%0 Journal Article %1 PhysRevResearch.5.L012041 %A Hohmann, Hendrik %A Hofmann, Tobias %A Helbig, Tobias %A Imhof, Stefan %A Brand, Hauke %A Upreti, Lavi K. %A Stegmaier, Alexander %A Fritzsche, Alexander %A Müller, Tobias %A Schwingenschlögl, Udo %A Lee, Ching Hua %A Greiter, Martin %A Molenkamp, Laurens W. %A Kießling, Tobias %A Thomale, Ronny %D 2023 %I American Physical Society %J Phys. Rev. Res. %K c %N 1 %P L012041 %R 10.1103/PhysRevResearch.5.L012041 %T Observation of cnoidal wave localization in nonlinear topolectric circuits %U https://link.aps.org/doi/10.1103/PhysRevResearch.5.L012041 %V 5 %X We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of nonlinearity and the topology inherent to a Su-Schrieffer-Heeger (SSH) chain of inductors. Varicap diodes act as voltage-dependent capacitors, and create a nonlinear on-site potential. For a sinusoidal voltage excitation around midgap frequency, we show that the voltage response in the nonlinear 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 nonlinear regime, where the cnoidal eccentricity decreases from edge to bulk.

@article{PhysRevResearch.5.L012041, abstract = {We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of nonlinearity and the topology inherent to a Su-Schrieffer-Heeger (SSH) chain of inductors. Varicap diodes act as voltage-dependent capacitors, and create a nonlinear on-site potential. For a sinusoidal voltage excitation around midgap frequency, we show that the voltage response in the nonlinear 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 nonlinear regime, where the cnoidal eccentricity decreases from edge to bulk.}, added-at = {2023-07-03T12:04:25.000+0200}, author = {Hohmann, Hendrik and Hofmann, Tobias and Helbig, Tobias and Imhof, Stefan and Brand, Hauke and Upreti, Lavi K. and Stegmaier, Alexander and Fritzsche, Alexander and M\"uller, Tobias and Schwingenschl\"ogl, Udo and Lee, Ching Hua and Greiter, Martin and Molenkamp, Laurens W. and Kie\ss{}ling, Tobias and Thomale, Ronny}, biburl = {https://www.bibsonomy.org/bibtex/2796e58153e38a926d311e5ecc86e7e94/ctqmat}, day = 21, doi = {10.1103/PhysRevResearch.5.L012041}, interhash = {e6c60b224289af16caced46e2b498e9f}, intrahash = {796e58153e38a926d311e5ecc86e7e94}, journal = {Phys. Rev. Res.}, keywords = {c}, month = {03}, number = 1, numpages = {6}, pages = {L012041}, publisher = {American Physical Society}, timestamp = {2024-02-23T11:09:16.000+0100}, title = {Observation of cnoidal wave localization in nonlinear topolectric circuits}, url = {https://link.aps.org/doi/10.1103/PhysRevResearch.5.L012041}, volume = 5, year = 2023 }