Universal Generalized Brillouin Zone Theory I: Review of the Spectral Approach

arXiv:2609.23523 · cond-mat.mes-hall · Submitted 2026-09-20 · Read on arXiv

cond-mat.mes-hall

Submitted: 2026-09-20

Updated: 2026-09-20

Terminology

• Quantization — 13× in this paper · explained in 12 episodes
• Degeneracy — 8× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Non-Hermitian Skin Effect — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Non-Hermitian skin effect in arbitrary dimensions: non-Bloch band theory and classification
• Two-dimensional Asymptotic Generalized Brillouin Zone Theory
• Ultra spectral sensitivity and non-local bi-impurity bound states from quasi-long-range non-hermitian skin modes
• General theory for geometry-dependent non-Hermitian bands

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