bsuirДоклады БГУИРDoklady BGUIR1729-76482708-0382БГУИР10.35596/1729-7648-2021-19-8-20-25bsuir-3239Research ArticleЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКАELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICSEnergy levels of an electron in a circular quantum dot in the presence of spin-orbit interactionsEnergy levels of an electron in a circular quantum dot in the presence of spin-orbit interactionsBaranА. V.BaranA. V.

Aleksandr Valer’evich Baran  -– PhD., Senior Researcher

220072, Republic of Belarus, Minsk, Nezavisimosti Ave., 68-2

a.baran@dragon.bas-net.byKudryashovV. V.KudryashovV. V.

Vladimir V. Kudryashov – Leading Researcher at the B.I. Stepanov Institute of Physics

Minsk

B.I. Stepanov Institute of Physics of the National Academy of ScienceB.I. Stepanov Institute of Physics of the National Academy of Science of Belarus2021020120221982025Copyright © Baran А.V., Kudryashov V.V., 20222022Baran А.V., Kudryashov V.V.Baran A.V., Kudryashov V.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.bsuir.by/jour/article/view/3239

The two-dimensional circular quantum dot in a double semiconductor heterostructure is simulated by a new axially symmetric smooth potential of finite depth and width. The presence of additional potential parameters in this model allows us to describe the individual properties of different kinds of quantum dots. The influence of the Rashba and Dresselhaus spin-orbit interactions on electron states in quantum dot is investigated. The total Hamiltonian of the problem is written as a sum of unperturbed part and perturbation. First, the exact solution of the unperturbed Schrödinger equation was constructed. Each energy level of the unperturbed Hamiltonian was doubly degenerated. Further, the analytical approximate expression for energy splitting was obtained within the framework of perturbation theory, when the strengths of two spin-orbit interactions are close. The numerical results show the dependence of energy levels on potential parameters.

The two-dimensional circular quantum dot in a double semiconductor heterostructure is simulated by a new axially symmetric smooth potential of finite depth and width. The presence of additional potential parameters in this model allows us to describe the individual properties of different kinds of quantum dots. The influence of the Rashba and Dresselhaus spin-orbit interactions on electron states in quantum dot is investigated. The total Hamiltonian of the problem is written as a sum of unperturbed part and perturbation. First, the exact solution of the unperturbed Schrödinger equation was constructed. Each energy level of the unperturbed Hamiltonian was doubly degenerated. Further, the analytical approximate expression for energy splitting was obtained within the framework of perturbation theory, when the strengths of two spin-orbit interactions are close. The numerical results show the dependence of energy levels on potential parameters.

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The authors declare that there are no conflicts of interest present.