Higher Landau-Level Analogues and Signatures of Non-Abelian States in Twisted Bilayer MoTe_2
arxiv(2024)
摘要
Recent experimental discovery of fractional Chern insulators at zero magnetic
field in moiré superlattices has sparked intense interests in bringing Landau
level physics to flat Chern bands. In twisted MoTe_2 bilayers (tMoTe_2),
recent theoretical and experimental studies have found three consecutive flat
Chern bands at twist angle ∼ 2^∘. In this work, we investigate whether
higher Landau level physics can be found in these consecutive Chern bands. At
twist angles 2.00^∘ and 1.89^∘, we identify four consecutive C =
1 bands for the K valley in tMoTe_2. By constructing Wannier functions
directly from density functional theory (DFT) calculations, a six-orbital model
is developed to describe the consecutive Chern bands, with the orbitals forming
a honeycomb lattice. Exact diagonalization on top of Hartree-Fock calculations
are carried out with the Wannier functions. Especially, when the second moiré
miniband is half-filled, signatures of non-Abelian states are found. Our
Wannier-based approach in modelling moiré superlattices is faithful to DFT
wave functions and can serve as benchmarks for continuum models. The
possibility of realizing non-Abelian anyons at zero magnetic field also opens
up a new pathway for fault-tolerant quantum information processing.
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