Local time-reversal-invariant topological markers in two dimensions

arXiv:2609.28213 · cond-mat.mes-hall, cond-mat.dis-nn · Submitted 2026-09-23 · Read on arXiv

cond-mat.mes-hall, cond-mat.dis-nn

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Spectral Gap — 35× in this paper · explained in 5 episodes
• Chern Number — 9× in this paper · explained in 4 episodes
• Topological Order — 5× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Altland-Zirnbauer Classes — 1× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Robust topological invariants of topological crystalline phases in the presence of impurities
• A Guide to the Bott Index and Localizer Index
• Geometry-Enforced Topological Chiral Fermions in Amorphous Chiral Metals
• Leveraging structural disorder to enhance topological phases
• Phase diagram of amorphous quantum spin Hall insulators

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