2,064 research outputs found
The evolution of Bernstein modes in quantum wires with increasing deviation from parabolic confinement
We investigate the evolution of the interaction of the magnetoplasmon
resonance with the harmonics of the cyclotron resonance as the confinement of
an electron gas in a quantum wire increasingly deviates from the parabolic
case. The occurrence of the Bernstein modes is observed in a time-dependent
Hartree model of a two-dimensional electron gas in a single quantum wire.Comment: 9 pages, 4 figures, uses IOP macros, to appear in the Journal of
Physics: Condensed Matte
Energy Injection Episodes in Gamma Ray Bursts: The Light Curves and Polarization Properties of GRB 021004
Several GRB afterglow light curves deviate strongly from the power law decay
observed in most bursts. We show that these variations can be accounted for by
including refreshed shocks in the standard fireball model previously used to
interpret the overall afterglow behavior. As an example we consider GRB 021004
that exhibited strong light curve variations and has a reasonably well
time-resolved polarimetry. We show that the light curves in the R-band, X-rays
and in the radio can be accounted for by four energy injection episodes in
addition to the initial event. The polarization variations are shown to be a
consequence of the injections.Comment: 4 pages, 2 figures. To appear in ApJ
The effects of compressible and incompressible states on the FIR-absorption of quantum wires and dots in a magnetic field
We investigate the effects of compressible and incompressible states on the
FIR-absorption of quantum wires and dots in a homogeneous perpendicular
magnetic field. The electron-electron interaction is treated in the Hartree
approximation at a finite low temperature. The calculated dispersion of the
collective excitations reproduces several experimental results.Comment: To be published by Physica Scripta in the proceedings of the 17NSM. 6
pages in LaTeX + 6 postscript figure
Spin effects in a confined 2DEG: Enhancement of the g-factor, spin-inversion states and their far-infrared absorption
We investigate several spin-related phenomena in a confined two-dimensional
electron gas (2DEG) using the Hartree-Fock approximation for the mutual Coulomb
interaction of the electrons. The exchange term of the interaction causes a
large splitting of the spin levels whenever the chemical potential lies within
a Landau band (LB). This splitting can be reinterpreted as an enhancement of an
effective g-factor, g*. The increase of g* when a LB is half filled can be
accompanied by a spontaneous formation of a static spin-inversion state (SIS)
whose details depend on the system sision state (SIS) whose details depend on
the system size. The coupling of the states of higher LB's into the lowest band
by the Coulomb interaction of the 2DEG is essential for the SIS to occur. The
far-infrared absorption of the system, relatively insensitive to the spin
splitting, develops clear signs of the SIS.Comment: 7 figure
Impurity and spin effects on the magneto-spectroscopy of a THz-modulated nanostructure
We present a grid-free DFT model appropriate to explore the time evolution of
electronic states in a semiconductor nanostructure. The model can be used to
investigate both the linear and the nonlinear response of the system to an
external short-time perturbation in the THz regime. We use the model to study
the effects of impurities on the magneto-spectroscopy of a two-dimensional
electron gas in a nanostructure excited by an intense THz radiation. We do
observe a reduction in the binding energy of the impurity with increasing
excitation strength, and at a finite magnetic field we find a slow onset of
collective spin-oscillations that can be made to vanish with a stronger
excitation.Comment: LaTeX,10 pages with 11 embedded postscript figure
Nonperturbative Approach to Circuit Quantum Electrodynamics
We outline a rigorous method which can be used to solve the many-body
Schroedinger equation for a Coulomb interacting electronic system in an
external classical magnetic field as well as a quantized electromagnetic field.
Effects of the geometry of the electronic system as well as the polarization of
the quantized electromagnetic field are explicitly taken into account. We
accomplish this by performing repeated truncations of many-body spaces in order
to keep the size of the many particle basis on a manageable level. The
electron-electron and electron-photon interactions are treated in a
nonperturbative manner using "exact numerical diagonalization". Our results
demonstrate that including the diamagnetic term in the photon-electron
interaction Hamiltonian drastically improves numerical convergence.
Additionally, convergence with respect to the number of photon states in the
joint photon-electron Fock space basis is fast. However, the convergence with
respect to the number of electronic states is slow and is the main bottleneck
in calculations.Comment: Revtex, pdflatex, 8 pages, with 5 included pdf figure
Memorization of short-range potential fluctuations in Landau levels
We calculate energy spectra of a two-dimensional electron system in a
perpendicular magnetic field and periodic potentials of short periods. The
Coulomb interaction is included within a screened Hartree-Fock approximation.
The electrostatic screening is poor and the exchange interaction amplifies the
energy dispersion. We obtain, by numerical iterations, self-consistent
solutions that have a hysteresis-like property. With increasing amplitude of
the external potential the energy dispersion and the electron density become
periodic, and they remain stable when the external potential is reduced to
zero. We explain this property in physical terms and speculate that a real
system could memorize short-range potential fluctuations after the potential
has been turned off.Comment: 11 pages with 4 included figures, Revte
Optical Signatures of Spin-Orbit Interaction Effects in a Parabolic Quantum Dot
We demonstrate here that the dipole-allowed optical absorption spectrum of a
parabolic quantum dot subjected to an external magnetic field reflects the
inter-electron interaction effects when the spin-orbit interaction is also
taken into account. We have investigated the energy spectra and the
dipole-allowed transition energies for up to four interacting electrons
parabolically confined, and have uncovered several novel features in those
spectra that are solely due to the SO interaction.Comment: 4 pages, 3 figure
Manifestation of the Hofstadter butterfly in far-infrared absorption
The far-infrared absorption of a two-dimensional electron gas with a
square-lattice modulation in a perpendicular constant magnetic field is
calculated self-consistently within the Hartree approximation. For strong
modulation and short period we obtain intra- and intersubband magnetoplasmon
modes reflecting the subbands of the Hofstadter butterfly in two or more Landau
bands. The character of the absorption and the correlation of the peaks to the
number of flux quanta through each unit cell of the periodic potential depends
strongly on the location of the chemical potential with respect to the
subbands, or what is the same, on the density of electrons in the system.Comment: RevTeX file + 4 postscript figures, to be published Phys. Rev. B
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