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Acceptor and band states in quantum wells in multiband model
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| Zeitschriftentitel: | Journal of Physics: Conference Series |
|---|---|
| Personen und Körperschaften: | , , , , |
| In: | Journal of Physics: Conference Series, 1236, 2019, 1, S. 012006 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
IOP Publishing
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| Schlagwörter: |
| author_facet |
Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E |
|---|---|
| author |
Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E |
| spellingShingle |
Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E Journal of Physics: Conference Series Acceptor and band states in quantum wells in multiband model General Physics and Astronomy |
| author_sort |
vinnichenko, m ya |
| spelling |
Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1236/1/012006 <jats:title>Abstract</jats:title> <jats:p>We developed the framework for numerical calculation of the valence band dispersion in quantum well structures and the energy spectrum of the shallow acceptor in QWs. We used the finite-difference method to quantize the Luttinger-Kohn Hamiltonian and the decomposition of the impurity potential over the eigenstates of the Luttinger-Kohn Hamiltonian with the QW profile to obtain the acceptor states energies and wavefunction in <jats:inline-formula> <jats:tex-math><?CDATA $\overrightarrow{k}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mover accent="true"> <mml:mi>k</mml:mi> <mml:mo>→</mml:mo> </mml:mover> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1236_1_012006_ieqn1.gif" xlink:type="simple" /> </jats:inline-formula>-space. Developed approach allows one to calculate the energies of the acceptor states with spherical symmetry for an arbitrary QW potential profile with the coordinate-dependent material parameters.</jats:p> Acceptor and band states in quantum wells in multiband model Journal of Physics: Conference Series |
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IOP Publishing |
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Journal of Physics: Conference Series |
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| title |
Acceptor and band states in quantum wells in multiband model |
| title_unstemmed |
Acceptor and band states in quantum wells in multiband model |
| title_full |
Acceptor and band states in quantum wells in multiband model |
| title_fullStr |
Acceptor and band states in quantum wells in multiband model |
| title_full_unstemmed |
Acceptor and band states in quantum wells in multiband model |
| title_short |
Acceptor and band states in quantum wells in multiband model |
| title_sort |
acceptor and band states in quantum wells in multiband model |
| topic |
General Physics and Astronomy |
| url |
http://dx.doi.org/10.1088/1742-6596/1236/1/012006 |
| publishDate |
2019 |
| physical |
012006 |
| description |
<jats:title>Abstract</jats:title>
<jats:p>We developed the framework for numerical calculation of the valence band dispersion in quantum well structures and the energy spectrum of the shallow acceptor in QWs. We used the finite-difference method to quantize the Luttinger-Kohn Hamiltonian and the decomposition of the impurity potential over the eigenstates of the Luttinger-Kohn Hamiltonian with the QW profile to obtain the acceptor states energies and wavefunction in <jats:inline-formula>
<jats:tex-math><?CDATA $\overrightarrow{k}$?></jats:tex-math>
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mover accent="true">
<mml:mi>k</mml:mi>
<mml:mo>→</mml:mo>
</mml:mover>
</mml:math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1236_1_012006_ieqn1.gif" xlink:type="simple" />
</jats:inline-formula>-space. Developed approach allows one to calculate the energies of the acceptor states with spherical symmetry for an arbitrary QW potential profile with the coordinate-dependent material parameters.</jats:p> |
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| author | Vinnichenko, M Ya, Makhov, I S, Sofronov, A N, Firsov, D A, Vorobjev, L E |
| author_facet | Vinnichenko, M Ya, Makhov, I S, Sofronov, A N, Firsov, D A, Vorobjev, L E, Vinnichenko, M Ya, Makhov, I S, Sofronov, A N, Firsov, D A, Vorobjev, L E |
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| description | <jats:title>Abstract</jats:title> <jats:p>We developed the framework for numerical calculation of the valence band dispersion in quantum well structures and the energy spectrum of the shallow acceptor in QWs. We used the finite-difference method to quantize the Luttinger-Kohn Hamiltonian and the decomposition of the impurity potential over the eigenstates of the Luttinger-Kohn Hamiltonian with the QW profile to obtain the acceptor states energies and wavefunction in <jats:inline-formula> <jats:tex-math><?CDATA $\overrightarrow{k}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mover accent="true"> <mml:mi>k</mml:mi> <mml:mo>→</mml:mo> </mml:mover> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1236_1_012006_ieqn1.gif" xlink:type="simple" /> </jats:inline-formula>-space. Developed approach allows one to calculate the energies of the acceptor states with spherical symmetry for an arbitrary QW potential profile with the coordinate-dependent material parameters.</jats:p> |
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| imprint_str_mv | IOP Publishing, 2019 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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| physical | 012006 |
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| series | Journal of Physics: Conference Series |
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| spelling | Vinnichenko, M Ya Makhov, I S Sofronov, A N Firsov, D A Vorobjev, L E 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1236/1/012006 <jats:title>Abstract</jats:title> <jats:p>We developed the framework for numerical calculation of the valence band dispersion in quantum well structures and the energy spectrum of the shallow acceptor in QWs. We used the finite-difference method to quantize the Luttinger-Kohn Hamiltonian and the decomposition of the impurity potential over the eigenstates of the Luttinger-Kohn Hamiltonian with the QW profile to obtain the acceptor states energies and wavefunction in <jats:inline-formula> <jats:tex-math><?CDATA $\overrightarrow{k}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mover accent="true"> <mml:mi>k</mml:mi> <mml:mo>→</mml:mo> </mml:mover> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1236_1_012006_ieqn1.gif" xlink:type="simple" /> </jats:inline-formula>-space. Developed approach allows one to calculate the energies of the acceptor states with spherical symmetry for an arbitrary QW potential profile with the coordinate-dependent material parameters.</jats:p> Acceptor and band states in quantum wells in multiband model Journal of Physics: Conference Series |
| spellingShingle | Vinnichenko, M Ya, Makhov, I S, Sofronov, A N, Firsov, D A, Vorobjev, L E, Journal of Physics: Conference Series, Acceptor and band states in quantum wells in multiband model, General Physics and Astronomy |
| title | Acceptor and band states in quantum wells in multiband model |
| title_full | Acceptor and band states in quantum wells in multiband model |
| title_fullStr | Acceptor and band states in quantum wells in multiband model |
| title_full_unstemmed | Acceptor and band states in quantum wells in multiband model |
| title_short | Acceptor and band states in quantum wells in multiband model |
| title_sort | acceptor and band states in quantum wells in multiband model |
| title_unstemmed | Acceptor and band states in quantum wells in multiband model |
| topic | General Physics and Astronomy |
| url | http://dx.doi.org/10.1088/1742-6596/1236/1/012006 |