Erratic non-Hermitian skin localization

2025/04/21 by Longhi, Stefano · 10 citations
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Optics (physics.optics) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2504.14910

Abstract

A novel localization phenomenon, termed erratic non-Hermitian skin localization, has been identified in disordered globally-reciprocal non-Hermitian lattices. Unlike conventional non-Hermitian skin effect and Anderson localization, it features macroscopic eigenstate localization at irregular, disorder-dependent positions with sub-exponential decay. Using the Hatano-Nelson model with disordered imaginary gauge fields as a case study, this effect is linked to stochastic interfaces governed by the universal order statistics of random walks. Finite-size scaling analysis confirms the localized nature of the eigenstates. This discovery challenges conventional wave localization paradigms, offering new avenues for understanding and controlling localization phenomena in non-Hermitian physics.

Cited by

• Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions
• Anomalous Wave-Packet Dynamics in One-Dimensional Non-Hermitian Lattices
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Entanglement complexification transition driven by a single non-Hermitian impurity
• Quantum-Squeezing-Induced Algebraic Non-Hermitian Skin Effects and Ultra Spectral Sensitivity
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Size-dependent critical localization
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Lyapunov formulation of band theory for disordered non-Hermitian systems

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