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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A unified framework classifies non-Hermitian skin effects into electric (imaginary scalar potential) and magnetic (imaginary vector potential) types, identifies boundary-insensitive modes, and reveals a delocalization phase transition.
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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.
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A Unified Framework for the Non-Hermitian Localization: Boundary-Insensitive Modes and Electric-Magnetic Analogy
A unified framework classifies non-Hermitian skin effects into electric (imaginary scalar potential) and magnetic (imaginary vector potential) types, identifies boundary-insensitive modes, and reveals a delocalization phase transition.