Theory of Magic Angles in Twisted Bilayer Graphene: from Non-Abelian Gauge Fields to Flat Bands

arXiv:2610.07734 · cond-mat.mes-hall, cond-mat.mtrl-sci · Submitted 2026-10-06 · Read on arXiv

cond-mat.mes-hall, cond-mat.mtrl-sci

Submitted: 2026-10-06

Updated: 2026-10-06

Terminology

• Chern Number — 15× in this paper · explained in 4 episodes
• Berry Curvature — 5× in this paper · explained in 3 episodes
• Degeneracy — 4× in this paper · explained in 3 episodes
• Frustration — 4× in this paper · explained in 2 episodes
• Quantization — 3× in this paper · explained in 12 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Alternation — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes

Sources

• Classically forbidden regions in the chiral model of twisted bilayer graphene. With an appendix by Zhongkai Tao and Maciej Zworski

Related papers

• Spectral density of angular momentum transfer from a swift electron to a large spherical nanoparticle
• High-harmonic spin-current signatures of altermagnetic spin-group symmetry
• Engineering the localization transition in a Charge-Kondo circuit
• Thermodynamic signatures of spectral compression in weakly non-Hermitian Dirac fermions
• Magnetoconductivity of two-dimensional Dirac cones and gapped nodal-rings under impurity-potentials in the ultraquantum limit
• Hot-Carrier Distribution Spectroscopy by Transconductance in Two-Dimensional Field-Effect Transistors