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  • We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac operator, we obtain sufficient and necessary conditions for confinement of the quasiparticles. The rigorous theoretical results are illustrated on the realistic examples of the three classes of traps.
  • We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac operator, we obtain sufficient and necessary conditions for confinement of the quasiparticles. The rigorous theoretical results are illustrated on the realistic examples of the three classes of traps. (en)
Title
  • Qualitative analysis of trapped Dirac fermions in graphene
  • Qualitative analysis of trapped Dirac fermions in graphene (en)
skos:prefLabel
  • Qualitative analysis of trapped Dirac fermions in graphene
  • Qualitative analysis of trapped Dirac fermions in graphene (en)
skos:notation
  • RIV/61389005:_____/14:00435722!RIV15-GA0-61389005
http://linked.open...avai/riv/aktivita
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  • I, P(GA14-06818S)
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  • OCT
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  • 41006
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  • RIV/61389005:_____/14:00435722
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  • graphene; Dirac fermion; confinement; Varitional principle (en)
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  • US - Spojené státy americké
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  • [1E40B67A646C]
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  • Annals of Physics
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  • 349
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  • Krejčiřík, David
  • Jakubský, Vít
http://linked.open...ain/vavai/riv/wos
  • 000340689300016
issn
  • 0003-4916
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.aop.2014.06.020
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