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arXiv · 1908.02759

Reciprocal skin effect and its realization in a topolectrical circuit

Tobias Hofmann·Tobias Helbig·Frank Schindler·Nora Salgo·Marta Brzezińska·Martin Greiter·Tobias Kiessling·David Wolf·Achim Vollhardt·Anton Kabaši·Ching Hua Lee·Ante Bilušić·Ronny Thomale·Titus Neupert
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Abstract

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.

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Tobias Hofmann, Tobias Helbig, Frank Schindler, Nora Salgo, Marta Brzezińska, Martin Greiter, Tobias Kiessling, David Wolf, Achim Vollhardt, Anton Kabaši, Ching Hua Lee, Ante Bilušić, Ronny Thomale, Titus Neupert. 2019-08-07. Reciprocal skin effect and its realization in a topolectrical circuit. https://doi.org/10.1103/physrevresearch.2.023265

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