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Quantum anomalous Hall crystals in moiré bands with higher Chern number
Stockholm University, Faculty of Science, Department of Physics.ORCID iD: 0000-0002-2229-0147
Stockholm University, Faculty of Science, Department of Physics.ORCID iD: 0009-0009-4988-9561
Stockholm University, Faculty of Science, Department of Physics.ORCID iD: 0000-0002-9739-2930
Number of Authors: 32025 (English)In: Nature Communications, E-ISSN 2041-1723, Vol. 16, article id 6875Article in journal (Refereed) Published
Abstract [en]

The realization of fractional Chern insulators in moiré materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous Hall crystals (QAHCs), which combine the zero-field quantum Hall effect with spontaneously broken discrete translation symmetry. Here, we employ exact diagonalization to demonstrate the existence of stable QAHCs arising from -filled moiré bands with Chern number C = 2. Our calculations show that these topological crystals, which are characterized by a quantized Hall conductivity of 1 (in units of e2/h) and a tripled unit cell, are robust in an ideal model of twisted bilayer-trilayer graphene—providing a novel explanation for experimental observations in this heterostructure. Furthermore, we predict that the QAHC remains robust in a realistic model of twisted double bilayer graphene and, in addition, we provide a range of optimal tuning parameters, namely twist angle and electric field, for experimentally realizing this phase. Overall, our work demonstrates the stability of QAHCs at odd-denominator filling of C = 2 bands, provides specific guidelines for future experiments, and establishes chiral multilayer graphene as a theoretical platform for studying topological phases beyond the Landau-level paradigm.

Place, publisher, year, edition, pages
2025. Vol. 16, article id 6875
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:su:diva-245448DOI: 10.1038/s41467-025-62224-9ISI: 001537392100025PubMedID: 40715106Scopus ID: 2-s2.0-105011732367OAI: oai:DiVA.org:su-245448DiVA, id: diva2:1988997
Available from: 2025-08-14 Created: 2025-08-14 Last updated: 2025-08-14Bibliographically approved

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Perea Causin, RaulLiu, HuiJohansson Bergholtz, Emil

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