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Moiré Flat Bands in Twisted Double Bilayer Graphene

Fatemeh Haddadi1*, QuanSheng Wu2*, Alex J. Kruchkov3*, Oleg V. Yazyev2*

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

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

3 Department of Physics, Harvard University, Cambridge, Massachusetts 02138, United States

* Corresponding authors emails: fatemeh.haddadi@epfl.ch, quansheng.wu@epfl.ch, akruchkov@g.harvard.edu, oleg.yazyev@epfl.ch
DOI10.24435/materialscloud:2020.0047/v1 [version v1]

Publication date: Apr 29, 2020

How to cite this record

Fatemeh Haddadi, QuanSheng Wu, Alex J. Kruchkov, Oleg V. Yazyev, Moiré Flat Bands in Twisted Double Bilayer Graphene, Materials Cloud Archive 2020.0047/v1 (2020), doi: 10.24435/materialscloud:2020.0047/v1.


We investigate twisted double bilayer graphene (TDBG), a four-layer system composed of two AB-stacked graphene bilayers rotated with respect to each other by a small angle. Our ab-initio band structure calculations reveal a considerable energy gap at the charge point neutrality that we assign to the intrinsic symmetric polarization (ISP). We then introduce the ISP effect into the tight-binding parameterization and perform calculations on TDBG models that include lattice relaxation effects down to very small twist angles. We identify a narrow region around the magic angle θ*= 1.3° characterized by a manifold of remarkably flat bands gapped out from other states even without external electric fields. To understand the fundamental origin of the magic angle in TDBG, we construct a continuum model that points to a hidden mathematical link to the twisted bilayer graphene (TBG) model, thus indicating that the band flattening is a fundamental feature of TDBG, and is not a result of external fields.

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File name Size Description
571.0 MiB WannierTools inputs files for the tight-binding bandstructure calculations of the rigid and relaxed models of TDBG characterized by different twist angles in the presence of the intrinsic symmetric polarization.
1.7 KiB readme.txt containing detailed description of the dataset folder


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.


MARVEL/DD6 EPFL SNSF Continuum model Twisted double bilayer graphene Tight-Binding model WannierTools Magic angle Flat bands Moiré superlattice

Version history:

2020.0047/v1 (version v1) [This version] Apr 29, 2020 DOI10.24435/materialscloud:2020.0047/v1