Observation of cnoidal wave localization in non-linear topolectric circuits
We 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 poten...
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| creator | Hohmann, Hendrik Hofmann, Tobias Helbig, Tobias Imhof, Stefan Brand, Hauke Upreti, Lavi K Stegmaier, Alexander Fritzsche, Alexander Müller, Tobias Schwingenschlögl, Udo Lee, Ching Hua Greiter, Martin Molenkamp, Laurens W Kießling, Tobias Thomale, Ronny |
| description | We 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. |
| doi_str_mv | 10.48550/arxiv.2206.09931 |
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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. 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| subjects | Circuits Cnoidal waves Electric potential Inductors Korteweg-Devries equation Physics - Applied Physics Physics - Mesoscale and Nanoscale Physics Physics - Pattern Formation and Solitons Topology Voltage |
| title | Observation of cnoidal wave localization in non-linear topolectric circuits |
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