The study reveals unique Hopf-type topology in non-Hermitian systems, indicating new boundary states.
Non-Hermiticity ubiquitously appears in nature and enriches topological phases of matter. Extending beyond the existing K-theory framework, the authors reveal here Hopf-type topology requiring exactly two bands, intrinsic to non-Hermitian systems. Explicitly constructing prototypical models, they further demonstrate that these non-Hermitian topological phases support anomalous boundary states detachable from the bulk bands.
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Nakamura et al. (2025) studied this question.
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