**UI Erkaboev*, UM Negmatov, JI Mirzaev, NA Sayidov and RG Rakhimov**

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Department of Automation and Control of Technological Processes and Information Technology, Namangan Institute of Engineering and Technology, Uzbekistan
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***Corresponding Author:** UI Erkaboev, Department of Automation and Control of Technological Processes and Information Technology, Namangan Institute of Engineering and Technology, Uzbekistan.

**Received:
** December 13, 2021; **Published:** February 25, 2022

At present, the interest in applied and fundamental research in the field of condensed matter physics has shifted from bulk materials to nanoscale semiconductor structures. Of particular interest are the properties of the energy spectrum of charge carriers in low-dimensional semiconductor structures exposed to a quantizing magnetic field. Quantization of the energy levels of free electrons and holes in a quantizing magnetic field leads to a significant change in the form of oscillations of the density of energy states in two-dimensional semiconductor structures. Thus, in this manuscript, we investigated the effect of the temperature and thickness of the quantum well on the oscillations of the density of energy states in the conduction band of nanoscale semiconductor structures. A new mathematical model has been developed for calculating the temperature dependence of the oscillations of the density of states in a rectangular quantum well under the influence of a transverse quantizing magnetic field. Using the proposed model, the experimental results were explained at different temperatures and magnetic fields

**Keywords: **Nanoscale; Semiconductor; Low-dimensional Semiconductor Structures; Quantizing Magnetic Field; Density of Energy States; Quantum Well; Mathematical Model; Transverse Quantization

- Glutsch S.,
*et al.*“Density of states of a two-dimensional electron gas in a perpendicular magnetic field and a random field of arbitrary correlation”.*Journal of Physics: Condensed Matter*15 (2003):1305- 1323. - G Gulyamov.,
*et al*. “Influence of temperature on the oscillations of longitudinal magnetoresistance in semiconductors with a nonparabolic dispersion law”.*Indian Journal of Physics*93 (2019): 639-645. - Dubrovsky IM. “A new theory of an electron gas in a magnetic field and problems for theory and experiment”.
*Progress in Physics of Metals*17 (2016): 53-81. - Erkaboev UI.,
*et al*. “A new method for determining the bandgap in semiconductors in presence of external action taking into account lattice vibrations”.*Indian Journal of Physics*95 (2021): 1959. - Kytin VG.,
*et al*. “Determination of density of electronic states using the potential dependence of electron density measured at nonzero temp”.*Physical Review B*70 (2004): 193304-1-193304-4. - Dubrovskyi IM. “Density of one-particle states for 2D electron gas in magnetic field”.
*Condensed Matter Physics*16 (2013): 13001-1 -13001-10. - Sablikova VA.,
*et al*. “Singularity of the density of states and transport anisotropy in a two-dimensional electron gas with spin-orbit interaction in an in-plane magnetic field”.*Semiconductors*52 (2018) 1581-1585. - Krasavin AV.,
*et al*. “Calculation of density of states of transition metals: From bulk sample to nanocluster”.*Review of Scientific Instruments*89 (2018): 033907-1-033907-5. - Burmistrov IS.,
*et al*. “On the effect of far impurities on the density of states of two-dimensional electron gas in a strong magnetic field”.*Journal of Experimental and Theoretical Physics Letters*78 (2003): 156-161. - Erkaboev UI.,
*et al*. “Mathematical modeling determination coefficient of magneto-optical absorption in semiconductors in presence of external pressure and temperature”.*Modern Physics Letters B*35 (2021): 2150293. - Erkaboev UI.,
*et al*. “Calculation of the Fermi-Dirac Function Distribution in Two-Dimensional Semiconductor Materials at High Temperatures and Weak Magnetic Fields”.*Nano*16 (2021): 2150102. - Gulyamov G.,
*et al*. “On temperature dependence of longitudinal electrical conductivity oscillations in narrow-gap electronic semiconductors”.*Journal of Nano- and Electronic Physics*12 (2020):03012. - Neverov VN.,
*et al*. “Physics of low-dimensional systems”. Yekaterinburg, edition. "IONTS nanotechnology and advanced materials" (2008): 71-80. - Gulyamov G.,
*et al*. “The influence of temperature on magnetic quantum effects in semiconductor structures”.*Journal of Applied Science and Engineering*23 (2020): 453-460. - Erkaboev UI.,
*et al*. “Modeling on the temperature dependence of the magnetic susceptibility and electrical conductivity oscillations in narrow-gap semiconductors”.*International Journal of Modern Physics B*34 (2020): 2050052. - Baymatov PJ.,
*et al*. “Features of the chemical potential of a quasi-two-dimensional electron gas at low-temperatures”.*International Journal of Modern Physics B*35 (2021): 2150070. - Gulyamov G.,
*et al*. “Effect of temperature on the thermodynamic density of states in a quantizing magnetic field”.*Semiconductors*48 (2014): 1323-1328. - Gulyamov G.,
*et al*. “Three-Band Simulation of the g -Factor of an Electron in an InAs Quantum Well in Strong Magnetic Fields”.*Journal of Nanomaterials*2021 (2021): 5542559. - Gulyamov G.,
*et al*. “The de Haas-van Alphen effect at high temperatures and in low magnetic fields in semiconductors”.*Modern Physics Letters B*30 (2016): 1650077-1-1650077-7. - Gulyamov G.,
*et al*. “Determination of the density of energy states in a quantizing magnetic field for model Kane”.*Advances in Condensed Matter Physics*2016 (2016): 5434717-1-5434717-1. - Gulyamov G.,
*et al*. “Influence of pressure on the temperature dependence of quantum oscillation phenomena in semiconductors”.*Advances in Condensed Matter Physics*2017 (2017): 6747853-1-6747853-6. - Bovkun LS.,
*et al*. “Magneto-optics of quantum wells based on HgTe / CdTe with giant Rashba splitting in magnetic fields up to 34 T”.*Semiconductors*52 (2018): 1386-1391. - Klochkov AN. “Electronic spectrum in modulated - doped InGaAs / InAlAs heterostructures on GaAs and InP substrates”. Thesis. Ph.D. Moscow, Institute of Microwave Semiconductor Electronics RAS (2015): 63-76.
- Hou-zhi Zh.,
*et al*. “Density of states of the two-dimensional electron gas studied by magneto capacitances of biased double – barrier structures”.*Physical Review B*49 (1994): 1802-1808. - Baymatov PJ.,
*et al*. “On the Heat Capacity of a Quasi-Two-Dimensional Electron Gas”.*Advances in Condensed Matter Physics*2019 (2019): 8317278. - Baymatov PJ.,
*et al*. “Concentration dependences of the electron effective mass, Fermi energy, and filling of subbands in doped InAs/AlSb quantum wells”.*Ukrainian Journal of Physics*62 (2017): 46-50. - Gulyamov G.,
*et al*. “Magnetic Quantum Effects in Electronic Semiconductors at Microwave-radiation Absorption”.*Journal of Nano – and Electronic Physics*11 (2019): 01020. - Gulyamov G.,
*et al*. “The Temperature Dependence of the Density of States in Semiconductors”.*World Journal of Condensed Matter Physics*3 (2013): 216-220. - Erkaboev UI.,
*et al*. “The Influence of External Factors on Quantum Magnetic Effects in Electronic Semiconductor Structures”.*International Journal of Innovative Technology and Exploring Engineering*9 (2020): 1557-1563.

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Citation: ** UI Erkaboev.,

**Copyright: ** © 2022 UI Erkaboev., *et al.* This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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