Multiple Chern bands in twisted MoTe₂ and possible non-Abelian states

We investigate the moir\'e band structures and possible even denominator fractional quantum Hall state in small angle twisted bilayer MoTe₂, 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 $C=1$ moir\'e Chern bands, in analogy to Landau levels. Constructing the continuum model with multiple Chern bands and uniform Berry curvature in the second moir\'e 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∘.