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Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains

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arxiv 2311.03777 v6 pith:QKRJCJRX submitted 2023-11-07 cond-mat.dis-nn cond-mat.mes-hall

Wei-Wu Jin , Jin Liu , Xin Wang , Yu-Ran Zhang , Xueqin Huang , Xiaomin Wei , Wenbo Ju , Zhongmin Yang
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Tao Liu Franco Nori
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classification cond-mat.dis-nncond-mat.mes-hall
keywords disorderandersondisorderednhsechaincouplingdelocalizationnon-hermitian
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Disorder and non-Hermitian effects together can upend how waves localize. In a 1D disordered chain, the non-Hermitian skin effect (NHSE) can induce Anderson delocalization, defying the usual rule that disorder in low dimensions always localizes states. While weak disorder leaves the NHSE intact, strong disorder restores Anderson localization. Here, we study a surprising twist: coupling a strongly disordered Hatano-Nelson chain to a disordered Hermitian chain with their disorder anti-symmetrically correlated. Strikingly, once the inter-chain coupling exceeds a threshold, the system undergoes Anderson delocalization irrespective of disorder strength, reinstating the NHSE with no Hermitian counterpart. This transition arises from the interplay of non-reciprocal hopping, inter-chain coupling, and engineered disorder correlations, and is captured by a real-space winding number. To confirm this, we build an electrical-circuit analog and directly observe the re-emergent NHSE via voltage measurements. Our work uncovers unexplored and experimentally accessible physics at the crossroads of non-Hermiticity and disorder.

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Cited by 4 Pith papers

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

  1. Phase-space Generalized Brillouin Zone for spatially inhomogeneous non-Hermitian systems

    cond-mat.mes-hall 2025-01 conditional novelty 8.0 of 10

    A position-dependent generalized Brillouin zone is introduced for spatially inhomogeneous non-Hermitian chains, predicting real spectral tails and topological zero modes from GBZ branch jumps.

  2. Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit

    cond-mat.dis-nn 2025-01 conditional novelty 6.0 of 10

    A disordered non-Hermitian electrical circuit with a single impurity is reported to show scale-free eigenstate localization whose direction is set by the impurity, opposite to the bulk hopping direction.

  3. Interaction-Induced Second-Order Skin Effect

    quant-ph 2025-01 accept novelty 6.0 of 10

    Interaction-induced corner localization of doublons in a 2D non-Hermitian Bose-Hubbard model constitutes a second-order skin effect with corner-mode count growing linearly with system size.

  4. Complex Frequency Fingerprint: Basic Concept and Theory

    cond-mat.mes-hall 2024-11 conditional novelty 5.0 of 10

    A measured response matrix at one driving frequency is algebraically continued into the complex-frequency plane, yielding a fingerprint that identifies non-Hermitian skin modes and complex-energy quasiparticle peaks.

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