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Chern mosaic and ideal flat bands in equal-twist trilayer graphene

Guerci, Daniele
•
Mao, Yuncheng
•
Mora, Christophe
2024
  • journal article

Periodico
PHYSICAL REVIEW RESEARCH
Abstract
We study trilayer graphene arranged in a staircase stacking configuration with equal consecutive twist angle. On top of the moir & eacute; crystalline pattern, a supermoir & eacute; long -wavelength modulation emerges that we treat adiabatically. For each valley, we find that the two central bands are topological with Chern numbers C = +/- 1 forming a Chern mosaic at the supermoir & eacute; scale. The Chern domains are centered around the high -symmetry stacking points ABA or BAB and they are separated by gapless lines connecting the AAA points where the spectrum is fully connected. In the chiral limit and at a magic angle of theta similar to 1 . 69 degrees , we prove that the central bands are exactly flat with ideal quantum curvature at ABA and BAB. Furthermore, we decompose them analytically as a superposition of an intrinsic color -entangled state with +/- 2 and a Landau level state with Chern number -/+ 1. To connect with experimental configurations, we also explore the nonchiral limit with finite corrugation and find that the topological Chern mosaic pattern is indeed robust and the central bands are still well separated from the remote bands.
DOI
10.1103/physrevresearch.6.l022025
WOS
WOS:001218198200004
Archivio
https://hdl.handle.net/20.500.11767/142171
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85192092589
https://arxiv.org/abs/2305.03702
https://ricerca.unityfvg.it/handle/20.500.11767/142171
Diritti
open access
google-scholar
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