Abstract

Studies of moiré systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a few layers in the 2D limit. The extension of twistronics to its 3D limit, where the twist is extended into the third dimension between adjacent layers, remains underexplored due to the challenges in precisely stacking layers. Here, we focus on 3D twistronics on a platform of self-assembled spiral superlattice of multilayered WS2. Our findings reveal an opto-twistronic Hall effect driven by an interplay of structural chirality and photon momentum, modulated by the moiré potential of the spiral superlattice. This coupling is an experimental manifestation of the noncommutative geometry that arises when simple translational symmetry perpendicular to the stack is replaced by a non-symmorphic screw operation. We also discover signatures of enhanced light-matter interactions and a strongly coupled photon momentum-lattice interaction owing to the properties of the 3D twistronic system that cannot be explained by existing theoretical models. Crucially, our findings uncover the role of higher-order quantum geometrical tensors in light-matter interactions, opening new avenues for designing quantum materials-based optoelectronic lattices with large nonlinearities, paving the way for developing advanced nanophotonic devices.

Abstract

Studies of moiré systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a few layers in the 2D limit. The extension of twistronics to its 3D limit, where the twist is extended into the third dimension between adjacent layers, remains underexplored due to the challenges in precisely stacking layers. Here, we focus on 3D twistronics on a platform of self-assembled spiral superlattice of multilayered WS2. Our findings reveal an opto-twistronic Hall effect driven by an interplay of structural chirality and photon momentum, modulated by the moiré potential of the spiral superlattice. This coupling is an experimental manifestation of the noncommutative geometry that arises when simple translational symmetry perpendicular to the stack is replaced by a non-symmorphic screw operation. We also discover signatures of enhanced light-matter interactions and a strongly coupled photon momentum-lattice interaction owing to the properties of the 3D twistronic system that cannot be explained by existing theoretical models. Crucially, our findings uncover the role of higher-order quantum geometrical tensors in light-matter interactions, opening new avenues for designing quantum materials-based optoelectronic lattices with large nonlinearities, paving the way for developing advanced nanophotonic devices.

Abstract

Studies of moiré systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a few layers in the 2D limit. The extension of twistronics to its 3D limit, where the twist is extended into the third dimension between adjacent layers, remains underexplored due to the challenges in precisely stacking layers. Here, we focus on 3D twistronics on a platform of self-assembled spiral superlattice of multilayered WS2. Our findings reveal an opto-twistronic Hall effect driven by an interplay of structural chirality and photon momentum, modulated by the moiré potential of the spiral superlattice. This coupling is an experimental manifestation of the noncommutative geometry that arises when simple translational symmetry perpendicular to the stack is replaced by a non-symmorphic screw operation. We also discover signatures of enhanced light-matter interactions and a strongly coupled photon momentum-lattice interaction owing to the properties of the 3D twistronic system that cannot be explained by existing theoretical models. Crucially, our findings uncover the role of higher-order quantum geometrical tensors in light-matter interactions, opening new avenues for designing quantum materials-based optoelectronic lattices with large nonlinearities, paving the way for developing advanced nanophotonic devices.

Abstract

Studies of moiré systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a few layers in the 2D limit. The extension of twistronics to its 3D limit, where the twist is extended into the third dimension between adjacent layers, remains underexplored due to the challenges in precisely stacking layers. Here, we focus on 3D twistronics on a platform of self-assembled spiral superlattice of multilayered WS2. Our findings reveal an opto-twistronic Hall effect driven by an interplay of structural chirality and photon momentum, modulated by the moiré potential of the spiral superlattice. This coupling is an experimental manifestation of the noncommutative geometry that arises when simple translational symmetry perpendicular to the stack is replaced by a non-symmorphic screw operation. We also discover signatures of enhanced light-matter interactions and a strongly coupled photon momentum-lattice interaction owing to the properties of the 3D twistronic system that cannot be explained by existing theoretical models. Crucially, our findings uncover the role of higher-order quantum geometrical tensors in light-matter interactions, opening new avenues for designing quantum materials-based optoelectronic lattices with large nonlinearities, paving the way for developing advanced nanophotonic devices.