427 research outputs found
ELECTRONIC STATES IN GRADED-GAP JUNCTIONS WITH BAND INVERSION
We theoretically study electronic states in graded-gap junctions of IV-VI
compounds with band inversion. Using a two-band model within the approximation and assuming that the gap and the gap centre
present linear profiles, we demonstrate the existence of a set of localized
states along the growth direction with a discrete energy spectrum. The envelope
functions are found to be combination of harmonic oscillator eigenfunctions,
and the corresponding energy levels are proportional to the square root of the
quantum number. The level spacing can be directly controlled by varying the
structure thickness.Comment: REVTEX 3.0, 7 pages, no figures, to appear in Phys. Lett.
Exact Solutions of Two-Band Models of Graded-Gap Superlattices
We have theoretically investigated two-band models of graded-gap
superlattices within the envelope-function approximation. Assuming that the gap
varies linearly with spatial coordinate, we are able to find exact solutions of
the corresponding Dirac-like equation describing the conduction- and
valence-band envelope-functions. The dispersion relation inside allowed
miniband of the superlattice may be expressed in terms of confluent
hypergeometric functions in a closed form.Comment: 7 pages in REVTeX 3.0. 1 Figure on request to F. D-A
([email protected]). FM-UCM-3
X-Ray Reflectivity of Fibonacci Multilayers
We have numerically computed the reflectivity of X-ray incident normally onto
Fibonacci multilayers, and compared the results with those obtained in periodic
approximant multilayers. The constituent layers are of low and high refractive
indices with the same thickness. Whereas reflectivity of periodic approximant
multilayers changes only slightly with increasing the number of layers,
Fibonacci multilayers present a completely different behaviour. In particular,
we have found a highly-fragmented and self-similar reflectivity pattern in
Fibonacci systems. The behaviour of the fragmentation pattern on increasing the
number of layers is quantitatively described using multifractal techniques. The
paper ends with a brief discussion on possible practical applications of our
results in the design of new X-ray devices.Comment: 8 pages, REVTeX 3.0, 3 figures available upon request from
[email protected]. To appear in Physics Letters
Frenkel Excitons in Random Systems With Correlated Gaussian Disorder
Optical absorption spectra of Frenkel excitons in random one-dimensional
systems are presented. Two models of inhomogeneous broadening, arising from a
Gaussian distribution of on-site energies, are considered. In one case the
on-site energies are uncorrelated variables whereas in the second model the
on-site energies are pairwise correlated (dimers). We observe a red shift and a
broadening of the absorption line on increasing the width of the Gaussian
distribution. In the two cases we find that the shift is the same, within our
numerical accuracy, whereas the broadening is larger when dimers are
introduced. The increase of the width of the Gaussian distribution leads to
larger differences between uncorrelated and correlated disordered models. We
suggest that this higher broadening is due to stronger scattering effects from
dimers.Comment: 9 pages, REVTeX 3.0, 3 ps figures. To appear in Physical Review
Nonlinear Resonant Tunnelling Through Double Barrier Structures
We study resonant tunnelling through double-barrier structures under an
applied bias voltage, in which nonlinearities due to self-interaction of
electrons in the barrier regions are included. As an approximation, we concern
ourselves with thin barriers simulated by -function potentials. This
approximation allows for an analytical expression of the transmission
probability through the structure. We show that the typical peaks due to
resonant tunneling decrease and broaden as nonlinearity increases. The main
conclusion is that nonlinear effects degrade the peak-to-valley ratio but
improve the maximum operation frequency of the resonant tunnelling devices.Comment: REVTeX 3.0. 8 pages, 4 figures (PostScript files available on request
from ED [[email protected]]). Submitted to J Phys A. MA/UC3M/17/199
Bound states in the continuum driven by AC fields
We report the formation of bound states in the continuum driven by AC fields.
This system consists of a quantum ring connected to two leads. An AC side-gate
voltage controls the interference pattern of the electrons passing through the
system. We model the system by two sites in parallel connected to two
semi-infinite lattices. The energy of these sites change harmonically with
time. We obtain the transmission probability and the local density of states at
the ring sites as a function of the parameters that define the system. The
transmission probability displays a Fano profile when the energy of the
incoming electron matches the driving frequency. Correspondingly, the local
density of states presents a narrow peak that approaches a Dirac delta function
in the weak coupling limit. We attribute these features to the presence of
bound states in the continuum.Comment: 5 pages, 3 figure
Spin-dependent THz oscillator based on hybrid graphene superlattices
We theoretically study the occurrence of Bloch oscillations in biased hybrid
graphene systems with spin-dependent superlattices. The spin-dependent
potential is realized by a set of ferromagnetic insulator strips deposited on
top of a gapped graphene nanoribbon, which induce a proximity exchange
splitting of the electronic states in the graphene monolayer. We numerically
solve the Dirac equation and study Bloch oscillations in the lowest conduction
band of the spin-dependent superlattice. While the Bloch frequency is the same
for both spins, we find the Bloch amplitude to be spin dependent. This
difference results in a spin-polarized ac electric current in the THz range.Comment: 4 pages, 6 figure
Feshbach-type resonances for two-particle scattering in graphene
Two-particle scattering in graphene is a multichannel problem, where the
energies of the identical or opposite-helicity channels lie in disjoint energy
segments. Due to the absence of Galilean invariance, these segments depend on
the total momentum . The dispersion relations for the two opposite-helicity
scattering channels are analogous to those of two one-dimensional tight-binding
lattices with opposite dispersion relations, which are known to easily bind
states at their edges. When an -wave separable interaction potential is
assumed, those bound states reveal themselves as three Feshbach resonances in
the identical-helicity channel. In the limit , one of the
resonances survives and the opposite-helicity scattering amplitudes vanish.Comment: 8 pages, 2 figure
Subband energy in two-band delta-doped semiconductors
We study electron dynamics in a two-band delta-doped semiconductor within the
envelope-function approximation. Using a simple parametrization of the
confining potential arising from the ionized donors in the delta-doping layer,
we are able to find exact solutions of the Dirac-type equation describing the
coupling of host bands. As an application we then consider Si delta-doped GaAs.
In particular we find that the ground subband energy scales as a power law of
the Si concentration per unit area in a wide range of doping levels. In
addition, the coupling of host bands leads to a depression of the subband
energy due to nonparabolicity effects.Comment: REVTeX 3.0, 10 pages, 1 figure available upon request. To apper in
Physics Letters
Comment on ``Periodic wave functions and number of extended states in random dimer systems'
There are no periodic wave-functions in the RDM but close to the critical
energies there exist periodic envelopes. These envelopes are given by the
non-disordered properties of the system.Comment: RevTex file, 1 page, Comment X. Huang, X. Wu and C. Gong, Phys. Rev.
B 55, 11018 (1997
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