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Bog'liq ТўпламNamangan Institute of Engineering and Technology
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10.25.2023
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
,
,
, d, n
,
, d, n
1
1
,
2
2
2
2
1
1
,
2
2
2
2
e
p
L
L
L
L
d
e
d
h
g
c
c
e
V
c
h
e
e
h
h
g
c
c
e
V
c
h
e
h
e
e
h
h
g
c
V
c
c
e
h
e
h
g
E
B d
E
E
E
E
E
B d
E
N
n
E
N
n
m d
m d
E
B d
E
E
N
N
n
n
m d
m d
E
B
2
2
2
2
2
2
2
2
1
1
,
0
2
2
2
2
L
L
e
e
h
h
g
c
c
e
h
e
h
d
E
T
N
N
n
n
m d
m d
(6)
Using the above formula, we also obtain the temperature dependence formula. For this we
use Varshni's empirical expression.
2
1
2
0
g
g
T
E
T
E
T
(7)
Hence, substituting (7) into (6), we obtain the effect of the transverse quantizing magnetic
field on the temperature dependence of the band gap of a quantum well with a parabolic dispersion
law:
2
2
2
2
2
0
2
2
1
2
2
2
1
1
, Т,
0
2
2
2
2
g
L
L
d
e
e
h
h
g
c
c
e
h
e
h
T
E
B
d
E
N
N
n
n
T
m d
m d
(8)
References:
1.
Erkaboev, U.I., Rakhimov, R.G. Determination of the dependence of the oscillation of
transverse electrical conductivity and magnetoresistance on temperature in heterostructures based
on quantum wells. East European Journal of Physics, 2023(3), pp.133–145.
2.
Erkaboev, U.I., Rakhimov, R.G. Simulation of temperature dependence of oscillations of
longitudinal magnetoresistance in nanoelectronic semiconductor materials. e-Prime - Advances in
Electrical Engineering, Electronics and Energy, 2023, 5, 100236.
3.
Gulyamov, G., Erkaboev, U.I., Rakhimov, R.G., Mirzaev, J.I., Sayidov, N.A. Determination
of the dependence of the two-dimensional combined density of states on external factors in
quantum-dimensional heterostructures. Modern Physics Letters B, 2023, 37(10), 2350015
4.
Erkaboev, U.I., Rakhimov, R.G., Sayidov, N.A., Mirzaev, J.I. Modeling the temperature
dependence of the density oscillation of energy states in two-dimensional electronic gases under
the impact of a longitudinal and transversal quantum magnetic fields. Indian Journal of Physic, 2023,
97(4), pp.1061–1070.
5.
Erkaboev, U.I., Sayidov, N.A., Negmatov, U.M., Mirzaev, J.I., Rakhimov, R.G. Influence
temperature and strong magnetic field on oscillations of density of energy states in heterostructures
with quantum wells HgCdTe/CdHgTe. E3S Web of Conferences. 2023. Vol.401,Article ID 01090
6.
Erkaboev, U.I., Sayidov, N.A., Negmatov, U.M., Rakhimov, R.G., Mirzaev, J.I. Temperature
dependence of width band gap in In
x
Ga
1-x
As quantum well in presence of transverse strong
magnetic field. E3S Web of Conferences. 2023. Vol.401, Article ID 04042
7.
Erkaboev, U., Rakhimov, R., Mirzaev, J., Sayidov N., Negmatov, U., Abduxalimov, M.
Calculation of oscillations in the density of energy states in heterostructural materials with quantum
wells. AIP Conference Proceedings. 2023. Vol.2789, Article ID 040055
8.
Erkaboev, U., Rakhimov, R., Mirzaev, J., Sayidov N., Negmatov, U., Mashrapov, A.
Determination of the band gap of heterostructural materials with quantum wells at strong magnetic
field and high temperature. AIP Conference Proceedings. 2023. Vol.2789, Article ID 040056
9.
Erkaboev, U.I., Rakhimov, R.G., Negmatov, U.M., Sayidov, N.A., Mirzaev, J.I. Influence of
a strong magnetic field on the temperature dependence of the two-dimensional combined density
of states in InGaN/GaN quantum well heterostructures. Romanian Journal of Physics, 2023, 68(5-
6),614
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