TY - JOUR
T1 - Topological flat bands and correlated states in twisted monolayer-bilayer graphene
AU - Rademaker, Louk
AU - Protopopov, Ivan V.
AU - Abanin, Dmitry A.
N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society.
PY - 2020/7
Y1 - 2020/7
N2 - Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular electric field, which induces topological transitions accompanied by changes of the Chern numbers. In the regime where the applied electric field induces gaps between the flat bands, we find a relatively uniform distribution of the Berry curvature. Consequently, interaction-induced valley- A nd/or spin-polarized states at integer filling factors are energetically favorable. In particular, we predict a quantum anomalous Hall state at filling factors ν=1,3 for a range of twist angles 1â<θ<1.4â. Furthermore, to characterize the response of the system to magnetic field, we computed the Hofstadter butterfly and the Wannier plot, which can be used to probe the dispersion and topology of the flat bands in this material.
AB - Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular electric field, which induces topological transitions accompanied by changes of the Chern numbers. In the regime where the applied electric field induces gaps between the flat bands, we find a relatively uniform distribution of the Berry curvature. Consequently, interaction-induced valley- A nd/or spin-polarized states at integer filling factors are energetically favorable. In particular, we predict a quantum anomalous Hall state at filling factors ν=1,3 for a range of twist angles 1â<θ<1.4â. Furthermore, to characterize the response of the system to magnetic field, we computed the Hofstadter butterfly and the Wannier plot, which can be used to probe the dispersion and topology of the flat bands in this material.
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U2 - 10.1103/PhysRevResearch.2.033150
DO - 10.1103/PhysRevResearch.2.033150
M3 - Article
AN - SCOPUS:85095782724
SN - 2643-1564
VL - 2
JO - Physical Review Research
JF - Physical Review Research
IS - 3
M1 - 033150
ER -