Reciprocal skin effect and its realization in a topolectrical circuit

By T. Hofmann, T. Helbig, F. Schindler, Nora Salgo, M. Brzezińska, M. Greiter, T. Kießling, David Wolf, A. Vollhardt, A. Kabaši and 4 more. 2019

281 citations recorded by the source corpus.

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial research on synthetic topological matter, the skin effect describes the conspiracy of non-Hermiticity and non-reciprocity to yield extensive anomalous localization of all eigenmodes in a (quasi) one-dimensional geometry. Here, we introduce the reciprocal skin effect, which occurs in non-Hermitian but reciprocal systems in two or more dimensions: Eigenmodes with opposite longitudinal momentum exhibit opposite transverse anomalous localization. We experimentally demonstrate the reciprocal skin effect in a passive RLC circuit, suggesting convenient alternative implementations in optical, acoustic, mechanical, and related platforms. Skin mode localization brings forth potential applications in directional and polarization detectors for electromagnetic waves.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/06460e907dfdb25e85aa44dcde3613fb349deeec

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class (2020, background): “Recent experimental observations confirmed it in mechanical metamaterials [68], electrical circuits [69], and quantum walk [70].”
Exceptional topology of non-Hermitian systems (2019, unknown): “It is worthwhile to point out that skin states do not necessarily have to accumulate on one boundary alone (Song, Yao, and Wang, 2019b; Hofmann et al. , 2020).”
A review on non-Hermitian skin effect (2022, methodology): “freedom [103-120], and experimentally demonstrating the NHSE [114,117,121-130].”