Zeros of combinations of Bessel functions and the mean charge of graphene nanodots

Autores
Beneventano, Carlota Gabriela; Fialkovsky, I. V.; Santangelo, Eve Mariel
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeros of the Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry–Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss its dependence on the gate (chemical) potential in detail and also comment on the effect of temperature.
Fil: Beneventano, Carlota Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Fialkovsky, I. V.. St. Petersburg State University; Rusia. Universidad Federal Do Abc; Brasil
Fil: Santangelo, Eve Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Materia
Bessel Function
Circular Billiard
Graphene
Quantum Nanodot
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/55532
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Zeros of combinations of Bessel functions and the mean charge of graphene nanodotsBeneventano, Carlota GabrielaFialkovsky, I. V.Santangelo, Eve MarielBessel FunctionCircular BilliardGrapheneQuantum Nanodothttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeros of the Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry–Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss its dependence on the gate (chemical) potential in detail and also comment on the effect of temperature.Fil: Beneventano, Carlota Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Fialkovsky, I. V.. St. Petersburg State University; Rusia. Universidad Federal Do Abc; BrasilFil: Santangelo, Eve Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaSpringer2016-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55532Beneventano, Carlota Gabriela; Fialkovsky, I. V.; Santangelo, Eve Mariel; Zeros of combinations of Bessel functions and the mean charge of graphene nanodots; Springer; Theoretical And Mathematical Physics; 187; 1; 4-2016; 497-5100040-57791573-9333CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1134/S004057791604005Xinfo:eu-repo/semantics/altIdentifier/doi/10.1134/S004057791604005Xinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.0615info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:42:19Zoai:ri.conicet.gov.ar:11336/55532instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:42:20.199CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
title Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
spellingShingle Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
Beneventano, Carlota Gabriela
Bessel Function
Circular Billiard
Graphene
Quantum Nanodot
title_short Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
title_full Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
title_fullStr Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
title_full_unstemmed Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
title_sort Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
dc.creator.none.fl_str_mv Beneventano, Carlota Gabriela
Fialkovsky, I. V.
Santangelo, Eve Mariel
author Beneventano, Carlota Gabriela
author_facet Beneventano, Carlota Gabriela
Fialkovsky, I. V.
Santangelo, Eve Mariel
author_role author
author2 Fialkovsky, I. V.
Santangelo, Eve Mariel
author2_role author
author
dc.subject.none.fl_str_mv Bessel Function
Circular Billiard
Graphene
Quantum Nanodot
topic Bessel Function
Circular Billiard
Graphene
Quantum Nanodot
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeros of the Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry–Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss its dependence on the gate (chemical) potential in detail and also comment on the effect of temperature.
Fil: Beneventano, Carlota Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Fialkovsky, I. V.. St. Petersburg State University; Rusia. Universidad Federal Do Abc; Brasil
Fil: Santangelo, Eve Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
description We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeros of the Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry–Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss its dependence on the gate (chemical) potential in detail and also comment on the effect of temperature.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/55532
Beneventano, Carlota Gabriela; Fialkovsky, I. V.; Santangelo, Eve Mariel; Zeros of combinations of Bessel functions and the mean charge of graphene nanodots; Springer; Theoretical And Mathematical Physics; 187; 1; 4-2016; 497-510
0040-5779
1573-9333
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55532
identifier_str_mv Beneventano, Carlota Gabriela; Fialkovsky, I. V.; Santangelo, Eve Mariel; Zeros of combinations of Bessel functions and the mean charge of graphene nanodots; Springer; Theoretical And Mathematical Physics; 187; 1; 4-2016; 497-510
0040-5779
1573-9333
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1134/S004057791604005X
info:eu-repo/semantics/altIdentifier/doi/10.1134/S004057791604005X
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.0615
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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