Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains

Abstract

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.

19 pages, 15 figures

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Cited by in corpus (5)

• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Recent progress on disorder-induced topological phases
• Scattering States in One-Dimensional Non-Hermitian Baths
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field