Transfer Induced Persistent Current and Capacitance Oscillations
The transfer of charge between different regions of a phase-coherent
mesoscopic sample is investigated. Charge transfer from a side branch quantum
dot into a ring changes the persistent current through a sequence of plateaus
of diamagnetic and paramagnetic states. In contrast, a quantum dot embedded in
a ring exhibits sharp resonances in the persistent current, whose sign is
independent of the number of electrons in the dot if the total number of
electrons in the system is even. It is shown that such a mesoscopic system can
be polarized appreciably not only by the application of an external voltage,
but also via an Aharonov-Bohm flux.Comment: 4 pages, REVTEX 3.0, 2 postscript figure
Electronic resonance states in metallic nanowires during the breaking process simulated with the ultimate jellium model
We investigate the elongation and breaking process of metallic nanowires
using the ultimate jellium model in self-consistent density-functional
calculations of the electron structure. In this model the positive background
charge deforms to follow the electron density and the energy minimization
determines the shape of the system. However, we restrict the shape of the wires
by assuming rotational invariance about the wire axis. First we study the
stability of infinite wires and show that the quantum mechanical
shell-structure stabilizes the uniform cylindrical geometry at given magic
radii. Next, we focus on finite nanowires supported by leads modeled by
freezing the shape of a uniform wire outside the constriction volume. We
calculate the conductance during the elongation process using the adiabatic
approximation and the WKB transmission formula. We also observe the correlated
oscillations of the elongation force. In different stages of the elongation
process two kinds of electronic structures appear: one with extended states
throughout the wire and one with an atom-cluster like unit in the constriction
and with well localized states. We discuss the origin of these structures.Comment: 11 pages, 8 figure
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