Anomalous Hall Effect in 2D Dirac Materials

Manuel Offidani and Aires Ferreira
Phys. Rev. Lett. 121, 126802 – Published 17 September 2018
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Abstract

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin SU(2) degrees of freedom stemming from spin-orbit effects leads to a distinctive gate voltage dependence (change of sign) of the anomalous Hall conductivity approaching the topological gap, which remains robust against impurity scattering and thus is a smoking gun for magnetized 2D Dirac fermions. Furthermore, we unveil a robust skew scattering mechanism, modulated by the spin texture of the energy bands, which causes a net spin accumulation at the sample boundaries even for spin-transparent disorder. The newly unveiled extrinsic spin Hall effect is readily tunable by a gate voltage and opens novel opportunities for the control of spin currents in 2D ferromagnetic materials.

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  • Received 24 January 2018
  • Revised 14 August 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.126802

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Manuel Offidani and Aires Ferreira*

  • Department of Physics, University of York, York YO10 5DD, United Kingdom

  • *aires.ferreira@york.ac.uk

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Issue

Vol. 121, Iss. 12 — 21 September 2018

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