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arXiv · 2403.17003

Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states

Cheng Xu·Ning Mao·Tiansheng Zeng·Yang Zhang
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Abstract

We investigate the moir\'e 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 $\theta=1.89^{\circ}$, we find a sequence of $C=1$(Chern number in K valley)moir\'e Chern bands, in analogy to Landau levels. By constructing the continuum model with multiple Chern bands, we undertake band-projected exact diagonalization using unscreened Coulomb repulsion to identify possible non-Abelian states near twist angle $\theta=1.89^{\circ}$ at the half filling of second moir\'e band.

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Cheng Xu, Ning Mao, Tiansheng Zeng, Yang Zhang. 2024-03-25. Multiple Chern bands in twisted MoTe$_2$ and possible non-Abelian states. https://doi.org/10.1103/physrevlett.134.066601

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