Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects
Within the framework of effective mass theory, we investigate the effects of spin–orbit interaction (SOI) and Zeeman splitting on the electronic properties of an electron confined in GaAs single quantum rings. Energies and envelope wavefunctions in the system are determined by solving the Schrödinge...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/13/9/1461 |
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| author | José C. León-González Rafael G. Toscano-Negrette A. L. Morales J. A. Vinasco M. B. Yücel H. Sari E. Kasapoglu S. Sakiroglu M. E. Mora-Ramos R. L. Restrepo C. A. Duque |
| author_facet | José C. León-González Rafael G. Toscano-Negrette A. L. Morales J. A. Vinasco M. B. Yücel H. Sari E. Kasapoglu S. Sakiroglu M. E. Mora-Ramos R. L. Restrepo C. A. Duque |
| author_sort | José C. León-González |
| collection | DOAJ |
| description | Within the framework of effective mass theory, we investigate the effects of spin–orbit interaction (SOI) and Zeeman splitting on the electronic properties of an electron confined in GaAs single quantum rings. Energies and envelope wavefunctions in the system are determined by solving the Schrödinger equation via the finite element method. First, we consider an inversely quadratic model potential to describe electron confining profiles in a single quantum ring. The study also analyzes the influence of applied electric and magnetic fields. Solutions for eigenstates are then used to evaluate the linear inter-state light absorption coefficient through the corresponding resonant transition energies and electric dipole matrix moment elements, assuming circular polarization for the incident radiation. Results show that both SOI effects and Zeeman splitting reduce the absorption intensity for the considered transitions compared to the case when these interactions are absent. In addition, the magnitude and position of the resonant peaks have non-monotonic behavior with external magnetic fields. Secondly, we investigate the electronic and optical properties of the electron confined in the quantum ring with a topological defect in the structure; the results show that the crossings in the energy curves as a function of the magnetic field are eliminated, and, therefore, an improvement in transition energies occurs. In addition, the dipole matrix moments present a non-oscillatory behavior compared to the case when a topological defect is not considered. |
| first_indexed | 2024-03-11T04:11:24Z |
| format | Article |
| id | doaj.art-aae19fda3d254175ac7edcaadcf756b9 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-11T04:11:24Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-aae19fda3d254175ac7edcaadcf756b92023-11-17T23:26:22ZengMDPI AGNanomaterials2079-49912023-04-01139146110.3390/nano13091461Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological DefectsJosé C. León-González0Rafael G. Toscano-Negrette1A. L. Morales2J. A. Vinasco3M. B. Yücel4H. Sari5E. Kasapoglu6S. Sakiroglu7M. E. Mora-Ramos8R. L. Restrepo9C. A. Duque10Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 050010, ColombiaGrupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 050010, ColombiaGrupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 050010, ColombiaGrupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 050010, ColombiaDepartment of Physics, Faculty of Science, Akdeniz University, 07058 Antalya, TurkeyDepartment of Mathematical and Natural Science, Faculty of Education, Sivas Cumhuriyet University, 58140 Sivas, TurkeyDepartment of Physics, Faculty of Science, Sivas Cumhuriyet University, 58140 Sivas, TurkeyDokuz Eylul University, Faculty of Science, Physics Department, 35390 Izmir, TurkeyCentro de Investigación en Ciencias, Instituto de Investigación en Ciencias Básicas y Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Cuernavaca CP 62209, Morelos, MexicoUniversidad EIA, Envigado 055428, ColombiaGrupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín 050010, ColombiaWithin the framework of effective mass theory, we investigate the effects of spin–orbit interaction (SOI) and Zeeman splitting on the electronic properties of an electron confined in GaAs single quantum rings. Energies and envelope wavefunctions in the system are determined by solving the Schrödinger equation via the finite element method. First, we consider an inversely quadratic model potential to describe electron confining profiles in a single quantum ring. The study also analyzes the influence of applied electric and magnetic fields. Solutions for eigenstates are then used to evaluate the linear inter-state light absorption coefficient through the corresponding resonant transition energies and electric dipole matrix moment elements, assuming circular polarization for the incident radiation. Results show that both SOI effects and Zeeman splitting reduce the absorption intensity for the considered transitions compared to the case when these interactions are absent. In addition, the magnitude and position of the resonant peaks have non-monotonic behavior with external magnetic fields. Secondly, we investigate the electronic and optical properties of the electron confined in the quantum ring with a topological defect in the structure; the results show that the crossings in the energy curves as a function of the magnetic field are eliminated, and, therefore, an improvement in transition energies occurs. In addition, the dipole matrix moments present a non-oscillatory behavior compared to the case when a topological defect is not considered.https://www.mdpi.com/2079-4991/13/9/1461spin–orbit interactionZeeman splittingcircularly polarized lighttopological defectoptical absorption coefficient |
| spellingShingle | José C. León-González Rafael G. Toscano-Negrette A. L. Morales J. A. Vinasco M. B. Yücel H. Sari E. Kasapoglu S. Sakiroglu M. E. Mora-Ramos R. L. Restrepo C. A. Duque Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects Nanomaterials spin–orbit interaction Zeeman splitting circularly polarized light topological defect optical absorption coefficient |
| title | Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects |
| title_full | Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects |
| title_fullStr | Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects |
| title_full_unstemmed | Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects |
| title_short | Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects |
| title_sort | spin orbit and zeeman effects on the electronic properties of single quantum rings applied magnetic field and topological defects |
| topic | spin–orbit interaction Zeeman splitting circularly polarized light topological defect optical absorption coefficient |
| url | https://www.mdpi.com/2079-4991/13/9/1461 |
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