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- W4313305561 abstract "The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that unifies Hermitian and non-Hermitian systems. Particularly, we derive an elegant identity that equates the linking number between the knots of braiding non-Hermitian bands and the zero-energy loop to the topological invariant of chiral-symmetric topological phases in one dimension. Moreover, we find an exotic class of phase transitions arising from the critical point transforming different knot structures of the non-Hermitian braiding, which are not included in the conventional Hermitian topological phase transition theory. Nevertheless, we show the bulk-boundary correspondence between the bulk non-Hermitian braiding and boundary zero-modes of the Hermitian topological insulators. Finally, we construct typical topological phases with non-Hermitian braidings, which can be readily realized by artificial crystals." @default.
- W4313305561 created "2023-01-06" @default.
- W4313305561 creator A5057590099 @default.
- W4313305561 creator A5070822232 @default.
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- W4313305561 date "2022-12-28" @default.
- W4313305561 modified "2023-09-23" @default.
- W4313305561 title "Hermitian Topologies originating from non-Hermitian braidings" @default.
- W4313305561 doi "https://doi.org/10.48550/arxiv.2212.13736" @default.
- W4313305561 hasPublicationYear "2022" @default.
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