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QUANTUM WELLS IN GRAPHENE WITH A MASS GAP

https://doi.org/10.56304/S2079562925060132

EDN: LXUMAD

Abstract

The paper considers a model of a quantum well on the basis of graphene on a substrate generating a mass gap. The analyzed situation is when there is a defect in the substrate structure, and the graphene structure remains ideal. Such a defect provides spatial inhomogeneity of the mass gap. The paper shows that the inhomogeneity of the mass gap leads to the appearance of a quantum well for both electron and hole excitations. Based on the two-dimensional Dirac field model, localized electron and hole states are investigated, their energy spectrum and wavefunctions are obtained. Various quantum wells obtained on the basis of inhomogeneities of different sizes and shapes are studied. A nontrivial dependence of localized states energy spectrum on the well parameters is shown.

About the Authors

G. A. Krasukov
National Research Centre ”Kurchatov Institute”; Lomonosov Moscow State University
Russian Federation


O. V. Pavlovsky
National Research Centre ”Kurchatov Institute”; Lomonosov Moscow State University
Russian Federation


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Review

For citations:


Krasukov G.A., Pavlovsky O.V. QUANTUM WELLS IN GRAPHENE WITH A MASS GAP. Nuclear Physics and Engineering. 2026;17(2):337-346. (In Russ.) https://doi.org/10.56304/S2079562925060132. EDN: LXUMAD

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ISSN 2079-5629 (Print)
ISSN 2079-5637 (Online)