Effective Floquet model for minimally twisted bilayer graphene

authored by: Christophe De Beule, Fernando Dominguez, Patrik Recher
Abstract: We construct an effective Floquet lattice model for the triangular network that emerges in interlayer-biased minimally twisted bilayer graphene and which supports two chiral channels per link for a given valley and spin. We introduce the Floquet scheme with the one-channel triangular network and subsequently extend it to the two-channel case. From the bulk topological index (winding number) and finite system calculations, we find that both cases host anomalous Floquet insulators (AFIs) with a different gap-opening mechanism. In the one-channel network, either time-reversal or in-plane inversion symmetry has to be broken to open a gap. In contrast, in the two-channel network, interchannel coupling can open a gap without breaking these symmetries yielding a valley AFI with counterpropagating edge states. This phase is topologically trivial with respect to the total winding number but robust in the absence of intervalley scattering. Finally, we demonstrate the applicability of the Floquet model with magnetotransport calculations.
External Organisation(s): Technische Universität Braunschweig
University of Luxembourg
Laboratory for Emerging Nanometrology Braunschweig (LENA)
Type: Article
Journal: Physical Review B
Volume: 103
ISSN: 2469-9950
Publication date: 21.05.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s): https://doi.org/10.1103/PhysRevB.103.195432 (Access: Unknown)

BibTeX

@article{e87f8b82392844f28680ca06c74a8c14,
title = "Effective Floquet model for minimally twisted bilayer graphene",
abstract = "We construct an effective Floquet lattice model for the triangular network that emerges in interlayer-biased minimally twisted bilayer graphene and which supports two chiral channels per link for a given valley and spin. We introduce the Floquet scheme with the one-channel triangular network and subsequently extend it to the two-channel case. From the bulk topological index (winding number) and finite system calculations, we find that both cases host anomalous Floquet insulators (AFIs) with a different gap-opening mechanism. In the one-channel network, either time-reversal or in-plane inversion symmetry has to be broken to open a gap. In contrast, in the two-channel network, interchannel coupling can open a gap without breaking these symmetries yielding a valley AFI with counterpropagating edge states. This phase is topologically trivial with respect to the total winding number but robust in the absence of intervalley scattering. Finally, we demonstrate the applicability of the Floquet model with magnetotransport calculations.",
author = "{De Beule}, Christophe and Fernando Dominguez and Patrik Recher",
note = "Funding information: We thank R. F. Werner for interesting discussions. F.D. and P.R. gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the framework of Germany's Excellence Strategy–EXC-2123 QuantumFrontiers–390837967.",
year = "2021",
month = may,
day = "21",
doi = "10.1103/PhysRevB.103.195432",
language = "English",
volume = "103",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "19",
}