2026-04-23T21:09:19Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/335832026-03-20T08:26:08Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

Kuru, Şengül Negro Vadillo, Francisco Javier Sourrouille, L. 2018-12-19T13:31:18Z 2018-12-19T13:31:18Z 2018 Journal of Physics: Condensed Matter, 2018, Volume 30, Number 36 http://uvadoc.uva.es/handle/10324/33583 10.1088/1361-648X/aad656 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. eng info:eu-repo/semantics/openAccess © 2018 IOP Publishing Confinement of Dirac electrons in graphene magnetic quantum dots info:eu-repo/semantics/article