Moiré commensurability and the quantum anomalous Hall effect in twisted bilayer graphene on hexagonal boron nitride

2020/11/30 by Jingtian Shi, Jihang Zhu, A. H. MacDonald · 87 citations
Materials Science · Mathematics · Physics and Astronomy · #Bilayer graphene #Commensurability (mathematics) #Condensed matter physics #Electron #Geometry #Graphene #Graphene research and applications #Materials science #Mathematics #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #Twist #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.103.075122

published in Physical review. B./Physical review. B 103(7) (American Physical Society)

arxiv created 2021/01/27 · openalex publication_date 2021/02/11 · arxiv updated 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The quantum anomalous Hall effect sometimes occurs in twisted bilayer graphene when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. The authors argue that the quantum anomalous Hall effect is likely only when the graphene/graphene and graphene/hBN moir'e patterns are nearly commensurate. This picture gives rise to the series of ``Hall windows'' in the twist-angle space illustrated here.

Citations

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• Quantum Hall Ferromagnetism in Graphene
• The electronic properties of graphene
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• Magic continuum in twisted bilayer WSe2