July 30, 2025

Non-Hermitian Hopf insulators

Puntos clave

Non-Hermitian systems support new topological phases, leading to anomalous boundary states distinct from bulk bands.
The models constructed involve exactly two bands, highlighting a novel type of Hopf-type topology.
These findings extend current understanding beyond the traditional K-theory framework, suggesting a significant shift in topological phase interpretation.
Implications of this research may open avenues for advanced applications in materials science and quantum computing.

Resumen

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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