Energy Levels in Nanowires and Nanorods with a Finite Potential Well
The energy of electrons and holes in cylindrical quantum wires with a finite potential well was calculated by two methods. An analytical expression is approximately determined that allows one to calculate the energy of electrons and holes at the first discrete level in a cylindrical quantum wire. Th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/4945080 |
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| author | G. Gulyamov A. G. Gulyamov A. B. Davlatov Kh. N. Juraev |
| author_facet | G. Gulyamov A. G. Gulyamov A. B. Davlatov Kh. N. Juraev |
| author_sort | G. Gulyamov |
| collection | DOAJ |
| description | The energy of electrons and holes in cylindrical quantum wires with a finite potential well was calculated by two methods. An analytical expression is approximately determined that allows one to calculate the energy of electrons and holes at the first discrete level in a cylindrical quantum wire. The electron energy was calculated by two methods for cylindrical layers of different radius. In the calculations, the nonparabolicity of the electron energy spectrum is taken into account. The dependence of the effective masses of electrons and holes on the radius of a quantum wires is determined. An analysis is made of the dependence of the energy of electrons and holes on the internal and external radii, and it is determined that the energy of electrons and holes in cylindrical layers with a constant thickness weakly depends on the internal radius. The results were obtained for the InP/InAs heterostructures. |
| format | Article |
| id | doaj-art-50e55c4bd4a248beb7245dff0e42a7c8 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-50e55c4bd4a248beb7245dff0e42a7c82025-08-20T03:36:14ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242020-01-01202010.1155/2020/49450804945080Energy Levels in Nanowires and Nanorods with a Finite Potential WellG. Gulyamov0A. G. Gulyamov1A. B. Davlatov2Kh. N. Juraev3Namangan Engineering Construction Institute, 12 Islam Karimov Street, Namangan 160103, UzbekistanPhysical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov Street, 2 “B”, Tashkent 100084, UzbekistanPhysical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov Street, 2 “B”, Tashkent 100084, UzbekistanPhysical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov Street, 2 “B”, Tashkent 100084, UzbekistanThe energy of electrons and holes in cylindrical quantum wires with a finite potential well was calculated by two methods. An analytical expression is approximately determined that allows one to calculate the energy of electrons and holes at the first discrete level in a cylindrical quantum wire. The electron energy was calculated by two methods for cylindrical layers of different radius. In the calculations, the nonparabolicity of the electron energy spectrum is taken into account. The dependence of the effective masses of electrons and holes on the radius of a quantum wires is determined. An analysis is made of the dependence of the energy of electrons and holes on the internal and external radii, and it is determined that the energy of electrons and holes in cylindrical layers with a constant thickness weakly depends on the internal radius. The results were obtained for the InP/InAs heterostructures.http://dx.doi.org/10.1155/2020/4945080 |
| spellingShingle | G. Gulyamov A. G. Gulyamov A. B. Davlatov Kh. N. Juraev Energy Levels in Nanowires and Nanorods with a Finite Potential Well Advances in Condensed Matter Physics |
| title | Energy Levels in Nanowires and Nanorods with a Finite Potential Well |
| title_full | Energy Levels in Nanowires and Nanorods with a Finite Potential Well |
| title_fullStr | Energy Levels in Nanowires and Nanorods with a Finite Potential Well |
| title_full_unstemmed | Energy Levels in Nanowires and Nanorods with a Finite Potential Well |
| title_short | Energy Levels in Nanowires and Nanorods with a Finite Potential Well |
| title_sort | energy levels in nanowires and nanorods with a finite potential well |
| url | http://dx.doi.org/10.1155/2020/4945080 |
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