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A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene

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arxiv 1901.08110 v4 pith:DMGTWYF5 submitted 2019-01-23 cond-mat.str-el cond-mat.mes-hall

Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords graphenehallmodelanomalousbandsbilayerchernferromagnetism
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We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene device and its encapsulating substrate. Our model exhibits a phase transition from a spin-valley polarized insulator to a partial or fully valley unpolarized metal as the bandwidth is increased relative to the interaction strength, consistent with experimental observations. In sharp contrast to standard quantum Hall ferromagnetism, the Chern number structure of the flat bands precludes an instability to an inter-valley coherent phase, but allows for an excitonic vortex lattice at large interaction anisotropy.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Giant Orbital Magneto-electric effect and Current-driven Magnetization Switching in Twisted Bilayer Graphene

    cond-mat.mes-hall 2019-08 reject novelty 6.0 of 10

    A small current in strained, hBN-aligned twisted bilayer graphene is predicted to generate a large out-of-plane orbital magnetization and to switch the ferromagnetic state near 3/4 filling.

  2. Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene

    cond-mat.mes-hall 2019-08 conditional novelty 6.0 of 10

    A microscopic calculation shows that the quantum anomalous Hall ferromagnet in twisted bilayer graphene is stable against spin and valley magnons, and that valley wave fluctuations limit the ordering temperature.

  3. Flat Chern Band From Twisted Bilayer MnBi$_2$Te$_4$

    cond-mat.mes-hall 2019-08 conditional novelty 6.0 of 10

    A twisted bilayer of MnBi2Te4 is predicted to host an isolated flat Chern band at about one degree twist, offering a time-reversal-broken moire platform for correlated topological states.

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