liu.seSearch for publications in DiVA
Change search
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
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Trapped modes in zigzag graphene nanoribbons
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St Petersburg State University, Russia; Peter Great St Petersburg Polytechn University, Russia; RAS, Russia.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2017 (English)In: Zeitschrift für Angewandte Mathematik und Physik, ISSN 0044-2275, E-ISSN 1420-9039, Vol. 68, no 4, article id 78Article in journal (Refereed) Published
Abstract [en]

We study the scattering on an ultra-low potential in zigzag graphene nanoribbon. Using a mathematical framework based on the continuous Dirac model and the augmented scattering matrix, we derive a condition for the existence of a trapped mode. We consider the threshold energies where the continuous spectrum changes its multiplicity and show that the trapped modes may appear for energies slightly less than a threshold and that its multiplicity does not exceeds one. We prove that trapped modes do not appear outside the threshold, provided the potential is sufficiently small.

Place, publisher, year, edition, pages
SPRINGER BASEL AG , 2017. Vol. 68, no 4, article id 78
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-140524DOI: 10.1007/s00033-017-0823-7ISI: 000407669500002OAI: oai:DiVA.org:liu-140524DiVA, id: diva2:1140101
Note

Funding Agencies|Russian Foundation of Basic Research [15-01-02175]

Available from: 2017-09-11 Created: 2017-09-11 Last updated: 2017-10-06

Open Access in DiVA

fulltext(1206 kB)11 downloads
File information
File name FULLTEXT01.pdfFile size 1206 kBChecksum SHA-512
9d6f1ad619a5e64accba68111b808ad1fee4e0e21cacb00eef74331b53c96265ff67bef7701f929626549aa8e862bece4b85aea34e9ba9dbed2f2476bdd969ba
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Kozlov, VladimirOrlof, Anna
By organisation
Mathematics and Applied MathematicsFaculty of Science & Engineering
In the same journal
Zeitschrift für Angewandte Mathematik und Physik
Other Electrical Engineering, Electronic Engineering, Information Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 11 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 45 hits
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
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf