Kavli Affiliate: Jing Wang
| First 5 Authors: Huan Wang, Rui Shi, Zhaochen Liu, Jing Wang,
| Summary:
We construct a minimal lattice model to provide an orbital description of
lowest and first Landau levels. With the maximally localized Wannier functions
with $s$, $p_-$, $p_+$ orbital characteristics, a three-orbital model is
developed, where the lowest two Chern bands are flat with $mathcal{C}=1$. This
model can be viewed as consecutive band inversions between these Wannier states
at $Gamma$ and $K$ in momentum space, which adiabatically connects the atomic
insulator limit to Landau level physics. Interestingly, many-body exact
diagonalization and entanglement spectrum analysis suggest that the Abelian
states can appear in the 1/3-filled lowest Chern band, while the signatures of
the non-Abelian states are found in the half-filled first Chern band. This
construction can be further extended to realize flat Chern bands resembling the
higher Landau levels. Our results offer a new perspective to understand the
lattice analogue of Landau levels, potentially enabling the realization of the
fascinating topological phenomena at higher temperatures.
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