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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/12739

Title: Spectrum of localized states in graphene quantum dots and wires
Authors: Zalipaev, V.V.
Maksimov, D.N.
Linton, C.M.
Kusmartsev, F.V.
Keywords: High-energy eigenstates
Semiclassical approximation
Generalized Bohr-Sommerfeld quantization condition
Graphene
Tunneling
Issue Date: 2013
Publisher: © Elsevier B.V.
Citation: ZALIPAEV, V.V. ... et al, 2013. Spectrum of localized states in graphene quantum dots and wires. Physics Letters A, 377 (3-4), pp. 216 - 221
Abstract: We developed semiclassical method and show that any smooth potential in graphene describing elongated a quantum dot or wire may behave as a barrier or as a trapping well or as a double barrier potential, Fabry–Perot structure, for 1D Schrödinger equation. The energy spectrum of quantum wires has been found and compared with numerical simulations. We found that there are two types of localized states, stable and metastable, having finite life time. These life times are calculated, as is the form of the localized wave functions which are exponentially decaying away from the wire in the perpendicular direction.
Description: This article is closed access, it was published in the journal Physics Letters A [© Elsevier B.V.]. The definitive version is available at: http://dx.doi.org/10.1016/j.physleta.2012.11.028
Version: Published
DOI: 10.1016/j.physleta.2012.11.028
URI: https://dspace.lboro.ac.uk/2134/12739
Publisher Link: http://dx.doi.org/10.1016/j.physleta.2012.11.028
ISSN: 0375-9601
Appears in Collections:Closed Access (Physics)

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