QuanSheng Wu^1,2*, Jianpeng Liu^3,4*, Yifei Guan¹, Oleg V. Yazyev^1,2*

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), https://doi.org/10.24435/materialscloud:75-2h

Description

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.

Materials Cloud sections using this data

Files

File name	Size	Description
data_for_PRL126_056401_2021.tar.gz MD5md5:c90045eca9ee78566d46be36ca4eb1d7	13.8 MiB	WannierTools's input files to generate the Landau level spectrum in the Reference

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Keywords

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