Multiple Chern bands in twisted MoTe_2 and possible non-Abelian states
arxiv(2024)
摘要
We investigate the moiré band structures and possible even denominator
fractional quantum Hall state in small angle twisted bilayer MoTe_2, using
combined large-scale local basis density functional theory calculation and
continuum model exact diagonalization. Via large-scale first principles
calculations at θ=1.89^∘, we find a sequence of C=1 moiré
Chern bands, in analogy to Landau levels. Constructing the continuum model with
multiple Chern bands and uniform Berry curvature in the second moiré band, we
undertake band-projected exact diagonalization using unscreened Coulomb
repulsion to pinpoint possible ν=-3/2 non-Abelian states across a wide
range of twist angles below θ=2.5^∘.
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