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- W4313304933 abstract "Recently, it was discovered that certain non-Hermitian systems can exhibit qualitative different properties at different system sizes, such as being gapless at small sizes and having topological edge modes at large sizes $L$. This dramatic system size sensitivity is known as the critical non-Hermitian skin effect (cNHSE), and occurs due to the competition between two or more non-Hermitian pumping channels. In this work, we rigorously develop the notion of a size-dependent generalized Brillouin zone (GBZ) in a general multi-component cNHSE model ansatz, and found that the GBZ exhibits a universal $a+b^{1/(L+1)}$ scaling behavior. In particular, we provided analytical estimates of the scaling rate $b$ in terms of model parameters, and demonstrated their good empirical fit with two paradigmatic models, the coupled Hatano-Nelson model with offset, and the topologically coupled chain model with offset. We also provided analytic result for the critical size $L_c$, below which cNHSE scaling is frozen. The cNHSE represents the result of juxtaposing different channels for bulk-boundary correspondence breaking, and can be readily demonstrated in non-Hermitian metamaterials and circuit arrays." @default.
- W4313304933 created "2023-01-06" @default.
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- W4313304933 date "2022-12-27" @default.
- W4313304933 modified "2023-09-23" @default.
- W4313304933 title "Universal competitive spectral scaling from the critical non-Hermitian skin effect" @default.
- W4313304933 doi "https://doi.org/10.48550/arxiv.2212.13536" @default.
- W4313304933 hasPublicationYear "2022" @default.
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