Anomalous scale-free localization with energy-dependent Lyapunov exponent in a non-Hermitian lattice generates impurity-induced loss bursts without imaginary-gap closing.
For η ≪ 1, the conventional impurity-controlled term ln |2t/η |is large and dominates the Lyapunov exponent
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Impurity-induced loss bursts from anomalous scale-free localization in a non-Hermitian dissipative lattice
Anomalous scale-free localization with energy-dependent Lyapunov exponent in a non-Hermitian lattice generates impurity-induced loss bursts without imaginary-gap closing.