Effective Floquet model for minimally twisted bilayer graphene

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Christophe De Beule
  • Fernando Dominguez
  • Patrik Recher

Externe Organisationen

  • Technische Universität Braunschweig
  • University of Luxembourg
  • Laboratory for Emerging Nanometrology Braunschweig (LENA)
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Details

OriginalspracheEnglisch
Aufsatznummer195432
FachzeitschriftPhysical Review B
Jahrgang103
Ausgabenummer19
PublikationsstatusVeröffentlicht - 21 Mai 2021
Extern publiziertJa

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.

ASJC Scopus Sachgebiete

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Effective Floquet model for minimally twisted bilayer graphene. / De Beule, Christophe; Dominguez, Fernando; Recher, Patrik.
in: Physical Review B, Jahrgang 103, Nr. 19, 195432, 21.05.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

De Beule C, Dominguez F, Recher P. Effective Floquet model for minimally twisted bilayer graphene. Physical Review B. 2021 Mai 21;103(19):195432. doi: 10.1103/PhysRevB.103.195432
De Beule, Christophe ; Dominguez, Fernando ; Recher, Patrik. / Effective Floquet model for minimally twisted bilayer graphene. in: Physical Review B. 2021 ; Jahrgang 103, Nr. 19.
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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.",
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