Interacting electrons in graphene nanoribbons in the lowest Landau level

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 can not be suppressed even in the presence of a strong spin-flipping.

6 pages, 3 figures

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Cited by in corpus (10)

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• Noncollinear magnetic phases and edge states in graphene quantum Hall bars
• Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons
• Interaction-induced enhancement of $g$-factor in graphene
• Spin polarization and g-factor enhancement in graphene nanoribbons in magnetic field
• Gate electrostatics and quantum capacitance in ballistic graphene devices
• Insulating state in low-disorder graphene nanoribbons
• The Universal Edge Physics in Fractional Quantum Hall Liquids