Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity

• URL: http://arxiv.org/abs/2302.09081v2
• Date: Thu, 5 Oct 2023 13:36:08 GMT
• Title: Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Authors: Paolo Molignini, Oscar Arandes, and Emil J. Bergholtz
• Abstract summary: A striking feature of the solvable single-impurity model is that the presence of anisotropic hopping terms can induce a scale-free accumulation of eigenstates opposite to the bulk hopping direction. The interplay with bulk potential disorder, however, qualitatively enriches this phenomenology leading to a robust nonmonotonic localization behavior. Nonmonotonicity persists even in the limit of an entirely Hermitian bulk with a single non-Hermitian impurity.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore anomalous skin effects at non-Hermitian impurities by studying their interplay with potential disorder and by exactly solving a minimal lattice model. A striking feature of the solvable single-impurity model is that the presence of anisotropic hopping terms can induce a scale-free accumulation of all eigenstates opposite to the bulk hopping direction, although the nonmonotonic behavior is fine tuned and further increasing such hopping weakens and eventually reverses the effect. The interplay with bulk potential disorder, however, qualitatively enriches this phenomenology leading to a robust nonmonotonic localization behavior as directional hopping strengths are tuned. Nonmonotonicity persists even in the limit of an entirely Hermitian bulk with a single non-Hermitian impurity.

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