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Interband transmission in armchair graphene ribbons with a step‐like profile of potential energy: Relevance to Klein's tunneling
Author(s) -
Malysheva Lyuba,
Petrenko Evgenij,
Onipko Alexander
Publication year - 2009
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200982310
Subject(s) - graphene , ambipolar diffusion , hamiltonian (control theory) , physics , quantum tunnelling , transmission coefficient , electron , condensed matter physics , kinetic energy , quantum mechanics , range (aeronautics) , transverse plane , transmission (telecommunications) , materials science , mathematics , mathematical optimization , engineering , structural engineering , electrical engineering , composite material
Three principal results concerning graphene‐based wires and their ambipolar behavior are presented. First, it is the exact expression of the transmission coefficient for armchair graphene wires described by the tight‐binding Hamiltonian with the step‐like change U of site energies. Second, the exact relation between the energy of incident electrons or holes and potential U at which there is no backscattering for the given mode of the transverse motion. Third, the range of relevance of Klein's formula describing the motion of relativistic particles in the same potential profile is established. Analysis of newly derived results shows that physics of interband transitions at constant energy in graphene wires is richer than it was believed.