Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Miguel Sánchez Sánchez; José González; Tobias Stauber

doi:10.1038/s41467-023-42471-4

Paper details

Research paper

TheoreticalOther Computational

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Miguel Sánchez Sánchez, José González, Tobias Stauber

arXiv·2025·10.1038/s41467-023-42471-4·arXiv:2501.09197

Samples

Each sample groups how it was prepared, characterized, and measured. Click a card to expand.

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

4 properties

SimulatedCStudied Material

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

5 properties

SimulatedCStudied Material

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

1 property

SimulatedCStudied Material

Materials

magic-angle twisted bilayer graphene

Studied Material

Also known as

MATBGtwisted bilayer graphene

Variables

twist_angle_deg= 1.05

studied material

Properties

Type	Label	Value	Material	Sample	Source
Bandwidth	bare flat-band bandwidth	8.7meV	C	Bare interacting tight-binding model of MATBG at twist angle	—
Bandwidth	renormalized flat-band bandwidth	15.3meV	C	Self-consistent symmetric mean-field normal state of MATBG a	—
Bandwidth	renormalized flat-band bandwidth	48.4meV	C	Self-consistent symmetric mean-field normal state of MATBG a	—
Band Gap	electron-side gap between flat and remote bands	20.2meV	C	Bare interacting tight-binding model of MATBG at twist angle	—
Band Gap	electron-side gap between flat and remote bands	26.8meV	C	Self-consistent symmetric mean-field normal state of MATBG a	—
Band Gap	hole-side gap between flat and remote bands	23.9meV	C	Bare interacting tight-binding model of MATBG at twist angle	—
Band Gap	hole-side gap between flat and remote bands	30.8meV	C	Self-consistent symmetric mean-field normal state of MATBG a	—
Bandwidth	minimal Hamiltonian bandwidth	41.9meV	C	Projected low-energy effective model for the central bands o	—
Bandwidth	bare bandwidth	8.7meV	C	Bare interacting tight-binding model of MATBG at twist angle	—
Bandwidth	renormalized bandwidth	48.4meV	C	Self-consistent symmetric mean-field normal state of MATBG a	—

Why these are connected

Related documents with shared materials, methods, properties, or citations.

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene | Matter42 Literature

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene

Samples

Bare interacting tight-binding model of MATBG at twist angle 1.05° before self-consistent mean-field renormalization.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter epsr = 10 and Hubbard U = 4 eV.

Projected low-energy effective model for the central bands of MATBG after many-body projection; includes nB = 4 and nB = 20 variants.

Materials

Properties

Why these are connected

Simulations

Simulations

Simulations

Simulations

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.

Self-consistent symmetric mean-field normal state of MATBG at charge neutrality with screening parameter eps_r = 10 and Hubbard U = 4 eV.