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Landau levels as a probe for band topology in graphene moiré superlattices

QuanSheng Wu1,2*, Jianpeng Liu3,4*, Yifei Guan1, Oleg V. Yazyev1,2*

1 Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

2 National Centre for Computational Design and Discovery of Novel Materials MARVEL, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

3 School of Physical Science and Technology, ShanghaiTech University, Shanghai 200031, China

4 ShanghaiTech Laboratory for Topological Physics, ShanghaiTech University, Shanghai 200031, China

* Corresponding authors emails: quansheng.wu@epfl.ch, liujp@shanghaitech.edu.cn, oleg.yazyev@epfl.ch
DOI10.24435/materialscloud:75-2h [version v1]

Publication date: Feb 17, 2022

How to cite this record

QuanSheng Wu, Jianpeng Liu, Yifei Guan, Oleg V. Yazyev, Landau levels as a probe for band topology in graphene moiré superlattices, Materials Cloud Archive 2022.29 (2022), doi: 10.24435/materialscloud:75-2h.


We propose Landau levels as a probe for the topological character of electronic bands in two-dimensional moiré superlattices. We consider two configurations of twisted double bilayer graphene (TDBG) that have very similar band structures, but show different valley Chern numbers of the flat bands. These differences between the AB-AB and AB-BA configurations of TDBG clearly manifest as different Landau level sequences in the Hofstadter butterfly spectra calculated using the tight-binding model. The Landau level sequences are explained from the point of view of the distribution of orbital magnetization in momentum space that is governed by the rotational C2 and time-reversal T symmetries. Our results can be readily extended to other twisted graphene multilayers and h-BN/graphene heterostructures thus establishing the Hofstadter butterfly spectra as a powerful tool for detecting the nontrivial valley band topology.

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13.8 MiB WannierTools's input files to generate the Landau level spectrum in the Reference


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MARVEL/DD6 Landau level Moire superlattice twisted double bilayer graphene band topology

Version history:

2022.29 (version v1) [This version] Feb 17, 2022 DOI10.24435/materialscloud:75-2h