Nanostructure with periodic position dependent electron effective mass

Volodymyr M. Burdeynyy; Andrzej Kociubiński; Mukaddas Arshidinova

doi:10.1117/12.2536249

6 November 2019 Nanostructure with periodic position dependent electron effective mass

Volodymyr M. Burdeynyy, Andrzej Kociubiński, Mukaddas Arshidinova

Proceedings Volume 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019; 111764N (2019) https://doi.org/10.1117/12.2536249
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 2019, Wilga, Poland

Abstract

This communication has been dedicated to spectral properties of system composing of periodic arrays of layers which form superlattice with electron effective mass dependent on coordinate inside of each layer. We considered one dimensional model which admits to obtain the exact solution of wave equation. The position dependent mass inside the layer was represented by the linear function. We has found wave functions in their explicit and exact forms as well as the secular equation for the energy eiguen values. The energy spectrum of electrons as expected manifests properties typical for periodic nanostructures.

Citation Download Citation

Volodymyr M. Burdeynyy, Andrzej Kociubiński, and Mukaddas Arshidinova "Nanostructure with periodic position dependent electron effective mass", Proc. SPIE 11176, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2019, 111764N (6 November 2019); https://doi.org/10.1117/12.2536249

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