Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗

We calculate the electronic states in volume for GaAs and AlAs in Zinc-Blenda structure using the Tight-Binding (TB) method. The TB Hamiltonian was constructed using a base of s, p and s∗ orbitals. Thes∗ orbitals represent excited states with equal symmetry as the s orbitals. Carrying out the numeri...

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Tipo de recurso:
Fecha de publicación:
2021
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/15314
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/12612
https://repositorio.uptc.edu.co/handle/001/15314
Palabra clave:
Tight-Binding, relaciones de dispersión, densidad de estados.
Tight-Binding, dispersion relations, density of states.
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http://purl.org/coar/access_right/c_abf2
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spelling 2021-09-072024-07-08T14:24:03Z2024-07-08T14:24:03Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/1261210.19053/01217488.v12.n2.2021.12612https://repositorio.uptc.edu.co/handle/001/15314We calculate the electronic states in volume for GaAs and AlAs in Zinc-Blenda structure using the Tight-Binding (TB) method. The TB Hamiltonian was constructed using a base of s, p and s∗ orbitals. Thes∗ orbitals represent excited states with equal symmetry as the s orbitals. Carrying out the numericaldiagonalization of the Hamiltonian, the dispersion relationships were determined for some directions ofhigh symmetry of the first Brillouin zone (FBZ), obtaining a direct gap of 1.54 eV for GaAs and an indirectgap of 2.26 eV for AlAs. The total (DOS) and partial state densities indicate the presence of s orbitals inthe lower part of the valence band (BV), p orbitals in the upper part of the BV and in the lower part of theconduction band (BC), and s∗ orbitals on top of BC. Our results agree quite well with other experimentaland theoretical reports.Calculamos los estados electrónicos en volumen para GaAs y AlAs en estructura Zinc-Blenda usando el método Tight-Binding (TB). El Hamiltoniano TB se construyó usando una base de orbitales s, p y s∗. Los orbitales s∗ representan estados excitados con igual simetría de los orbitales s. Llevando a cabo la diagonalización numérica del Hamiltoniano, se determinaron las relaciones de dispersión para algunas direcciones de alta simetría de la primera zona de Brillouin (PZB), obteniendo un gap directo de 1.54 eV para GaAs y un gap indirecto de 2.26 eV para AlAs. Las densidades de estados totales (DOS) y parciales indican la presencia de orbitales s en la parte inferior de la banda de valencia (BV), orbitales p en la parte superior de la BV y en la parte inferior de la banda de conducción (BC), y orbitales s∗ en la parte superior de la BC. Nuestros resultados concuerdan bastante bien con otros reportes experimentales y teóricos.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/12612/11161Ciencia En Desarrollo; Vol. 12 No. 2 (2021): Vol 12, Núm.2 (2021): Julio-DiciembreCiencia en Desarrollo; Vol. 12 Núm. 2 (2021): Vol 12, Núm.2 (2021): Julio-Diciembre2462-76580121-7488Tight-Binding, relaciones de dispersión, densidad de estados.Tight-Binding, dispersion relations, density of states.Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗Estructura Electrónica de GaAs y AlAs usando un Hamiltoniano Tight-Binding sp3s∗info:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/access_right/c_abf2Rasero Causil, Diego AlejandroPortacio, Alfonso A.Suescun , Daniel001/15314oai:repositorio.uptc.edu.co:001/153142025-07-18 10:56:33.108metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
dc.title.es-ES.fl_str_mv Estructura Electrónica de GaAs y AlAs usando un Hamiltoniano Tight-Binding sp3s∗
title Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
spellingShingle Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
Tight-Binding, relaciones de dispersión, densidad de estados.
Tight-Binding, dispersion relations, density of states.
title_short Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
title_full Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
title_fullStr Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
title_full_unstemmed Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
title_sort Electronic Structure of GaAs and AlAs using a Hamiltonian Tight-Binding sp3s∗
dc.subject.es-ES.fl_str_mv Tight-Binding, relaciones de dispersión, densidad de estados.
topic Tight-Binding, relaciones de dispersión, densidad de estados.
Tight-Binding, dispersion relations, density of states.
dc.subject.en-US.fl_str_mv Tight-Binding, dispersion relations, density of states.
description We calculate the electronic states in volume for GaAs and AlAs in Zinc-Blenda structure using the Tight-Binding (TB) method. The TB Hamiltonian was constructed using a base of s, p and s∗ orbitals. Thes∗ orbitals represent excited states with equal symmetry as the s orbitals. Carrying out the numericaldiagonalization of the Hamiltonian, the dispersion relationships were determined for some directions ofhigh symmetry of the first Brillouin zone (FBZ), obtaining a direct gap of 1.54 eV for GaAs and an indirectgap of 2.26 eV for AlAs. The total (DOS) and partial state densities indicate the presence of s orbitals inthe lower part of the valence band (BV), p orbitals in the upper part of the BV and in the lower part of theconduction band (BC), and s∗ orbitals on top of BC. Our results agree quite well with other experimentaland theoretical reports.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2024-07-08T14:24:03Z
dc.date.available.none.fl_str_mv 2024-07-08T14:24:03Z
dc.date.none.fl_str_mv 2021-09-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/12612
10.19053/01217488.v12.n2.2021.12612
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/15314
url https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/12612
https://repositorio.uptc.edu.co/handle/001/15314
identifier_str_mv 10.19053/01217488.v12.n2.2021.12612
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/12612/11161
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Ciencia En Desarrollo; Vol. 12 No. 2 (2021): Vol 12, Núm.2 (2021): Julio-Diciembre
dc.source.es-ES.fl_str_mv Ciencia en Desarrollo; Vol. 12 Núm. 2 (2021): Vol 12, Núm.2 (2021): Julio-Diciembre
dc.source.none.fl_str_mv 2462-7658
0121-7488
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
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