Topological Transverse Transport without a Gap in Critical Topological Flat Bands

arXiv:2609.40065 · cond-mat.mes-hall, cond-mat.str-el · Submitted 2026-09-30 · Read on arXiv

cond-mat.mes-hall, cond-mat.str-el

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Quantization — 5× in this paper · explained in 12 episodes
• Berry Curvature — 4× in this paper · explained in 3 episodes
• Spectral Gap — 4× in this paper · explained in 5 episodes
• Degeneracy — 3× in this paper · explained in 3 episodes
• Chern Number — 2× in this paper · explained in 4 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes

Sources

• Stable Topology in Exactly Flat Bands
• The theory of topological-topological flat bands
• Color and Transparency from Quantum Geometry
• Ultrafast Current Switching from Quantum Geometry in Semimetals
• Quantum-geometry-enabled Landau-Zener tunneling in singular flat bands
• Fractional quantization by interaction of arbitrary strength in gapless flat bands with divergent quantum geometry
• Orbital Embedding and the Physical Definition of Quantum Geometry

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