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  Higher-Order Band Topology in Twisted Moiré Superlattice

Liu, B., Xian, L. D., Mu, H., Zhao, G., Liu, Z., Rubio, A., et al. (2021). Higher-Order Band Topology in Twisted Moiré Superlattice. Physical Review Letters, 126(6): 066401. doi:10.1103/PhysRevLett.126.066401.

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PhysRevLett.126.066401.pdf (Publisher version), 2MB
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Supplemental Material: calculation methods and additional tight-binding and first-principles results
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 Creators:
Liu, B.1, Author
Xian, L. D.2, 3, Author              
Mu, H.1, Author
Zhao, G.1, Author
Liu, Z.1, Author
Rubio, A.2, 3, 4, 5, Author              
Wang, Z. F.1, Author
Affiliations:
1Hefei National Laboratory for Physical Sciences at the Microscale, CAS Key Laboratory of Strongly-Coupled Quantum Matter Physics, Department of Physics, University of Science and Technology of China, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Center for Free Electron Laser Science, ou_persistent22              
4Center for Computational Quantum Physics, Simons Foundation Flatiron Institute, New York, ou_persistent22              
5Nano-Bio Spectroscopy Group, Departamento de Fisica de Materiales, Universidad del País Vasco, ou_persistent22              

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 Abstract: The two-dimensional (2D) twisted bilayer materials with van der Waals coupling have ignited great research interests, paving a new way to explore the emergent quantum phenomena by twist degree of freedom. Generally, with the decreasing of twist angle, the enhanced interlayer coupling will gradually flatten the low-energy bands and isolate them by two high-energy gaps at zero and full filling, respectively. Although the correlation and topological physics in the low-energy flat bands have been intensively studied, little information is available for these two emerging gaps. In this Letter, we predict a 2D second-order topological insulator (SOTI) for twisted bilayer graphene and twisted bilayer boron nitride in both zero and full filling gaps. Employing a tight-binding Hamiltonian based on first-principles calculations, three unique fingerprints of 2D SOTI are identified, that is, nonzero bulk topological index, gapped topological edge state, and in-gap topological corner state. Most remarkably, the 2D SOTI exists in a wide range of commensurate twist angles, which is robust to microscopic structure disorder and twist center, greatly facilitating the possible experimental measurement. Our results not only extend the higher-order band topology to massless and massive twisted moiré superlattice, but also demonstrate the importance of high-energy bands for fully understanding the nontrivial electronics.

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Language(s): eng - English
 Dates: 2020-08-112021-01-212021-02-122021-02-12
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.126.066401
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 126 (6) Sequence Number: 066401 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1