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Oscillations of transverse magnetoresistance in the conduction band of quantum wells at different temperatures and magnetic fields

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Abstract

In this work, the influence of two-dimensional state density on oscillations of transverse electrical conductivity in heterostructures with rectangular quantum wells is investigated. A new analytical expression is derived for calculating the temperature dependence of the transverse electrical conductivity oscillation and the magnetoresistance of a quantum well. For the first time, a mechanism is developed for oscillating the transverse electrical conductivity and magnetoresistance of a quantum well from the first-order derivative of the magnetic field (differential) \(\frac{{\partial \left( {\rho_{ \bot }^{2d} (E,B,T,d)} \right)}}{\partial B}\) at low temperatures and weak magnetic fields. The oscillations of electrical conductivity and magnetoresistance of a narrow-band quantum well with a non-parabolic dispersion law are investigated. The proposed theory investigates the results of experiments of a narrow-band quantum well (InxGa1−xSb). The experiment shows that the oscillations of the transverse magnetoresistance of the InxGa1−xSb quantum filament, measured at a temperature of 2 K, transform into a continuous energy spectrum due to thermal washing under the influence of the temperature growth dynamics.

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Data availability

Data publicly available in a repository: The dataset on effective masses of free electrons and holes are available at https://doi.org/10.1016/j.phpro.2015.09.087 and https://doi.org/10.1063/1.4867086. The dataset on the number of occupied zones, spin degeneration, quantum relaxation time and other kinetic parameters is available at https://doi.org/10.1063/1.4770520. The dataset on semiclassical theory of magnetoresistance oscillation are available at https://doi.org/10.1088/0953-8984/27/43/435007 and https://doi.org/10.1088/1742-6596/456/1/012004. The dataset on various experimental results on determining the temperature dependence of Shubnikov–de Haas oscillations in heterostructures with quantum wells are available at https://doi.org/10.1088/0022-3727/48/30/305108, https://doi.org/10.1186/1556-276X-9-141, https://doi.org/10.1016/j.sse.2011.04.005, https://doi.org/10.1134/S1063782615020165, https://doi.org/10.1002/adfm.202004450, https://doi.org/10.1002/adma.202007862, https://doi.org/10.1103/PhysRevB.103.205305, https://doi.org/10.21883/FTT.2021.12.51654.33 s, https://doi.org/10.1142/S0217979214500015 and https://doi.org/10.1063/1.3536348. The dataset on two-dimensional density of energy states in the conduction band of a quantum wells is available at https://doi.org/10.1002/pssb.201349251. The dataset on electrical conductivity of electrons or holes in nanoscale semiconductor structures is available at https://doi.org/10.1070/PU1969v011n05ABEH003739. The dataset on energy and temperature dependence of the relaxation time is available at https://archive.org/details/anselm-introduction-to-semiconductor-theory-mir. The dataset on energy of charge carriers in the conduction band is available at https://doi.org/10.1155/2016/5434717.

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  1. Namangan Institute of Engineering and Technology, 160115, Namangan, Uzbekistan

    U. I. Erkaboev & R. G. Rakhimov

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Both authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by UE and RR. The first draft of the manuscript was written by UE and both authors commented on previous versions of the manuscript. Both authors read and approved the final manuscript.

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Correspondence to R. G. Rakhimov.

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Erkaboev, U.I., Rakhimov, R.G. Oscillations of transverse magnetoresistance in the conduction band of quantum wells at different temperatures and magnetic fields. J Comput Electron 23, 279–290 (2024). https://doi.org/10.1007/s10825-024-02130-3

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