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Landau Levels and Edge States in Graphene with Strong Spin-Orbit Coupling

  • Alessandro De MartinoEmail author
  • Artur Hütten
  • Reinhold Egger
Conference paper
Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)

Abstract

We investigate the electronic properties of graphene in a magnetic and a strain-induced pseudo-magnetic field in the presence of strong spin-orbit interactions (SOI). For a homogeneous field we provide analytical results for the Landau level eigenstates for arbitrary intrinsic and Rashba SOI, including also the effect of a Zeeman field. We then study the edge states in a semi-infinite geometry in the absence of the Rashba term. We find that, for a critical value of the magnetic field, a quantum phase transition occurs, which separates two phases both with spin-filtered helical edge states but with opposite direction of the spin current. Finally,we discuss magnetic waveguides with inhomogeneous field profiles that allow for chiral snake orbits. Such waveguides are practically immune to disorder-induced backscattering, and the SOI provides non-trivial spin texture to these modes.

Keywords

Landau Level Edge State Quantum Phase Transition Dirac Point Armchair Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We acknowledge financial support by the DFG programs SPP 1459 and SFB TR 12.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Alessandro De Martino
    • 1
    Email author
  • Artur Hütten
    • 2
  • Reinhold Egger
    • 2
  1. 1.Department of Mathematical ScienceCity University LondonLondonUK
  2. 2.Institut für Theoretische PhysikHeinrich-Heine-UniversitDüsseldorfGermany

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