Erratic non-Hermitian skin localization

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.

7 pages, 5 figures, accepted for publication in the Physical Review Letters

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Cited by in corpus (11)

• Universal non-Hermitian transport in disordered systems
• Many-body critical non-Hermitian skin effect
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Non-Hermitian second-order topological insulator with point gap