2008/05/31 by Yu. O. Klymenko, Yuriy Klymenko, Lyuba Malysheva +1
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Condensed matter physics #Electron #Graphene #Graphene research and applications #Materials science #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Quasiparticle #Rectangular potential barrier #Transmission (telecommunications) #Transmission coefficient #cond-mat.mes-hall
paper · pdf · doi:10.1002/pssb.200879637
Edited, misprints corrected
arxiv created 2008/06/13 · openalex publication_date 2008/09/09 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract The list of textbook tunneling formulas is extended by deriving exact expressions for the transmission coefficient in graphene ribbons with armchair edges and the step‐like and barrier‐like profiles of site energies along the ribbon. These expressions are obtained by matching wave functions at the interfaces between the regions, where quasiparticles have constant but different potential energies. It is shown that for an U 0 high barrier and low‐energy electrons and holes, the mode transmission of charge carriers in this type of ribbons is described by the textbook formula, where the constant barrier is replaced by an effective, energy‐dependent barrier, U 0 → U ( E ). For the lowest/highest electron/hole mode, U ( E ) goes, respectively, to zero and nonzero value in metallic and semiconducting ribbons. This and other peculiarities of through‐barrier/step transmission in graphene are discussed and compared with related earlier results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)