Energy levels of an electron in a circular quantum dot in the presence of spin-orbit interactions
https://doi.org/10.35596/1729-7648-2021-19-8-20-25
Abstract
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.
About the Authors
A. V. Baran
B.I. Stepanov Institute of Physics of the National Academy of Science of Belarus
Belarus
Belarus
Aleksandr Valer’evich Baran -– PhD., Senior Researcher
220072, Republic of Belarus, Minsk, Nezavisimosti Ave., 68-2
V. V. Kudryashov
B.I. Stepanov Institute of Physics of the National Academy of Science of Belarus
Belarus
Belarus
Vladimir V. Kudryashov – Leading Researcher at the B.I. Stepanov Institute of Physics
Minsk
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Review
For citations:
Baran A.V., Kudryashov V.V. Energy levels of an electron in a circular quantum dot in the presence of spin-orbit interactions. Doklady BGUIR. 2021;19(8):20-25. https://doi.org/10.35596/1729-7648-2021-19-8-20-25
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