Anderson transition in disordered Hatano-Nelson systems

• URL: http://arxiv.org/abs/2603.18286v2
• Date: Mon, 23 Mar 2026 19:52:34 GMT
• Title: Anderson transition in disordered Hatano-Nelson systems
• Abstract summary: We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization.<n>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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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