Anderson transition in disordered Hatano-Nelson systems

Silvio Barandun

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arXiv · 2603.18286

Anderson transition in disordered Hatano-Nelson systems

Silvio Barandun

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Abstract

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the topological invariant associated with an eigenvalue coincides with the eigenvector crossover from non-Hermitian skin effect to Anderson localization, establishing a universal criterion for localization behavior.

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Silvio Barandun. 2026-03-18. Anderson transition in disordered Hatano-Nelson systems. https://arxiv.org/abs/2603.18286

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