444 research outputs found
Wave Functions and Energies of Magnetopolarons in Semiconductor Quantum Wells
The classification of magnetopolarons in semiconductor quantum wells (QW) is
represented. Magnetopolarons appear due to the Johnson - Larsen effect. The
wave functions of usual and combined magnetopolarons are obtained by the
diodanalization of the Schrodinger equation.Comment: 7 pages, 2 figure
A CDCL-style calculus for solving non-linear constraints
In this paper we propose a novel approach for checking satisfiability of
non-linear constraints over the reals, called ksmt. The procedure is based on
conflict resolution in CDCL style calculus, using a composition of symbolical
and numerical methods. To deal with the non-linear components in case of
conflicts we use numerically constructed restricted linearisations. This
approach covers a large number of computable non-linear real functions such as
polynomials, rational or trigonometrical functions and beyond. A prototypical
implementation has been evaluated on several non-linear SMT-LIB examples and
the results have been compared with state-of-the-art SMT solvers.Comment: 17 pages, 3 figures; accepted at FroCoS 2019; software available at
<http://informatik.uni-trier.de/~brausse/ksmt/
Magnetooptical effects in quantum wells irradiated with light pulses
The method of detection and investigation of the magnetopolaron effect in the
semiconductor quantum wells (QW) in a strong magnetic field, based on pulse
light irradiation and measuring the reflected and transmitted pulses, has been
proposed. It has been shown that a beating amplitude on the frequencies,
corresponding to the magnetopolaron energy level splitting, depends strongly
from the exciting pulse width. The existence of the time points of the total
reflection and total transparency has been predicted. The high orders of the
perturbation theory on electron-electromagnetic field interaction have been
taken into account.Comment: 5 pages, 5 figures with captions, corrected typos, figures are
reedeted to improve their quality in accordance with the Referee requirement;
Phys. Rev. B, Brief Reports, submitted for publicatio
Analogue of the Kubo Formula for Conductivity of Spatially Inhomogeneous Systems and Electric Fields
The average of densities of currents and charges, induced by a weak
electromagnetic field in spatially inhomogeneous are calculated at final
temperatures. The Kubo formula for a conductivity tensor is generalized for
spatially inhomogeneous systems and fields. The contributions containing
electric fields and derivative from fields on coordinates are allocated. The
Semiconductor quantum wells, wires and dots may be considered as spatially
inhomogeneous systems.Comment: 10 page
Transmission of a Symmetric Light Pulse through a Wide QW
The reflection, transmission and absorption of a symmetric electromagnetic
pulse, which carrying frequency is close to the frequency of an interband
transition in a QW (QW), are obtained. The energy levels of a QW are assumed
discrete, one exited level is taken into account. The case of a wide QW is
considered when a length of the pulse wave, appropriate to the carrying
frequency, is comparable to the QW's width. In figures the time dependencies of
the dimensionless reflection, absorption are transmission are represented. It
is shown, that the spatial dispersion and a distinction in refraction indexes
influence stronger reflection.Comment: 8 pages,8 figures with caption
Elastic Light Scattering by Semiconductor Quantum Dots
Elastic light scattering by low-dimensional semiconductor objects is
investigated theoretically. The differential cross section of resonant light
scattering on excitons in quantum dots is calculated. The polarization and
angular distribution of scattered light do not depend on the quantum-dot form,
sizes and potential configuration if light wave lengths exceed considerably the
quantum-dot size. In this case the magnitude of the total light scattering
cross section does not depend on quantum-dot sizes. The resonant total light
scattering cross section is about a square of light wave length if the exciton
radiative broadening exceeds the nonradiative broadening. Radiative broadenings
are calculated
Delocalization of Wannier-Stark ladders by phonons: tunneling and stretched polarons
We study the coherent dynamics of a Holstein polaron in strong electric
fields. A detailed analytical and numerical analysis shows that even for small
hopping constant and weak electron-phonon interaction, polaron states can
become delocalized if a resonance condition develops between the original
Wannier-Stark states and the phonon modes, yielding both tunneling and
`stretched' polarons. The unusual stretched polarons are characterized by a
phonon cloud that {\em trails} the electron, instead of accompanying it. In
general, our novel approach allows us to show that the polaron spectrum has a
complex nearly-fractal structure, due to the coherent coupling between states
in the Cayley tree which describes the relevant Hilbert space. The eigenstates
of a finite ladder are analyzed in terms of the observable tunneling and
optical properties of the system.Comment: 7 pages, 4 figure
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