Research paperTheoreticalComputed PhononEmergence of flat bands in the quasicrystal limit of boron nitride twisted bilayersLorenzo Sponza, Van Binh Vu, Elisa Serrano Richaud, Hakim Amara et al.arXiv preprint·2024·10.1038/s41563-023-01637-7·arXiv:2310.02937AbstractWe investigate the electronic structure and the optical absorption onset of close-to-30° twisted hexagonal boron nitride bilayers. Our study is carried out with a purposely developed tight-binding model validated against DFT simulations. We demonstrate that approaching 30° (quasicrystal limit), all bilayers sharing the same moiré supercell develop identical band structures, irrespective of their stacking sequence. This band structure features a bundle of flat bands laying slightly above the bottom conduction state which is responsible for an intense peak at the onset of the absorption spectrum. These results suggest the presence of strong, stable and stacking-independent excitons in boron nitride 30°-twisted bilayers. By carefully analyzing the electronic structure and its spatial distribution, we elucidate the origin of these states as moiré-induced K-valley scattering due to interlayer B-B coupling. We take advantage of the physical transparency of the tight-binding parameters to derive a simple triangular model based on the B sublattice that accurately describes the emergence of the bundle. Being our conclusions very general, we predict that a similar bundle should emerge in other close-to-30° bilayers, like transition metal dichalcogenides, shedding new light on the unique potential of 2D materials.Read more
DFT/ab-initio benchmark system: twisted hBN bilayer in the BB(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(3,8) stacking.2 characterizations5 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(5,13) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(4,11) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(5,13) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(4,11) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Simplified triangular-lattice B-sublattice model for the hBN bilayer bundle states.1 characterization2 properties3 figuresSimulatedhBNStudied MaterialExpand
Research paperTheoreticalComputed PhononEmergence of flat bands in the quasicrystal limit of boron nitride twisted bilayersLorenzo Sponza, Van Binh Vu, Elisa Serrano Richaud, Hakim Amara et al.arXiv preprint·2024·10.1038/s41563-023-01637-7·arXiv:2310.02937AbstractWe investigate the electronic structure and the optical absorption onset of close-to-30° twisted hexagonal boron nitride bilayers. Our study is carried out with a purposely developed tight-binding model validated against DFT simulations. We demonstrate that approaching 30° (quasicrystal limit), all bilayers sharing the same moiré supercell develop identical band structures, irrespective of their stacking sequence. This band structure features a bundle of flat bands laying slightly above the bottom conduction state which is responsible for an intense peak at the onset of the absorption spectrum. These results suggest the presence of strong, stable and stacking-independent excitons in boron nitride 30°-twisted bilayers. By carefully analyzing the electronic structure and its spatial distribution, we elucidate the origin of these states as moiré-induced K-valley scattering due to interlayer B-B coupling. We take advantage of the physical transparency of the tight-binding parameters to derive a simple triangular model based on the B sublattice that accurately describes the emergence of the bundle. Being our conclusions very general, we predict that a similar bundle should emerge in other close-to-30° bilayers, like transition metal dichalcogenides, shedding new light on the unique potential of 2D materials.Read more
DFT/ab-initio benchmark system: twisted hBN bilayer in the BB(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(3,8) stacking.2 characterizations5 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(5,13) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(4,11) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(5,13) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(4,11) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Simplified triangular-lattice B-sublattice model for the hBN bilayer bundle states.1 characterization2 properties3 figuresSimulatedhBNStudied MaterialExpand
Research paperTheoreticalComputed PhononEmergence of flat bands in the quasicrystal limit of boron nitride twisted bilayersLorenzo Sponza, Van Binh Vu, Elisa Serrano Richaud, Hakim Amara et al.arXiv preprint·2024·10.1038/s41563-023-01637-7·arXiv:2310.02937AbstractWe investigate the electronic structure and the optical absorption onset of close-to-30° twisted hexagonal boron nitride bilayers. Our study is carried out with a purposely developed tight-binding model validated against DFT simulations. We demonstrate that approaching 30° (quasicrystal limit), all bilayers sharing the same moiré supercell develop identical band structures, irrespective of their stacking sequence. This band structure features a bundle of flat bands laying slightly above the bottom conduction state which is responsible for an intense peak at the onset of the absorption spectrum. These results suggest the presence of strong, stable and stacking-independent excitons in boron nitride 30°-twisted bilayers. By carefully analyzing the electronic structure and its spatial distribution, we elucidate the origin of these states as moiré-induced K-valley scattering due to interlayer B-B coupling. We take advantage of the physical transparency of the tight-binding parameters to derive a simple triangular model based on the B sublattice that accurately describes the emergence of the bundle. Being our conclusions very general, we predict that a similar bundle should emerge in other close-to-30° bilayers, like transition metal dichalcogenides, shedding new light on the unique potential of 2D materials.Read more
DFT/ab-initio benchmark system: twisted hBN bilayer in the BB(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(3,8) stacking.2 characterizations5 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(5,13) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(4,11) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(5,13) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(4,11) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Simplified triangular-lattice B-sublattice model for the hBN bilayer bundle states.1 characterization2 properties3 figuresSimulatedhBNStudied MaterialExpand
Research paperTheoreticalComputed PhononEmergence of flat bands in the quasicrystal limit of boron nitride twisted bilayersLorenzo Sponza, Van Binh Vu, Elisa Serrano Richaud, Hakim Amara et al.arXiv preprint·2024·10.1038/s41563-023-01637-7·arXiv:2310.02937AbstractWe investigate the electronic structure and the optical absorption onset of close-to-30° twisted hexagonal boron nitride bilayers. Our study is carried out with a purposely developed tight-binding model validated against DFT simulations. We demonstrate that approaching 30° (quasicrystal limit), all bilayers sharing the same moiré supercell develop identical band structures, irrespective of their stacking sequence. This band structure features a bundle of flat bands laying slightly above the bottom conduction state which is responsible for an intense peak at the onset of the absorption spectrum. These results suggest the presence of strong, stable and stacking-independent excitons in boron nitride 30°-twisted bilayers. By carefully analyzing the electronic structure and its spatial distribution, we elucidate the origin of these states as moiré-induced K-valley scattering due to interlayer B-B coupling. We take advantage of the physical transparency of the tight-binding parameters to derive a simple triangular model based on the B sublattice that accurately describes the emergence of the bundle. Being our conclusions very general, we predict that a similar bundle should emerge in other close-to-30° bilayers, like transition metal dichalcogenides, shedding new light on the unique potential of 2D materials.Read more
DFT/ab-initio benchmark system: twisted hBN bilayer in the BB(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(1,3) stacking.2 characterizations1 property3 figuresSimulated Supercell DfthBNStudied MaterialExpand
DFT/ab-initio benchmark system: twisted hBN bilayer in the BN(3,8) stacking.2 characterizations5 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(5,13) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(4,11) stacking used for TB absorption calculations.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BB(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(5,13) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(4,11) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Twisted hBN bilayer close to 30° in the BN(11,30) stacking.2 characterizations2 properties3 figuresSimulated Supercell DfthBNStudied MaterialExpand
Simplified triangular-lattice B-sublattice model for the hBN bilayer bundle states.1 characterization2 properties3 figuresSimulatedhBNStudied MaterialExpand