Calculation of the energy levels and wave functions of electrons in nanowires by the shooting method

G. Gulyamov; A. B. Davlatov; S. T. Inoyatov; S. A. Makhmudov

doi:10.6180/jase.202202_25(1).0004

Calculation of the energy levels and wave functions of electrons in nanowires by the shooting method

Physics

G. Gulyamov¹, A.B. Davlatov This email address is being protected from spambots. You need JavaScript enabled to view it.², S.T. Inoyatov³, and S.A. Makhmudov³

¹Namangan Engineering Construction Institute, 12 Islam Karimov Street, Namangan 160103, Uzbekistan
²Physical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov Street, 2 “B”, Tashkent 100084, Uzbekistan
³Namangan State University,316 Uychi Street, Namangan 160136, Uzbekistan

Received: April 1, 2021
Accepted: June 14, 2021
Publication Date: July 6, 2021

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202202_25(1).0004

ABSTRACT

In this work, the energy levels and wave functions in rectangular and cylindrical nanowires with a finite potential well are calculated. The Schrödinger equation in Cartesian and cylindrical coordinate systems was solved by the shooting method. The calculations take into account the nonparabolicity of the energy spectrum of electrons. The graphs of the dependence of the energy levels on the sizes of nanowires are obtained. When calculating the energy levels and wave functions, changes in the effective mass of electrons were taken into account. The calculations were performed for the quantum well of the InP/InAs/InP heterostructure.

Keywords: Nanowires, Quantum wells, Heterostructure, Energy levels, Wave function, Nonparabolic zone

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