Theoretical and Mathematical Physics

Electronic spectrum of complex one-dimensional superlattices (based on semiconductor heterostructures in the Al/Ga/As system)

I. E. Dragunov^a, E. A. Pilipenko^a, Yu. A. Semenyuk^a, I. L. Lubchanskii<sup>ab

a</sup> Galkin Donetsk Institute for Physics and Engineering, Donetsk
^b Donetsk National University

Abstract: A one-dimensional superlattice with a simple unit cell consisting of two potential wells and two barriers with different widths and heights is studied within the Kronig–Penney model. A dispersion equation for such a structure is obtained. A numerical analysis of this equation is carried out and the behavior of the electron spectrum of the superlattice GaAs/Al$_{0.5}$Ga$_{0.5}$As/GaAs/Al$_x$Ga$_{1-x}$As is investigated depending on the ratio of the wells and barriers widths, as well as barriers heights.

Keywords: superlattice, Kronig–Penney model, potential well, potential barrier, band structure.

Received: 19.02.2025
Revised: 01.04.2025
Accepted: 04.04.2025

DOI: 10.61011/JTF.2025.08.60895.23-25

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