Research paperTheoreticalOther ComputationalNonflat bands and chiral symmetry in magic-angle twisted bilayer grapheneMiguel Sánchez Sánchez, José González, Tobias StauberarXiv·2025·10.1038/s41467-023-42471-4·arXiv:2501.09197AbstractWe study an interacting tight-binding model of magic-angle twisted bilayer graphene (MATBG) at a twist angle of 1.05°. Using a self-consistent mean-field normal state at charge neutrality, we construct effective theories by projecting onto the central bands and find that the flat-band bandwidth increases substantially, indicating a renormalization of the magic angle. The wavefunctions also flow toward perfect particle-hole symmetry and sublattice polarization, approaching the chiral limit. We further represent the flat bands in a vortex Chern basis and discuss how the renormalized nonflat band structure affects the symmetry-broken phases at neutrality.Read more
Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.4 propertiesSimulatedCStudied MaterialExpand
Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.5 propertiesSimulatedCStudied MaterialExpand
Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.1 propertySimulatedCStudied MaterialExpand
Research paperTheoreticalOther ComputationalNonflat bands and chiral symmetry in magic-angle twisted bilayer grapheneMiguel Sánchez Sánchez, José González, Tobias StauberarXiv·2025·10.1038/s41467-023-42471-4·arXiv:2501.09197AbstractWe study an interacting tight-binding model of magic-angle twisted bilayer graphene (MATBG) at a twist angle of 1.05°. Using a self-consistent mean-field normal state at charge neutrality, we construct effective theories by projecting onto the central bands and find that the flat-band bandwidth increases substantially, indicating a renormalization of the magic angle. The wavefunctions also flow toward perfect particle-hole symmetry and sublattice polarization, approaching the chiral limit. We further represent the flat bands in a vortex Chern basis and discuss how the renormalized nonflat band structure affects the symmetry-broken phases at neutrality.Read more
Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.4 propertiesSimulatedCStudied MaterialExpand
Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.5 propertiesSimulatedCStudied MaterialExpand
Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.1 propertySimulatedCStudied MaterialExpand
Research paperTheoreticalOther ComputationalNonflat bands and chiral symmetry in magic-angle twisted bilayer grapheneMiguel Sánchez Sánchez, José González, Tobias StauberarXiv·2025·10.1038/s41467-023-42471-4·arXiv:2501.09197AbstractWe study an interacting tight-binding model of magic-angle twisted bilayer graphene (MATBG) at a twist angle of 1.05°. Using a self-consistent mean-field normal state at charge neutrality, we construct effective theories by projecting onto the central bands and find that the flat-band bandwidth increases substantially, indicating a renormalization of the magic angle. The wavefunctions also flow toward perfect particle-hole symmetry and sublattice polarization, approaching the chiral limit. We further represent the flat bands in a vortex Chern basis and discuss how the renormalized nonflat band structure affects the symmetry-broken phases at neutrality.Read more
Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.4 propertiesSimulatedCStudied MaterialExpand
Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.5 propertiesSimulatedCStudied MaterialExpand
Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.1 propertySimulatedCStudied MaterialExpand
Research paperTheoreticalOther ComputationalNonflat bands and chiral symmetry in magic-angle twisted bilayer grapheneMiguel Sánchez Sánchez, José González, Tobias StauberarXiv·2025·10.1038/s41467-023-42471-4·arXiv:2501.09197AbstractWe study an interacting tight-binding model of magic-angle twisted bilayer graphene (MATBG) at a twist angle of 1.05°. Using a self-consistent mean-field normal state at charge neutrality, we construct effective theories by projecting onto the central bands and find that the flat-band bandwidth increases substantially, indicating a renormalization of the magic angle. The wavefunctions also flow toward perfect particle-hole symmetry and sublattice polarization, approaching the chiral limit. We further represent the flat bands in a vortex Chern basis and discuss how the renormalized nonflat band structure affects the symmetry-broken phases at neutrality.Read more
Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.4 propertiesSimulatedCStudied MaterialExpand
Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.5 propertiesSimulatedCStudied MaterialExpand
Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.1 propertySimulatedCStudied MaterialExpand
