Artículo
Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
Fecha de publicación:
04/2016
Editorial:
Springer
Revista:
Theoretical And Mathematical Physics
ISSN:
0040-5779
e-ISSN:
1573-9333
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Bessel Function
,
Circular Billiard
,
Graphene
,
Quantum Nanodot
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Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
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
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