Resonance states in a cylindrical quantum dot with an external magnetic field
Bound and resonance states of quantum dots play a significant role in photo-absorption processes. In this work, we analyze a cylindrical quantum dot, its spectrum and, in particular, the behaviour of the lowest resonance state when a magnetic field is applied along the symmetry axis of the cylinder. To obtain the energy and width of the resonance we use the complex rotation method. As it is expected the structure of the spectrum is strongly influenced by the Landau levels associated to the magnetic field. We show how this structure affects the behaviour of the resonance state and that the binding of the resonance has a clear interpretation in terms of the Landau levels and the probability of localization of the resonance state. The localization probability and the fidelity of the lowest energy state allow to identify two different physical regimes, a large field-small quantum dot radius regime and a small field-large quantum dot radius, where the binding of the resonance is dominated by the field strength or the potential well, respectively.
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2014
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Subjects: | Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals, Resonances, Fidelity, Variational techniques, |
Online Access: | http://hdl.handle.net/11086/24474 |
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dig-unc-ar-11086-244742022-10-13T11:07:26Z Resonance states in a cylindrical quantum dot with an external magnetic field Ramos, Alba Yanina Osenda, Omar Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques Bound and resonance states of quantum dots play a significant role in photo-absorption processes. In this work, we analyze a cylindrical quantum dot, its spectrum and, in particular, the behaviour of the lowest resonance state when a magnetic field is applied along the symmetry axis of the cylinder. To obtain the energy and width of the resonance we use the complex rotation method. As it is expected the structure of the spectrum is strongly influenced by the Landau levels associated to the magnetic field. We show how this structure affects the behaviour of the resonance state and that the binding of the resonance has a clear interpretation in terms of the Landau levels and the probability of localization of the resonance state. The localization probability and the fidelity of the lowest energy state allow to identify two different physical regimes, a large field-small quantum dot radius regime and a small field-large quantum dot radius, where the binding of the resonance is dominated by the field strength or the potential well, respectively. submittedVersion Fil: Ramos, Alba Yanina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Ramos, Alba Yanina. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fl : Ramos, Alba Yanina. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Osenda, Omar. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Osenda, Omar. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Osenda, Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Otras Ciencias Físicas 2022-05-02T15:58:17Z 2022-05-02T15:58:17Z 2014 article 0953-4075 http://hdl.handle.net/11086/24474 eng doi:10.1088/0953-4075/47/1/015502 https://iopscience.iop.org/article/10.1088/0953-4075/47/1/015502 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso |
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Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques |
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Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques Ramos, Alba Yanina Osenda, Omar Resonance states in a cylindrical quantum dot with an external magnetic field |
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Bound and resonance states of quantum dots play a significant role in photo-absorption processes. In this work, we analyze a cylindrical quantum dot, its spectrum and, in particular, the behaviour of the lowest resonance state when a magnetic field is applied along the symmetry axis of the cylinder. To obtain the energy and width of the resonance we use the complex rotation method. As it is expected the structure of the spectrum is strongly influenced by the Landau levels associated to the magnetic field. We show how this structure affects the behaviour of the resonance state and that the binding of the resonance has a clear interpretation in terms of the Landau levels and the probability of localization of the resonance state. The localization probability and the fidelity of the lowest energy state allow to identify two different physical regimes, a large field-small quantum dot radius regime and a small field-large quantum dot radius, where the binding of the resonance is dominated by the field strength or the potential well, respectively. |
format |
article |
topic_facet |
Electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Resonances Fidelity Variational techniques |
author |
Ramos, Alba Yanina Osenda, Omar |
author_facet |
Ramos, Alba Yanina Osenda, Omar |
author_sort |
Ramos, Alba Yanina |
title |
Resonance states in a cylindrical quantum dot with an external magnetic field |
title_short |
Resonance states in a cylindrical quantum dot with an external magnetic field |
title_full |
Resonance states in a cylindrical quantum dot with an external magnetic field |
title_fullStr |
Resonance states in a cylindrical quantum dot with an external magnetic field |
title_full_unstemmed |
Resonance states in a cylindrical quantum dot with an external magnetic field |
title_sort |
resonance states in a cylindrical quantum dot with an external magnetic field |
publishDate |
2014 |
url |
http://hdl.handle.net/11086/24474 |
work_keys_str_mv |
AT ramosalbayanina resonancestatesinacylindricalquantumdotwithanexternalmagneticfield AT osendaomar resonancestatesinacylindricalquantumdotwithanexternalmagneticfield |
_version_ |
1756009589446279168 |