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Trapped modes in armchair graphene nanoribbons
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2018 (English)Report (Other academic)
Abstract [en]

We study scattering on an ultra-low potential in armchair graphene nanorib bon. Using the continuous Dirac model and including a couple of articial waves in the scattering process, described by an augumented scattering matrix, we derive a condition for the existence of a trapped mode. We consider the threshold energies, where the the multiplicity of the continuous spectrum changes and show that a trapped mode may appear for energies slightly less than a thresold and its multiplicity does not exceed one. For energies which are higher than a threshold, there are no trapped modes, provided that the potential is suciently small.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2018. , p. 29
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2018:12
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-153254OAI: oai:DiVA.org:liu-153254DiVA, id: diva2:1268570
Available from: 2018-12-06 Created: 2018-12-06 Last updated: 2018-12-13Bibliographically approved

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Kozlov, VladimirOrlof, AnnaNazarov, Sergei

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2829303132333431 of 88
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
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