Scientific Bulletin. Physical and Mathematical Research


In the article the transparency coefficients of the semiconductor structure, consisting of alternating asymmetric potential barriers and wells, where the Bastard condition is taken into account, are calculated. It is shown that in the structure there should be an oscillation of the transmission coefficient of electrons depending on their energy, which is due to the interference of the de Broglie waves reaching the barrier and reflected from the potential barrier. The electronic states of a multilayer semiconductor structure consisting of alternating potential wells and barriers are analyzed. It has been shown that both in the above-barrier and in the barrier passage of electrons, tunneling oscillations arise, which are associated with the interference of the reflected De Broglie waves. The amplitude, in this case, is determined not only by the values of the wave vectors, but from the values of the effective masses of the current carriers. It has also been shown that this oscillation does not disappear even in symmetric structures if they have a difference in the effective masses of current carriers located in two neighbouring regions. It was shown that in an asymmetric (and symmetric, but with different effective masses of electrons in different layers) semiconductor structure, oscillation should be observed depending on the coefficient of transmission through the potential barrier on the electron energy. This oscillation is due to the interference of waves traveling to the barrier and reflected from the potential barrier. Such an interference phenomenon in the structure does not disappear even in a symmetric structure due to the difference in the effective masses of electrons located in different regions of the structure.

First Page


Last Page



1. Shuka, A.A. (2007) Nanoelektronika [Nanoelectronics]. Moscow: Fizmatknigа. 2. Mladenov, G.M., Spivak, V.M., Koleva, E.G., Bogdan, A.V. (2010) Nanoelektronika. Vvedenie v nanoelektronnye tekhnologii [Nanoelectronics. Introduction to nanoelectronic technology]. In 2 book. Book 1. Kiev – Sofia. Avers. 3. Usanov, D.A., Skripal, A.V. (2013) Fizicheskie osnovy nanoelektroniki [Physical bases of nanoelectronics]. Saratov. 4. Bastard, G. (1988) Wave mechanics applied to semiconductor heterostructures. Les Editions de Physique. Les Ulis Cedex, France; New York, N.Y: Halsted Press. 5. Dragunov, V. P. Neizvestnyj, I.G., Gridchin, V.A. (2006) Osnovy nanoelektroniki [Basics of nanoelectronics]. Moscow: Fizmatkniga. 6. Ivchenko, E.L., Pikus, G.E. (1995) Superlattices and Other Heterostructures: Symmetry and Optical Phenomena, Springer Series in Solid-State Sciences. – Springer-Verlag, Berlin, Heidelberg. 7. Grinyaev, S.N, Chernyshev, V.N. (2003) Osobennosti rasseyaniya elektronov na geterogranicah Alx Ga1−x AsG‘AlAs(001) [Features of electron scattering at the AlxGa1 - xAs G‘ AlAs (001) heterointerfaces] Fizika i tekhnika poluprovodnikov. Vol. 37. Issue 4. Pp. 2057-2061. 8. Elesin, V.F. (2014) Perekhodnye processy v dvuhbar'ernyh nanostrukturah [Transients in two-barrier nanostructures]. Zhurnal eksperimentalnoj i teoreticheskoj fiziki. Vol. 145. Issue 6. Pp. 1078-1086. 9. Elesin, V.F., Kateev, I.Yu. (2008) Vysokochastotnye svojstva dvuh"yamnyh nanostruktur [High-frequency properties of double-well nanostructures]. Fizika i tekhnika poluprovodnikov. Vol. 42. Issue 5. Pp. 586-590. 10. Elesin, V.F. (2005) Vysokochastotnyj otklik dvuhyamnyh struktur [High-frequency response of double-hole structures] Zhurnal eksperimentalnoj i teoreticheskoj fiziki. Vol. 127. Issue 1. Pp. 131-140. 11. Rasulov V.R. (2017) To the Theory of Electron Passage in a Semiconductor Structure Consisting of Alternating Asymmetric Rectangular Potential Wells and Barriers. Russian Physics Journal. Vol. 59. Issue 10. Рp. 1699-1702.

Included in

Physics Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.