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29 March 2024
 
  » arxiv » 2206.09931

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Observation of cnoidal wave localization in non-linear topolectric circuits
Hendrik Hohmann ; Tobias Hofmann ; Tobias Helbig ; Stefan Imhof ; Hauke Brand ; Lavi K. Upreti ; Alexander Stegmaier ; Alexander Fritzsche ; Tobias Müller ; Udo Schwingenschlögl ; Ching Hua Lee ; Martin Greiter ; Laurens W. Molenkamp ; Tobias Kießling ; Ronny Thomale ;
Date 20 Jun 2022
AbstractWe observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of non-linearity and the topology inherent to a Su-Schrieffer-Heeger (SSH) chain of inductors. Varicap diodes act as voltage-dependent capacitors, and create a non-linear on-site potential. For a sinusoidal voltage excitation around midgap frequency, we show that the voltage response in the non-linear SSH circuit follows the Korteweg-de Vries equation. The topological SSH boundary state which relates to a midgap impedance peak in the linearized limit is distorted into the LCn state in the non-linear regime, where the cnoidal eccentricity decreases from edge to bulk.
Source arXiv, 2206.09931
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