Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model
In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-dir...
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MDPI AG
2020-09-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/10/10/1896 |
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| author | David B. Hayrapetyan Eduard M. Kazaryan Mher A. Mkrtchyan Hayk A. Sarkisyan |
| author_facet | David B. Hayrapetyan Eduard M. Kazaryan Mher A. Mkrtchyan Hayk A. Sarkisyan |
| author_sort | David B. Hayrapetyan |
| collection | DOAJ |
| description | In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized. |
| first_indexed | 2024-03-10T16:07:34Z |
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| id | doaj.art-69a976b9414e4775aae5128dcc8bfdf1 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T16:07:34Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
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| series | Nanomaterials |
| spelling | doaj.art-69a976b9414e4775aae5128dcc8bfdf12023-11-20T14:45:46ZengMDPI AGNanomaterials2079-49912020-09-011010189610.3390/nano10101896Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky ModelDavid B. Hayrapetyan0Eduard M. Kazaryan1Mher A. Mkrtchyan2Hayk A. Sarkisyan3Institute of Engineering and Physics, Russian-Armenian University, 123 Hovsep Emin Str., Yerevan 0051, ArmeniaInstitute of Engineering and Physics, Russian-Armenian University, 123 Hovsep Emin Str., Yerevan 0051, ArmeniaInstitute of Engineering and Physics, Russian-Armenian University, 123 Hovsep Emin Str., Yerevan 0051, ArmeniaInstitute of Engineering and Physics, Russian-Armenian University, 123 Hovsep Emin Str., Yerevan 0051, ArmeniaIn this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized.https://www.mdpi.com/2079-4991/10/10/1896Kohn theoremellipsoidal quantum dothole gasMoshinsky modeladiabatic approximation |
| spellingShingle | David B. Hayrapetyan Eduard M. Kazaryan Mher A. Mkrtchyan Hayk A. Sarkisyan Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model Nanomaterials Kohn theorem ellipsoidal quantum dot hole gas Moshinsky model adiabatic approximation |
| title | Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model |
| title_full | Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model |
| title_fullStr | Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model |
| title_full_unstemmed | Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model |
| title_short | Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model |
| title_sort | long wave absorption of few hole gas in prolate ellipsoidal ge si quantum dot implementation of analytically solvable moshinsky model |
| topic | Kohn theorem ellipsoidal quantum dot hole gas Moshinsky model adiabatic approximation |
| url | https://www.mdpi.com/2079-4991/10/10/1896 |
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