Topological Edge State Nucleation in Frequency Space and its Realization with Floquet Electrical Circuits

2024/07/14 by Alexander Stegmaier, Alexander Fritzsche, Stegmaier, Alexander +25 · 2 citations
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Metamaterials and Metasurfaces Applications #Optics (physics.optics) #Photonic Crystals and Applications #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2407.10191

openalex publication_date 2024/07/14 · openalex created_date 2024/07/17 · openalex updated_date 2026/07/28

Abstract

We build Floquet-driven capactive circuit networks to realize topological states of matter in the frequency domain. We find the Floquet circuit network equations of motion to reveal a potential barrier which effectively acts as a boundary in frequency space. By implementing a Su-Shrieffer-Heeger Floquet lattice model and measuring the associated circuit Laplacian and characteristic resonances, we demonstrate how topological edge modes can nucleate at such a frequency boundary.

Cited by

• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Interacting many-body non-Hermitian systems as Markov chains

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