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

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 functi...

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Detalles Bibliográficos
Autores principales: Beneventano, Carlota Gabriela, Fialkovsky, I.V., Santángelo, Eve Mariel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Bessel function
Circular billiard
Graphene
Quantum nanodot
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95716
https://ri.conicet.gov.ar/11336/74584
https://link.springer.com/article/10.1134%2FS004057791604005X
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-95716
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Bessel function
Circular billiard
Graphene
Quantum nanodot
spellingShingle Ciencias Exactas
Bessel function
Circular billiard
Graphene
Quantum nanodot
Beneventano, Carlota Gabriela
Fialkovsky, I.V.
Santángelo, Eve Mariel
Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
topic_facet Ciencias Exactas
Bessel function
Circular billiard
Graphene
Quantum nanodot
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.
format Articulo
Preprint
author Beneventano, Carlota Gabriela
Fialkovsky, I.V.
Santángelo, Eve Mariel
author_facet Beneventano, Carlota Gabriela
Fialkovsky, I.V.
Santángelo, Eve Mariel
author_sort Beneventano, Carlota Gabriela
title Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
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
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/95716
https://ri.conicet.gov.ar/11336/74584
https://link.springer.com/article/10.1134%2FS004057791604005X
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AT santangeloevemariel zerosofcombinationsofbesselfunctionsandthemeanchargeofgraphenenanodots
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