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EFFECT OF TEMPERATURE ON THE FAN DIAGRAM OF THE MAGNETOABSORPTION SPECTRUM IN
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Bog'liq ТўпламEFFECT OF TEMPERATURE ON THE FAN DIAGRAM OF THE MAGNETOABSORPTION SPECTRUM IN
SEMICONDUCTORS WITH A NONPARABOLIC DISPERSION
R.G.Rakhimov
Namangan Institute of Engineering and Technology
Annotation. The development of technology for the growth of semiconductor nanostructures
has led to the creation of highly efficient electronic and optoelectronic devices. It became possible
to design multilayer structures with the necessary profile of localization, distribution of charge
carriers and electronic spectrum. This progress would not have been possible without the
development of methods for calculating the band structure and intensive experimental studies of
the electrical, magnetic, and optical properties of single-crystal semiconductors. In this article,
oscillations of interband magneto-optical absorption in semiconductors with the Kane dispersion
law are considered. The change in the oscillations of the combined density of states with respect to
the photon energy is compared for different Landau levels in parabolic and non-parabolic bands.
Keywords: semiconductor, electron gas, oscillation, microwave, Landau levels, electric field,
mathematical model, Shubnikov-de Haas oscillations.
The combined density of states (CDS) play an important role in the interband magnetooptical
effect [1-2]. In many cases, the matrix element changes little within the Brillouin zone. Therefore,
the structure of the spectrum is predominantly determined by the CDS in semiconductors.
If the initial and final states have symmetrical band spectra, then using the series expansion
in terms of
0
( , , )
df E
T
dE
functions, one can find the combined density of states at any final
temperature:
0
1
(
, , )
,
,
(
,
)
(1)
n
n
n
i
jds
jds
i
i
df E
T
N
E H T
N
E H
dE
( ,
)
n
jds
i
N
E H
is the combined density of states in a quantizing magnetic field at absolute zero
temperature. This expression at T
0 turns into (2). In this case, the Landau levels appear sharply.
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