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<p>Topolectrical circuits are electrical networks that encode topological band theory. Their physical behaviour is set by how the components are wired together, not by where they are placed. This wiring-centred design delivers defect tolerance, directional signal flow without bulky magnetic parts, and amplified response at boundaries. Conventional electronics obtain these only by adding isolators, feedback or calibration after the circuit is laid out. In this Review, we identify which capabilities are engineering-ready and which remain confined to the laboratory. We cover the underlying physics, the resulting sensors and engineering applications, and cross-disciplinary uses in quantum simulation, artificial&#xa0;intelligence-assisted design and curved-space geometries. We then examine how co-integration with memristive devices makes the platform adaptive and history-dependent. We close with the hardware routes towards deployable electronics, from monolithic chips to flexible substrates and body-worn systems.</p>

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Engineering topolectrical circuits

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Yuxin Jiang,
  • Wenhao Li,
  • Weixuan Zhang,
  • Ce Shang,
  • Yihao Yang,
  • Xiangdong Zhang,
  • Ching Hua Lee,
  • Ronny Thomale

摘要

Topolectrical circuits are electrical networks that encode topological band theory. Their physical behaviour is set by how the components are wired together, not by where they are placed. This wiring-centred design delivers defect tolerance, directional signal flow without bulky magnetic parts, and amplified response at boundaries. Conventional electronics obtain these only by adding isolators, feedback or calibration after the circuit is laid out. In this Review, we identify which capabilities are engineering-ready and which remain confined to the laboratory. We cover the underlying physics, the resulting sensors and engineering applications, and cross-disciplinary uses in quantum simulation, artificial intelligence-assisted design and curved-space geometries. We then examine how co-integration with memristive devices makes the platform adaptive and history-dependent. We close with the hardware routes towards deployable electronics, from monolithic chips to flexible substrates and body-worn systems.