First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems
<p>We present first principles calculations of the electronic structures of spherically<br /> symmetricquantum dots (QDs) in direct-bandgap silicon nanocrystals which are potentially<br /> confined by an amorphous insulator.We have instructively ascribed the strong conductionvalenc...
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| Format: | Article |
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[Yogyakarta] : Fak. MIPA UGM
2007
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| _version_ | 1826044455792148480 |
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| author | , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan |
| author_facet | , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan |
| author_sort | , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan |
| collection | UGM |
| description | <p>We present first principles calculations of the electronic structures of spherically<br />
symmetricquantum dots (QDs) in direct-bandgap silicon nanocrystals which are potentially<br />
confined by an amorphous insulator.We have instructively ascribed the strong conductionvalence<br />
band coupling found in these systems to a strong mixing of the electronic states<br />
which therefore requires a theoretical model to properly account for its effect. Within the<br />
framework of the k.p effective mass method, we have used an 8x8 Kane Hamiltonianfor<br />
realizing the strong admixture in this central force problem and then we have also<br />
considered sets of symmetries associated with these electronic states and their angular<br />
momenta using orthogonal periodic functions (OPFs). To carry out both analytical and<br />
numerical calculations, two Hilbert space tensorial products for defining an appropriate<br />
new Hilbert space have been attempted for the first time in which the symmetric QD<br />
Hamiltonian may be properly defined and manipulated when applying the k.p effective<br />
mass approximation on the spherical QDs. Following the use of Kane bases, the Hilbert<br />
space has been constructed by OPFs. Apparently our results show that the QD electronhole<br />
energies are dependent on the size of QDs as expected.</p> |
| first_indexed | 2024-03-13T22:20:34Z |
| format | Article |
| id | oai:generic.eprints.org:93866 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:20:34Z |
| publishDate | 2007 |
| publisher | [Yogyakarta] : Fak. MIPA UGM |
| record_format | dspace |
| spelling | oai:generic.eprints.org:938662014-11-28T07:36:15Z https://repository.ugm.ac.id/93866/ First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan <p>We present first principles calculations of the electronic structures of spherically<br /> symmetricquantum dots (QDs) in direct-bandgap silicon nanocrystals which are potentially<br /> confined by an amorphous insulator.We have instructively ascribed the strong conductionvalence<br /> band coupling found in these systems to a strong mixing of the electronic states<br /> which therefore requires a theoretical model to properly account for its effect. Within the<br /> framework of the k.p effective mass method, we have used an 8x8 Kane Hamiltonianfor<br /> realizing the strong admixture in this central force problem and then we have also<br /> considered sets of symmetries associated with these electronic states and their angular<br /> momenta using orthogonal periodic functions (OPFs). To carry out both analytical and<br /> numerical calculations, two Hilbert space tensorial products for defining an appropriate<br /> new Hilbert space have been attempted for the first time in which the symmetric QD<br /> Hamiltonian may be properly defined and manipulated when applying the k.p effective<br /> mass approximation on the spherical QDs. Following the use of Kane bases, the Hilbert<br /> space has been constructed by OPFs. Apparently our results show that the QD electronhole<br /> energies are dependent on the size of QDs as expected.</p> [Yogyakarta] : Fak. MIPA UGM 2007 Article NonPeerReviewed , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan (2007) First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems. text. http://repository.ugm.ac.id/digitasi/index.php?module=cari_hasil_full&idbuku=1661 |
| spellingShingle | , Kamsu! Abraha, Muhamad Darwis Umar, and Mirza Satriawan First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title | First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title_full | First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title_fullStr | First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title_full_unstemmed | First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title_short | First principles study on the electronic structures of narrow-band spherical quantum dots in direct silicon nanocrystal-insulator systems |
| title_sort | first principles study on the electronic structures of narrow band spherical quantum dots in direct silicon nanocrystal insulator systems |
| work_keys_str_mv | AT kamsuabrahamuhamaddarwisumarandmirzasatriawan firstprinciplesstudyontheelectronicstructuresofnarrowbandsphericalquantumdotsindirectsiliconnanocrystalinsulatorsystems |