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Disorder and non-Hermitian effects can alter wave localization. A new study shows that antisymmetrically correlated disorder in coupled chains can induce Anderson delocalization and reinstate the non-Hermitian skin effect (NHSE).

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Wave phenomena

Background:

  • Disorder and non-Hermitian effects typically influence wave localization.
  • In 1D disordered chains, the non-Hermitian skin effect (NHSE) can cause Anderson delocalization, contradicting standard localization theories.
  • While weak disorder preserves NHSE, strong disorder leads to Anderson localization.

Purpose of the Study:

  • To investigate the interplay of disorder, non-Hermiticity, and interchain coupling on wave localization.
  • To explore Anderson delocalization in a coupled system with antisymmetrically correlated disorder.
  • To demonstrate the reemergence of NHSE under specific coupling conditions.

Main Methods:

  • Coupling a disordered Hatano-Nelson chain to a disordered Hermitian chain with antisymmetrically correlated disorder.
  • Analyzing the system's behavior using a real-space winding number.
  • Building and measuring an electrical-circuit analog to experimentally verify findings.

Main Results:

  • A critical interchain coupling threshold was identified, leading to Anderson delocalization.
  • Anderson delocalization occurs irrespective of disorder strength above this threshold.
  • The non-Hermitian skin effect (NHSE) is reinstated, even without a Hermitian counterpart.
  • The transition is driven by nonreciprocal hopping, interchain coupling, and engineered disorder correlations.

Conclusions:

  • Engineered disorder correlations in coupled non-Hermitian and Hermitian systems can lead to novel delocalization phenomena.
  • The study reveals unexplored physics at the intersection of non-Hermiticity and disorder.
  • Experimental validation via electrical circuits confirms the reemergence of NHSE.