Numerical solution of multiband k.p model for tunnelling in type-II heterostructures
A new and very general method was developed for calculating the charge and spin-resolved electron tunnelling in type-II heterojunctions. Starting from a multiband k.p description of the bulk energy-band structure, a multiband k.p Riccati equation was derived. The reflection and transmission coeffici...
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Academy of Science of South Africa
2009-07-01
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| Series: | South African Journal of Science |
| Online Access: | https://sajs.co.za/article/view/10290 |
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| author | A.E. Botha |
| author_facet | A.E. Botha |
| author_sort | A.E. Botha |
| collection | DOAJ |
| description | A new and very general method was developed for calculating the charge and spin-resolved electron tunnelling in type-II heterojunctions. Starting from a multiband k.p description of the bulk energy-band structure, a multiband k.p Riccati equation was derived. The reflection and transmission coefficients were obtained for each channel by integrating the Riccati equation over the entire heterostructure. Numerical instability was reduced through this method, in which the multichannel log-derivative of the envelope function matrix, rather than the envelope function itself, was propagated. As an example, a six-band k.p Hamiltonian was used to calculate the current-voltage characteristics of a 10-nm wide InAs/ GaSb/InAs single quantum well device which exhibited negative differential resistance at room temperature. The calculated current as a function of applied (bias) voltage was found to be in semiquantitative agreement with the experiment, a result which indicated that inelastic transport mechanisms do not contribute significantly to the valley currents measured in this particular device. |
| format | Article |
| id | doaj-art-8938462138934fe4ba4e5696b60da06e |
| institution | DOAJ |
| issn | 1996-7489 |
| language | English |
| publishDate | 2009-07-01 |
| publisher | Academy of Science of South Africa |
| record_format | Article |
| series | South African Journal of Science |
| spelling | doaj-art-8938462138934fe4ba4e5696b60da06e2025-08-20T03:13:36ZengAcademy of Science of South AfricaSouth African Journal of Science1996-74892009-07-011057/82942948449Numerical solution of multiband k.p model for tunnelling in type-II heterostructuresA.E. BothaA new and very general method was developed for calculating the charge and spin-resolved electron tunnelling in type-II heterojunctions. Starting from a multiband k.p description of the bulk energy-band structure, a multiband k.p Riccati equation was derived. The reflection and transmission coefficients were obtained for each channel by integrating the Riccati equation over the entire heterostructure. Numerical instability was reduced through this method, in which the multichannel log-derivative of the envelope function matrix, rather than the envelope function itself, was propagated. As an example, a six-band k.p Hamiltonian was used to calculate the current-voltage characteristics of a 10-nm wide InAs/ GaSb/InAs single quantum well device which exhibited negative differential resistance at room temperature. The calculated current as a function of applied (bias) voltage was found to be in semiquantitative agreement with the experiment, a result which indicated that inelastic transport mechanisms do not contribute significantly to the valley currents measured in this particular device.https://sajs.co.za/article/view/10290 |
| spellingShingle | A.E. Botha Numerical solution of multiband k.p model for tunnelling in type-II heterostructures South African Journal of Science |
| title | Numerical solution of multiband k.p model for tunnelling in type-II heterostructures |
| title_full | Numerical solution of multiband k.p model for tunnelling in type-II heterostructures |
| title_fullStr | Numerical solution of multiband k.p model for tunnelling in type-II heterostructures |
| title_full_unstemmed | Numerical solution of multiband k.p model for tunnelling in type-II heterostructures |
| title_short | Numerical solution of multiband k.p model for tunnelling in type-II heterostructures |
| title_sort | numerical solution of multiband k p model for tunnelling in type ii heterostructures |
| url | https://sajs.co.za/article/view/10290 |
| work_keys_str_mv | AT aebotha numericalsolutionofmultibandkpmodelfortunnellingintypeiiheterostructures |