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Anderson transition in disordered Hatano-Nelson systems
Silvio Barandun·March 18, 2026
cond-mat.dis-nnMesoscale PhysicsQuantum Physics
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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.