A scale-free topological directional amplification is found in the Hatano-Nelson model with perturbed open boundaries, attributed to first-order boundary effects and characterized by a winding number on a continuous generalization of the finite-size Brillouin zone.
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Generalized Brillouin zones in non-Hermitian 1D models can become disconnected with more connected components than bands from point-gap features, allowing line gaps to close without altering point-gap topology.
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Scale-Free Response with Directional Amplification in Critical Non-Hermitian Systems
A scale-free topological directional amplification is found in the Hatano-Nelson model with perturbed open boundaries, attributed to first-order boundary effects and characterized by a winding number on a continuous generalization of the finite-size Brillouin zone.