Non-Hermitian braid topology emerges from zero-mode resonant projection of a Hermitian parent lattice, with the braid count identified with the quantized complex Berry phase under conjugated pseudo-Hermiticity induced by embedding parity.
Wang, Classifying order-two spatial symmetries in non- hermitian hamiltonians: Point-gapped az and az † classes (2024), arXiv:2411.03410 [cond-mat.mes-hall]
2 Pith papers cite this work. Polarity classification is still indexing.
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Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.
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Non-Hermitian Crystalline Braid Topology from Hermitian Projection: A Zero-Mode Resonance Mechanism
Non-Hermitian braid topology emerges from zero-mode resonant projection of a Hermitian parent lattice, with the braid count identified with the quantized complex Berry phase under conjugated pseudo-Hermiticity induced by embedding parity.
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Complex Wannier centers and drifting Wannier functions in non-Hermitian Hamiltonians
Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.