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Title: Confinement of Dirac electrons in graphene magnetic quantum dots
Authors: Kuru, S.
Negro, J.
Sourrouille, L.
Issue Date: 2018
Publisher: IOP Publishing
Description: Producción Científica
Citation: Journal of Physics: Condensed Matter, 2018, Volume 30, Number 36
Abstract: 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.
Classification: Grafeno
Peer Review: SI
Sponsor: Ministerio de Economía, Industria y Competitividad (Project MTM2014-57129-C2-1-P)
Junta de Castilla y León (programa de apoyo a proyectos de investigación - Ref. VA057U16, VA137G18)
Publisher Version:
Rights Owner: © 2018 IOP Publishing
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:FM - Artículos de revista

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