Kavli Affiliate: Jie Shan
| First 5 Authors: Dumitru Călugăru, Yi Jiang, Haoyu Hu, Hanqi Pi, Jiabin Yu
| Summary:
We introduce a new class of moir’e systems and materials based on monolayers
with triangular lattices and low-energy states at the M points of the Brillouin
zone. These M-point moir’e materials are fundamentally distinct from those
derived from $Gamma$- or K-point monolayers, featuring three
time-reversal-preserving valleys related by three-fold rotational symmetry. We
propose twisted bilayers of experimentally exfoliable 1T-SnSe$_2$ and
1T-ZrS$_2$ as realizations of this new class. Using extensive ab initio
simulations, we develop quantitative continuum models and analytically show
that the corresponding M-point moir’e Hamiltonians exhibit emergent
momentum-space non-symmorphic symmetries and a kagome plane-wave lattice in
momentum space. This represents the first experimentally viable realization of
a projective representation of crystalline space groups in a non-magnetic
system. With interactions, these materials represent six-flavor Hubbard
simulators with Mott physics, as can be seen by their flat Wilson loops.
Furthermore, the presence of a non-symmorphic momentum-space in-plane mirror
symmetry makes some of the M-point moir’e Hamiltonians quasi-one-dimensional
in each valley, suggesting the possibility of realizing Luttinger liquid
physics. We predict the twist angles at which a series of (conduction) flat
bands appear, provide a faithful continuum Hamiltonian, analyze its topology
and charge density and briefly discuss several aspects of the physics of this
new platform.
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