Reciprocal skin effect and its realization in a topolectrical circuit
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.
Cite
@article{arxiv.1908.02759,
title = {Reciprocal skin effect and its realization in a topolectrical circuit},
author = {Tobias Hofmann and Tobias Helbig and Frank Schindler and Nora Salgo and Marta Brzezińska and Martin Greiter and Tobias Kiessling and David Wolf and Achim Vollhardt and Anton Kabaši and Ching Hua Lee and Ante Bilušić and Ronny Thomale and Titus Neupert},
journal= {arXiv preprint arXiv:1908.02759},
year = {2020}
}
Comments
12 pages, 5 figures, accepted manuscript