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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/55532
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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 Técnicas2025-09-29T10:12:26Zoai: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:34982025-09-29 10:12:26.382CONICET 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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13.070432 |