Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties
ABSTRACT: The exact solutions for the two‐dimensional motion of a conduction band electron in a disc shaped quantum dot under the effect of an external magnetic field and parabolic and inverse square confining potentials are used to calculate the linear and nonlinear optical absorption as well as th...
- Autores:
-
Mora Ramos, Miguel Eduardo
Duque Echeverri, Carlos Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2012
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/13287
- Acceso en línea:
- http://hdl.handle.net/10495/13287
- Palabra clave:
- Quantum ring
Optica no lineal
Anillo cuántico
Optica no lineal
- Rights
- openAccess
- License
- Atribución 2.5 Colombia (CC BY 2.5 CO)
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dc.title.spa.fl_str_mv |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
title |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
spellingShingle |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties Quantum ring Optica no lineal Anillo cuántico Optica no lineal |
title_short |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
title_full |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
title_fullStr |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
title_full_unstemmed |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
title_sort |
Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties |
dc.creator.fl_str_mv |
Mora Ramos, Miguel Eduardo Duque Echeverri, Carlos Alberto |
dc.contributor.author.none.fl_str_mv |
Mora Ramos, Miguel Eduardo Duque Echeverri, Carlos Alberto |
dc.subject.none.fl_str_mv |
Quantum ring Optica no lineal Anillo cuántico Optica no lineal |
topic |
Quantum ring Optica no lineal Anillo cuántico Optica no lineal |
description |
ABSTRACT: The exact solutions for the two‐dimensional motion of a conduction band electron in a disc shaped quantum dot under the effect of an external magnetic field and parabolic and inverse square confining potentials are used to calculate the linear and nonlinear optical absorption as well as the linear and nonlinear corrections to the refractive index in the system. It is shown that this kind of structure may work well as a model for a quantum ring. Using the basic parameters typical of the GaAs, the results show that the influence of the normally oriented magnetic field induces a blueshift in both the first and third order peaks of the calculated optical quantities. In addition, total peak amplitudes are shown to be growing functions of the magnetic field strength. The increase in the strength of the inverse square potential function enhances significantly the contribution from the nonlinear third‐order terms in both the absorption and the relative correction to the refractive index. |
publishDate |
2012 |
dc.date.issued.none.fl_str_mv |
2012 |
dc.date.accessioned.none.fl_str_mv |
2020-01-15T23:21:13Z |
dc.date.available.none.fl_str_mv |
2020-01-15T23:21:13Z |
dc.type.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a86 http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.redcol.spa.fl_str_mv |
https://purl.org/redcol/resource_type/ART |
dc.type.local.spa.fl_str_mv |
Artículo de investigación |
format |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.identifier.citation.spa.fl_str_mv |
C.M. Duque-Jiménez, M. Mora-Ramos, and C.A. Duque-Echeverri, “Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties,” Ann. Phys. vol. 524, no. 6-7, pp. 327-337, 2012. http://doi.org/10.1002/andp.201200055 |
dc.identifier.issn.none.fl_str_mv |
0003-3804 |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10495/13287 |
dc.identifier.doi.none.fl_str_mv |
10.1002/andp.201200055 |
dc.identifier.eissn.none.fl_str_mv |
1521-3889 |
identifier_str_mv |
C.M. Duque-Jiménez, M. Mora-Ramos, and C.A. Duque-Echeverri, “Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties,” Ann. Phys. vol. 524, no. 6-7, pp. 327-337, 2012. http://doi.org/10.1002/andp.201200055 0003-3804 10.1002/andp.201200055 1521-3889 |
url |
http://hdl.handle.net/10495/13287 |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
analender physik |
dc.rights.*.fl_str_mv |
Atribución 2.5 Colombia (CC BY 2.5 CO) |
dc.rights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
dc.rights.uri.*.fl_str_mv |
https://creativecommons.org/licenses/by/2.5/co/ |
dc.rights.accessrights.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.creativecommons.spa.fl_str_mv |
https://creativecommons.org/licenses/by/4.0/ |
rights_invalid_str_mv |
Atribución 2.5 Colombia (CC BY 2.5 CO) https://creativecommons.org/licenses/by/2.5/co/ http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by/4.0/ |
eu_rights_str_mv |
openAccess |
dc.format.extent.spa.fl_str_mv |
10 |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Wiley vch |
dc.publisher.place.spa.fl_str_mv |
Alemania |
institution |
Universidad de Antioquia |
bitstream.url.fl_str_mv |
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Mora Ramos, Miguel EduardoDuque Echeverri, Carlos Alberto2020-01-15T23:21:13Z2020-01-15T23:21:13Z2012C.M. Duque-Jiménez, M. Mora-Ramos, and C.A. Duque-Echeverri, “Quantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical properties,” Ann. Phys. vol. 524, no. 6-7, pp. 327-337, 2012. http://doi.org/10.1002/andp.2012000550003-3804http://hdl.handle.net/10495/1328710.1002/andp.2012000551521-3889ABSTRACT: The exact solutions for the two‐dimensional motion of a conduction band electron in a disc shaped quantum dot under the effect of an external magnetic field and parabolic and inverse square confining potentials are used to calculate the linear and nonlinear optical absorption as well as the linear and nonlinear corrections to the refractive index in the system. It is shown that this kind of structure may work well as a model for a quantum ring. Using the basic parameters typical of the GaAs, the results show that the influence of the normally oriented magnetic field induces a blueshift in both the first and third order peaks of the calculated optical quantities. In addition, total peak amplitudes are shown to be growing functions of the magnetic field strength. The increase in the strength of the inverse square potential function enhances significantly the contribution from the nonlinear third‐order terms in both the absorption and the relative correction to the refractive index.10application/pdfengWiley vchAlemaniainfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a86http://purl.org/coar/version/c_970fb48d4fbd8a85Atribución 2.5 Colombia (CC BY 2.5 CO)info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by/4.0/Quantum ringOptica no linealAnillo cuánticoOptica no linealQuantum disc plus inverse square potential. An analytical model for two-dimensional quantum rings: Study of nonlinear optical propertiesanalender physikAnnalen Der Physik3273375246-7CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://bibliotecadigital.udea.edu.co/bitstream/10495/13287/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/13287/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/13287/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/13287/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD55ORIGINALDuque Carlos_2012_Quantiumdiscplusinversesquarepotential.pdfDuque Carlos_2012_Quantiumdiscplusinversesquarepotential.pdfArtículo de investigaciónapplication/pdf982897http://bibliotecadigital.udea.edu.co/bitstream/10495/13287/1/Duque%20Carlos_2012_Quantiumdiscplusinversesquarepotential.pdf51f354926f2e64dd3cdcb4dcc5dec43dMD5110495/13287oai:bibliotecadigital.udea.edu.co:10495/132872021-06-15 08:42:09.73Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |