RT info:eu-repo/semantics/article T1 Confinement of Dirac electrons in graphene magnetic quantum dots A1 Kuru, S. A1 Negro Vadillo, Francisco Javier A1 Sourrouille, L. K1 Grafeno K1 Graphene AB 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 Aharonov–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 α 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. PB IOP Publishing YR 2018 FD 2018 LK http://uvadoc.uva.es/handle/10324/33583 UL http://uvadoc.uva.es/handle/10324/33583 LA eng NO Journal of Physics: Condensed Matter, 2018, Volume 30, Number 36 NO Producción Científica DS UVaDOC RD 24-nov-2024