Spin-orbit interaction effect on transport of Dirac fermions in graphene

Details Spin-orbit interaction effect on transport of Dirac fermions in graphene Spin-orbit interaction effect on transport of Dirac fermions in graphene

2008-01-03

arxiv.org/abs/0801.0470v1

Journal of Physics: Condensed Matter 20, 345228 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex 12 pages with 5 figures

Scientific paper

We study theoretically the quantum transport properties of the Dirac fermions with spin-orbit interactions (SOIs) in graphene by using the method of Schwinger proper time together with decomposition over Landau level poles and Kubo formula. The analytical expressions for both longitudinal and Hall conductivities are derived explicitly. It is found that, from some numerical examples, when the Rashba SOI is taken into account the Shubnikov-de Haas (SdH) oscillation peaks of the longitudinal conductivity versus the chemical potential are split, while the SdH oscillation of the longitudinal conductivity versus a external magnetic field exhibits a beating pattern. Furthermore, the Rashba SOI tends to suppress the quantum Hall effect in graphene.

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