Kavli Affiliate: Jing Wang
| First 5 Authors: Huan Wang, Huan Wang, , ,
| Summary:
The pursuit of a lattice analogue for Landau levels has been a central theme
in condensed matter physics. Although the correspondence between Chern bands
and the lowest Landau level has been widely studied, a lattice realization of
the first Landau level remains elusive. Here we construct a minimal lattice
model that provides a concrete orbital description of both the lowest and first
Landau levels. Using maximally localized Wannier functions with $s$, $p_-$, and
$p_+$ orbital character, we develop a three-orbital model in which the two
lowest Chern bands are flat and each carries a Chern number $mathcalC=1$.
The band topology arises from a sequence of ideal band inversions between
Wannier states at the $Gamma$ and $K$ points in momentum space, establishing
an adiabatic connection between the atomic insulator limit and Landau level
physics. Notably, many-body exact diagonalization reveals that the non-Abelian
state can appear in the half-filled first Chern band. This construction can be
further generalized to realize flat Chern bands analogous to higher Landau
levels. Our results provide a new perspective on lattice analogues of Landau
levels and may enable the exploration of fascinating topological phenomena at
elevated temperatures.
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