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  • Letter

Spin-orbit coupling and interactions in quantum Hall states of graphene/WSe2 heterobilayers

Dongying Wang, Mohammed Karaki, Nicholas Mazzucca, Haidong Tian, Guixin Cao, ChunNing Lau, Yuan-Ming Lu*, and Marc Bockrath†

Kenji Watanabe

Takashi Taniguchi

  • Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA

  • Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan

  • International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan

  • *lu.1435@osu.edu
  • †bockrath.31@osu.edu

Phys. Rev. B 104, L201301 – Published 19 November, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L201301

Abstract

We use magnetotransport measurements to probe quantum Hall ground states in graphene/WSe2 heterobilayers. Compared to pristine graphene, inter-Landau level (LL) gaps at half-filled quartets away from filling factor ν=0 show significantly weaker dependence on the magnetic field B, while odd ν fillings show a stronger dependence. We interpret this behavior using a model incorporating Ising and Rashba spin-orbit coupling (SOC) along with Coulomb interactions within the self-consistent Hartree-Fock framework. A model fit yields Ising SOC in range ∼1–2 meV, Rashba ∼10 meV, and the in-plane dielectric constant ∼12, in agreement to previously found values. In the zeroth LL quartet, the ν=0 gap as a function of magnetic field exhibits a plateau near 5 T, compared to ∼20–25 T for pristine graphene. This behavior is in agreement with a model in which the SOC causes a phase transition from a canted antiferromagnetic state to a ferromagnetic state to occur at a much lower field. Our studies demonstrate how the interplay of SOC and electronic interactions affect graphene's electronic structure.

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