2021-03-06T12:23:14Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/335832020-05-15T10:40:00Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
00925njm 22002777a 4500
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Kuru, S.
author
Negro Vadillo, Francisco Javier
author
Sourrouille, L.
author
2018
We characterize the confinement of massless Dirac electrons under axially symmetric magnetic fields in graphene, including zero energy modes and higher energy levels. In particular, we analyze in detail the Aharonovâ€“Casher theorem, on the existence of zero modes produced by magnetic fields with finite flux in two dimensions. We apply techniques of supersymmetric quantum mechanics to determine the confined states by means of the quantum number j associated to isospin and angular momentum. We focus on magnetic fields, regular at the origin, whose asymptotic behaviour is , with Î± a real number. A confinement of infinite zero-energy modes and excited states is possible as long as . When the quantum dot is able to trap an infinite number of zero modes but no excited states, while for only a finite number of zero modes are confined.
Journal of Physics: Condensed Matter, 2018, Volume 30, Number 36
http://uvadoc.uva.es/handle/10324/33583
https://doi.org/10.1088/1361-648X/aad656
Confinement of Dirac electrons in graphene magnetic quantum dots