ArticleProceedings of the National Academy of Sciences of the United States of America2021
Active topolectrical circuits.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Topological non-Abelian gauge structures in Cayley-Schreier lattices.Nature communications · 2026Article
- Topology in Thermal, Particle, and Plasma Diffusion Metamaterials.Chemical reviews · 2025Review
- Protected Chaos in a Topological Lattice.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Transition from the topological to the chaotic in the nonlinear Su-Schrieffer-Heeger model.Nature communications · 2025Article
- Topolectrical space-time circuits.Nature communications · 2025Article
- Non-Hermitian Global Synchronization.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Vibrational resonance and chaos control in the canonical Chua's circuit with a smooth nonlinear resistor.Scientific reports · 2024Article
- Bloch oscillations, Landau-Zener transition, and topological phase evolution in an array of coupled pendula.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Model-free characterization of topological edge and corner states in mechanical networks.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Hyperbolic matter in electrical circuits with tunable complex phases.Nature communications · 2023Article
- Fully integrated topological electronics.Scientific reports · 2022Article
- Simulating hyperbolic space on a circuit board.Nature communications · 2022Article
- Topological framework for directional amplification in driven-dissipative cavity arrays.Nature communications · 2020Article
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Authors and funding
9 authors.
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Abstract
The transfer of topological concepts from the quantum world to classical mechanical and electronic systems has opened fundamentally different approaches to protected information transmission and wave guidance. A particularly promising emergent technology is based on recently discovered topolectrical circuits that achieve robust electric signal transduction by mimicking edge currents in quantum Hall systems. In parallel, modern active matter research has shown how autonomous units driven by internal energy reservoirs can spontaneously self-organize into collective coherent dynamics. Here, we unify key ideas from these two previously disparate fields to develop design principles for active topolectrical circuits (ATCs) that can self-excite topologically protected global signal patterns. Realizing autonomous active units through nonlinear Chua diode circuits, we theoretically predict and experimentally confirm the emergence of self-organized protected edge oscillations in one- and two-dimensional ATCs. The close agreement between theory, simulations, and experiments implies that nonlinear ATCs provide a robust and versatile platform for developing high-dimensional autonomous electrical circuits with topologically protected functionalities.
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