Observation of cnoidal wave localization in nonlinear topolectric circuits

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Type
Article
Authors
Hohmann, Hendrik cc
Hofmann, Tobias cc
Helbig, Tobias cc
Imhof, Stefan
Brand, Hauke cc
Upreti, Lavi K. cc
Stegmaier, Alexander cc
Fritzsche, Alexander
Müller, Tobias cc
Schwingenschlögl, Udo cc
Lee, Ching Hua cc
Greiter, Martin cc
Molenkamp, Laurens W.
Kießling, Tobias
Thomale, Ronny cc
KAUST Department
Material Science and Engineering Program
Physical Science and Engineering (PSE) Division
Applied Physics
KAUST Solar Center (KSC)
KAUST Grant Number
2022-CRG10-4660
Date
2023-03-21
Permanent link to this record
http://hdl.handle.net/10754/679348

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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.
Citation
Hohmann, H., Hofmann, T., Helbig, T., Imhof, S., Brand, H., Upreti, L. K., Stegmaier, A., Fritzsche, A., Müller, T., Schwingenschlögl, U., Lee, C. H., Greiter, M., Molenkamp, L. W., Kießling, T., & Thomale, R. (2023). Observation of cnoidal wave localization in nonlinear topolectric circuits. Physical Review Research, 5(1). https://doi.org/10.1103/physrevresearch.5.l012041
Sponsors
We thank Aurelien Manchon for useful discussions. The work is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 258499086 - SFB 1170 and through the WürzburgDresden Cluster of Excellence on Complexity and Topology in Quantum Matter–ct.qmat Project-ID 390858490 - EXC 2147. C.H.L. is funded by Singapore’s Ministry of Education Tier-I grant (WBS A-8000022-00-00). We acknowledge funding from King Abdullah University of Science and Technology (KAUST) under Award 2022-CRG10-4660. T.He. was supported by a Ph.D. scholarship of the Studienstiftung des Deutschen Volkes.
Publisher
American Physical Society (APS)
Journal
Physical Review Research
DOI
10.1103/physrevresearch.5.l012041
arXiv
2206.09931
Additional Links
https://link.aps.org/doi/10.1103/PhysRevResearch.5.L012041
Collections
Articles; Applied Physics; Physical Science and Engineering (PSE) Division; Material Science and Engineering Program; Computational Physics and Materials Science (CPMS); KAUST Solar Center (KSC)
Archived with thanks to Physical Review Research under a Creative Commons license, details at: https://creativecommons.org/licenses/by/4.0/
Except where otherwise noted, this item's license is described as Archived with thanks to Physical Review Research under a Creative Commons license, details at: https://creativecommons.org/licenses/by/4.0/

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VersionItemEditorDateSummary
210754/679348*Valliyodan Soorya2023-03-23T06:13:31ZPublished in journal
110754/679348.1KAUST Repository2022-06-26T10:45:02Z

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