Quantum spin Hall effect in graphene.

  title={Quantum spin Hall effect in graphene.},
  author={Charles L. Kane and Eugene J. Mele},
  journal={Physical review letters},
  volume={95 22},
  • C. KaneE. Mele
  • Published 29 November 2004
  • Physics
  • Physical review letters
We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts graphene from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator. This novel electronic state of matter is gapped in the bulk and supports the transport of spin and charge in gapless edge states that propagate at the sample boundaries… 

Figures from this paper

Rashba-induced spin scattering at graphene edges

We investigate theoretically the behavior of electron spin states near graphene edges at low temperature in the presence of an external electric field. The graphene Hamiltonian is solved directly in

Photoprotected spin Hall effect on graphene with substrate induced Rashba spin–orbit coupling

  • A. LópezR. Molina
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2020
By analyzing the high and intermediate frequency regimes, it is found that in both parameter limits, the spin-Chern number can be tuned by the effective coupling strength of the charge particles to the radiation field and determine the condition for the photoinduced topological phase transition.

Charge and spin Hall conductivity in metallic graphene.

It is predicted that large spin Hall conductivities will be observable in graphene even when the spin-orbit gap does not survive disorder.

Charge and spin Hall effect in spin chiral ferromagnetic graphene

We predict a specific type of charge Hall effect in undoped ferromagnetic graphene that is generated by the spin Hall mechanism in the absence of an external magnetic field. The essential feature is

Multiple quantum phases in graphene with enhanced spin-orbit coupling: from the quantum spin Hall regime to the spin Hall effect and a robust metallic state.

These findings not only quantify the detrimental effects of adatom clustering in the formation of the topological state, but also provide evidence for the emergence of spin accumulation at opposite sample edges driven by spin-dependent scattering induced by thallium islands, which eventually results in a minimum bulk conductivity ∼4e²/h, insensitive to localization effects.

Valley polarized quantum Hall effect and topological insulator phase transitions in silicene

It is shown that the combination of an electric field with intrinsic spin orbit interaction leads to quantum phase transitions at the charge neutrality point, providing a tool to experimentally tune the topological state.

Edge states, mass and spin gaps, and quantum Hall effect in graphene

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of