A general derivation of the density of states function for quantum wells and superlattices
Identifieur interne : 002107 ( Main/Exploration ); précédent : 002106; suivant : 002108A general derivation of the density of states function for quantum wells and superlattices
Auteurs : M. W. Prairie [États-Unis] ; R. M. Kolbas [États-Unis]Source :
- Superlattices and Microstructures [ 0749-6036 ] ; 1990.
English descriptors
- Teeft :
- Appropriate limits, Barrier width, Bulk case, Bulk semiconductor, Constant energy, Constant energy surface, Differential surface area, Dimensionless energy, Distribution function, Electron density, Electronic states, Energy band, Energy bands, Energy levels, Finite quantum, Finite quantum wells, General derivation, Graphical solution, Infinite quantum, Infinite square, Infinity, Microstructures, Quantum, Quantum wells, Semiconductor, Single quantum, Solid state physics, Spatial extent, Superlattice, Superlattices, Thin wells, Total energy, Unit volume.
Abstract
Abstract: The intent of this paper is to provide the reader with a detailed summary of the development of the density of states (DOS) functions for two-dimensional systems. Specifically, the DOS is derived for an infinite quantum well, a finite well, and a periodic array of coupled wells (a superlattice). Many authors state that the DOS is “simply …” without references, yet many who are new to the subject of two-dimensional systems may not see the “simplicity,” for instance, of the derivation of the DOS for a superlattice. We also show the relationships between the expressions for each case when the appropriate limits are taken. This comparison shows the consistency that such a general derivation furnishes to each expression.
Url:
DOI: 10.1016/0749-6036(90)90208-O
Affiliations:
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W." last="Prairie">M. W. Prairie</name><affiliation wicri:level="1"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Electrical and Computer Engineering North Carolina State University, Raleigh, North Carolina 27695-7911</wicri:regionArea><wicri:noRegion>North Carolina 27695-7911</wicri:noRegion></affiliation></author><author><name sortKey="Kolbas, R M" sort="Kolbas, R M" uniqKey="Kolbas R" first="R. M." last="Kolbas">R. M. Kolbas</name><affiliation wicri:level="1"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Electrical and Computer Engineering North Carolina State University, Raleigh, North Carolina 27695-7911</wicri:regionArea><wicri:noRegion>North Carolina 27695-7911</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Superlattices and Microstructures</title><title level="j" type="abbrev">YSPMI</title><idno type="ISSN">0749-6036</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1990">1990</date><biblScope unit="volume">7</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="269">269</biblScope><biblScope unit="page" to="277">277</biblScope></imprint><idno type="ISSN">0749-6036</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0749-6036</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Appropriate limits</term><term>Barrier width</term><term>Bulk case</term><term>Bulk semiconductor</term><term>Constant energy</term><term>Constant energy surface</term><term>Differential surface area</term><term>Dimensionless energy</term><term>Distribution function</term><term>Electron density</term><term>Electronic states</term><term>Energy band</term><term>Energy bands</term><term>Energy levels</term><term>Finite quantum</term><term>Finite quantum wells</term><term>General derivation</term><term>Graphical solution</term><term>Infinite quantum</term><term>Infinite square</term><term>Infinity</term><term>Microstructures</term><term>Quantum</term><term>Quantum wells</term><term>Semiconductor</term><term>Single quantum</term><term>Solid state physics</term><term>Spatial extent</term><term>Superlattice</term><term>Superlattices</term><term>Thin wells</term><term>Total energy</term><term>Unit volume</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The intent of this paper is to provide the reader with a detailed summary of the development of the density of states (DOS) functions for two-dimensional systems. Specifically, the DOS is derived for an infinite quantum well, a finite well, and a periodic array of coupled wells (a superlattice). Many authors state that the DOS is “simply …” without references, yet many who are new to the subject of two-dimensional systems may not see the “simplicity,” for instance, of the derivation of the DOS for a superlattice. We also show the relationships between the expressions for each case when the appropriate limits are taken. This comparison shows the consistency that such a general derivation furnishes to each expression.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country></list><tree><country name="États-Unis"><noRegion><name sortKey="Prairie, M W" sort="Prairie, M W" uniqKey="Prairie M" first="M. W." last="Prairie">M. W. Prairie</name></noRegion><name sortKey="Kolbas, R M" sort="Kolbas, R M" uniqKey="Kolbas R" first="R. M." last="Kolbas">R. M. Kolbas</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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