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Interacting electrons in graphene nanoribbons in the lowest Landau level

2011/04/27 by A. A. Shylau, Igor Zozoulenko, I. V. Zozoulenko · 1 citation
Materials Science · Physics and Astronomy · #Diamond and Carbon-based Materials Research #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.84.075407

published as Phys. Rev. B 84, 075407 (2011) · 6 pages, 3 figures

arxiv created 2011/04/27 · openalex publication_date 2011/08/02 · arxiv updated 2014/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the effect of electron-electron interaction and spin on electronic and transport properties of gated graphene nanoribbons (GNRs) in a perpendicular magnetic field in the regime of the lowest Landau level (LL). The electron-electron interaction is taken into account using the Hartree and Hubbard approximations, and the conductance of GNRs is calculated on the basis of the recursive Greens function technique within the Landauer formalism. We demonstrate that, in comparison to the one-electron picture, electron-electron interaction leads to the drastic changes in the dispersion relation and structure of propagating states in the regime of the lowest LL showing a formation of the compressible strip and opening of additional conductive channels in the middle of the ribbon. We show that the latter are very sensitive to disorder and get scattered even if the concentration of disorder is moderate. In contrast, the edge states transport is very robust and cannot be suppressed even in the presence of a strong spin-flipping.

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