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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
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.
-
Topology of the generalized Brillouin zone of one-dimensional models
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.