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Periodic Barrier Structure in AA-Stacked Bilayer Graphene

2015/09/15 by Ilham Redouani, Redouani, Ilham, Ahmed Jellal +1
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.1509.04427

13 pages, 8 figures

arxiv created 2015/09/15 · openalex publication_date 2015/09/15 · arxiv updated 2015/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the charge carriers transport in an AA-stacked bilayer graphene modulated by a lateral one-dimensional multibarrier structure. We investigate the band structures of our system, that is made up of two shifted Dirac cones, for finite and zero gap. We use the boundary conditions to explicitly determine the transmission probability of each individual cone (τ=± 1) for single, double and finite periodic barrier structure. We find that the Klein tunneling is only possible when the band structure is gapless and can occur at normal incidence as a result of the Dirac nature of the quasiparticles. We observe that the band structure of the barriers can have more than one Dirac points for finite periodic barrier. The resonance peaks appear in the transmission probability, which correspond to the positions of new cones index like associated with τ=± 1. Two conductance channels through different cones (τ=± 1) are found where the total conductance has been studied and compared to the cases of single layer and AB-stacked bilayer graphene.

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