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Comptes Rendus Mathématique
Volume 354, n° 1
pages 63-67 (janvier 2016)
Doi : 10.1016/j.crma.2015.10.007
Received : 25 May 2015 ;  accepted : 13 October 2015
Trapped modes supported by localized potentials in the zigzag graphene ribbon
Modes piégés supportés par des potentiels localisés dans des bandes de graphène en zigzag
 

Vladimir A. Kozlov a , Sergei A. Nazarov b, c, d , Anna Orlof a
a Department of Mathematics, Linköping University, SE-58183 Linköping, Sweden 
b Saint-Petersburg State University, Universitetskaya nab., 7-9, 199034, St. Petersburg, Russia 
c Saint-Petersburg State Polytechnical University, Polytechnicheskaya ul., 29, 195251, St. Petersburg, Russia 
d Institute of Problems of Mechanical Engineering RAS, V.O., Bol'shoi pr., 61, 199178, St. Petersburg, Russia 

Abstract

Localized potentials in the Dirac equation for the electron dynamics in a zigzag graphene ribbon are constructed to support trapped modes while the corresponding eigenvalues are embedded into the continuous spectrum.

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Résumé

On construit des potentiels localisés pour les équations de Dirac décrivant le comportement des électrons dans une bande de graphène en zigzag, pour lesquels des modes piégés existent, tels que les valeurs propres correspondantes sont plongées dans le spectre continu.

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