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Observation of disorder-induced boundary localization

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arxiv 2402.10989 v2 pith:OHTADQOE submitted 2024-02-16 physics.class-ph cond-mat.dis-nn

classification physics.class-phcond-mat.dis-nn
keywords localizationdisordernon-hermitianboundarytopologyandersoneffectdisorder-induced
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Bloch wavefunctions in crystals experience localization within the bulk when disorder is introduced, a phenomenon commonly known as Anderson localization. This effect is considered universal, being applicable to all types of waves, quantum or classical. However, the interaction between disorder and topology -- a concept that has profoundly transformed many branches of physics -- necessitates revisiting the original Anderson localization picture. For instance, in the recently discovered topological Anderson insulator, the introduction of disorder induces topological boundary states that can resist localization due to protection from line-gap topology. While line-gap topology applies to both Hermitian and non-Hermitian systems, non-Hermitian systems uniquely exhibit point-gap topology, which has no Hermitian counterparts and leads to the non-Hermitian skin effect. Here, we experimentally demonstrate disorder-induced point-gap topology in a non-Hermitian acoustic crystal. This crystal, with non-Hermitian disorder in nearest-neighbor couplings, exhibits the non-Hermitian skin effect, where all eigenstates localize at a boundary. Interestingly, the boundary where localization occurs -- either the left or right -- depends on the strength of the disorder. As the disorder strength increases, the direction of boundary localization can be reversed. Additionally, we observe a ``bipolar" skin effect, where boundary localization occurs at both the left and right boundaries when disorder is introduced in next-nearest-neighbor couplings. These findings experimentally reveal a non-Hermitian mechanism of disorder-induced localization that goes beyond the conventional framework of Anderson localization.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lyapunov formulation of band theory for disordered non-Hermitian systems

    cond-mat.dis-nn 2025-07 conditional novelty 7.0 of 10

    A Lyapunov-exponent formulation gives exact spectral densities and a topological skin-Anderson transition criterion for disordered non-Hermitian 1D lattices.

  2. Anisotropic Anderson localization in higher-dimensional nonreciprocal lattices

    cond-mat.dis-nn 2025-07 conditional novelty 6.0 of 10

    A 2D nonreciprocal Hatano-Nelson model hosts hybrid eigenstates with skin localization along one axis and Anderson localization along the other, yielding an ALM-HM-ALM reentrant transition.

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