A New Moiré Platform Based on M-Point Twisting
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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912590887649280 |
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| author | Călugăru, Dumitru Jiang, Yi Hu, Haoyu Pi, Hanqi Yu, Jiabin Vergniory, Maia G. Shan, Jie Felser, Claudia Schoop, Leslie M. Efetov, Dmitri K. Mak, Kin Fai Bernevig, B. Andrei |
| author_facet | Călugăru, Dumitru Jiang, Yi Hu, Haoyu Pi, Hanqi Yu, Jiabin Vergniory, Maia G. Shan, Jie Felser, Claudia Schoop, Leslie M. Efetov, Dmitri K. Mak, Kin Fai Bernevig, B. Andrei |
| contents | We introduce a new class of moiré systems and materials based on monolayers with triangular lattices and low-energy states at the M points of the Brillouin zone. These M-point moiré materials are fundamentally distinct from those derived from $Γ$- 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 moiré 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 moiré 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_18684 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Moiré Platform Based on M-Point Twisting Călugăru, Dumitru Jiang, Yi Hu, Haoyu Pi, Hanqi Yu, Jiabin Vergniory, Maia G. Shan, Jie Felser, Claudia Schoop, Leslie M. Efetov, Dmitri K. Mak, Kin Fai Bernevig, B. Andrei Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science We introduce a new class of moiré systems and materials based on monolayers with triangular lattices and low-energy states at the M points of the Brillouin zone. These M-point moiré materials are fundamentally distinct from those derived from $Γ$- 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 moiré 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 moiré 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. |
| title | A New Moiré Platform Based on M-Point Twisting |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2411.18684 |