Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method
Based on the dielectric continuum model and transfer-matrix method, the completing polar optical phonon states in a wurtzite GaN-based superlattice (SLs) with arbitrary-layer complex bases are investigated. It is proved that 2<sup>n</sup> types of phonon modes probably exist in a wurtzit...
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Online Access: | http://dx.doi.org/10.5488/CMP.14.13602 |
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doaj-ae20ca924f3e4b35bddd84f79e6155482020-11-24T21:19:52ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2011-03-0114113602Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix methodL. ZhangBased on the dielectric continuum model and transfer-matrix method, the completing polar optical phonon states in a wurtzite GaN-based superlattice (SLs) with arbitrary-layer complex bases are investigated. It is proved that 2<sup>n</sup> types of phonon modes probably exist in a wurtzite nitride SL with n-layer complex bases. The analytical phonon states of these modes and their dispersive equations in the wurtzite GaN/Al<sub>x</sub>Ga<sub>1-x</sub>N SL structures are obtained. Numerical calculations on a three-layer GaN/Al<sub>0.15</sub>Ga<sub>0.85</sub>N/AlN complex bases SL are performed. Results reveal that there are interface optical (IO) phonon modes of one type only and four types of quasi-confined (QC) phonon modes in three-layer GaN/Al<sub>0.15</sub>Ga<sub>0.85</sub>N/AlN complex bases SLs. The dispersive spectra of phonon modes in complex bases SLs extend to be a series of frequency bands. The behaviors of QC modes reducing to IO modes are observed. The present theoretical scheme and numerical results are quite useful for analyzing the dispersive spectra of completing phonon modes and their polaronic effect in wurtzite GaN-based SLs with complex bases.http://dx.doi.org/10.5488/CMP.14.13602 optical phonon modesdispersive spectrawurtzite superlatticetransfer-matrix method |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
L. Zhang |
spellingShingle |
L. Zhang Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method Condensed Matter Physics optical phonon modes dispersive spectra wurtzite superlattice transfer-matrix method |
author_facet |
L. Zhang |
author_sort |
L. Zhang |
title |
Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
title_short |
Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
title_full |
Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
title_fullStr |
Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
title_full_unstemmed |
Polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
title_sort |
polar optical phonon states and their dispersive spectra of a wurtzite nitride superlattice with complex bases: transfer-matrix method |
publisher |
Institute for Condensed Matter Physics |
series |
Condensed Matter Physics |
issn |
1607-324X |
publishDate |
2011-03-01 |
description |
Based on the dielectric continuum model and transfer-matrix method, the completing polar optical phonon states in a wurtzite GaN-based superlattice (SLs) with arbitrary-layer complex bases are investigated. It is proved that 2<sup>n</sup> types of phonon modes probably exist in a wurtzite nitride SL with n-layer complex bases. The analytical phonon states of these modes and their dispersive equations in the wurtzite GaN/Al<sub>x</sub>Ga<sub>1-x</sub>N SL structures are obtained. Numerical calculations on a three-layer GaN/Al<sub>0.15</sub>Ga<sub>0.85</sub>N/AlN complex bases SL are performed. Results reveal that there are interface optical (IO) phonon modes of one type only and four types of quasi-confined (QC) phonon modes in three-layer GaN/Al<sub>0.15</sub>Ga<sub>0.85</sub>N/AlN complex bases SLs. The dispersive spectra of phonon modes in complex bases SLs extend to be a series of frequency bands. The behaviors of QC modes reducing to IO modes are observed. The present theoretical scheme and numerical results are quite useful for analyzing the dispersive spectra of completing phonon modes and their polaronic effect in wurtzite GaN-based SLs with complex bases. |
topic |
optical phonon modes dispersive spectra wurtzite superlattice transfer-matrix method |
url |
http://dx.doi.org/10.5488/CMP.14.13602 |
work_keys_str_mv |
AT lzhang polaropticalphononstatesandtheirdispersivespectraofawurtzitenitridesuperlatticewithcomplexbasestransfermatrixmethod |
_version_ |
1726004830659411968 |