Research paperTheoreticalComputational Kinetic ModelFlat-band projected versus fully atomistic twisted bilayer grapheneMiguel S´anchez S´anchez, Tobias StauberarXiv·2026·10.1038/s41524-022-00697-8·arXiv:2507.20675AbstractWe benchmark the recently proposed projection method for magic-angle twisted bilayer graphene across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.Read more
Symmetric normal-state magic-angle twisted bilayer graphene at charge neutrality for the full atomistic and flat-band projected comparison.2 propertiesSimulatedCStudied MaterialExpand
Nematic semimetal state of magic-angle twisted bilayer graphene at charge neutrality.5 propertiesSimulatedCStudied MaterialExpand
Quantum anomalous Hall state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Orbital polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Kramers intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Time-reversal intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Valley polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelFlat-band projected versus fully atomistic twisted bilayer grapheneMiguel S´anchez S´anchez, Tobias StauberarXiv·2026·10.1038/s41524-022-00697-8·arXiv:2507.20675AbstractWe benchmark the recently proposed projection method for magic-angle twisted bilayer graphene across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.Read more
Symmetric normal-state magic-angle twisted bilayer graphene at charge neutrality for the full atomistic and flat-band projected comparison.2 propertiesSimulatedCStudied MaterialExpand
Nematic semimetal state of magic-angle twisted bilayer graphene at charge neutrality.5 propertiesSimulatedCStudied MaterialExpand
Quantum anomalous Hall state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Orbital polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Kramers intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Time-reversal intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Valley polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelFlat-band projected versus fully atomistic twisted bilayer grapheneMiguel S´anchez S´anchez, Tobias StauberarXiv·2026·10.1038/s41524-022-00697-8·arXiv:2507.20675AbstractWe benchmark the recently proposed projection method for magic-angle twisted bilayer graphene across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.Read more
Symmetric normal-state magic-angle twisted bilayer graphene at charge neutrality for the full atomistic and flat-band projected comparison.2 propertiesSimulatedCStudied MaterialExpand
Nematic semimetal state of magic-angle twisted bilayer graphene at charge neutrality.5 propertiesSimulatedCStudied MaterialExpand
Quantum anomalous Hall state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Orbital polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Kramers intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Time-reversal intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Valley polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelFlat-band projected versus fully atomistic twisted bilayer grapheneMiguel S´anchez S´anchez, Tobias StauberarXiv·2026·10.1038/s41524-022-00697-8·arXiv:2507.20675AbstractWe benchmark the recently proposed projection method for magic-angle twisted bilayer graphene across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight-binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap to the remote bands in the normal state. Moreover, we employ a novel set of order parameters that allow us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.Read more
Symmetric normal-state magic-angle twisted bilayer graphene at charge neutrality for the full atomistic and flat-band projected comparison.2 propertiesSimulatedCStudied MaterialExpand
Nematic semimetal state of magic-angle twisted bilayer graphene at charge neutrality.5 propertiesSimulatedCStudied MaterialExpand
Quantum anomalous Hall state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Orbital polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Kramers intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Time-reversal intervalley coherent state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
Valley polarized state of magic-angle twisted bilayer graphene at charge neutrality.4 propertiesSimulatedCStudied MaterialExpand
