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

TL;DR

This paper explores the electronic properties of twisted bilayer MoTe$_2$, revealing multiple Chern bands and potential non-Abelian fractional quantum Hall states near a specific twist angle, using advanced computational methods.

Contribution

It introduces a combined first-principles and continuum model approach to identify multiple Chern bands and non-Abelian states in twisted bilayer MoTe$_2$ at small twist angles.

Findings

Identification of a sequence of C=1 moiré Chern bands.

Evidence for possible non-Abelian fractional quantum Hall states.

Insight into the electronic structure at specific twist angles.

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.