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Updated: Jan 8, 2026
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Forming, Confining, and Observing Microtubule-Based Active Nematics
Published on: January 13, 2023
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Hermitian and non-Hermitian topology in active matter
Kazuki Sone1,2, Kazuki Yokomizo3, Kyogo Kawaguchi3,4,5,6
1Department of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan.
Reports on Progress in Physics. Physical Society (Great Britain)
|December 18, 2025
Summary
Active matter, inspired by biology, explores topological phenomena in physics. This research bridges active matter and topological materials, revealing exotic properties in nonequilibrium systems.
Area of Science:
- Physics
- Condensed Matter Physics
- Biophysics
Background:
- Self-propulsion in biological systems creates nonequilibrium phenomena.
- Topology explains robust properties in condensed matter systems, like topological insulators.
- Active matter is a rapidly developing field driven by biophysical interest and experimental advances.
Purpose of the Study:
- To review the interdisciplinary research at the intersection of active matter and topology.
- To extend the concept of band topology from Hermitian to nonequilibrium (non-Hermitian) systems.
- To explore exotic topological phenomena in active matter systems.
Main Methods:
- Introduction to active matter and band topology in Hermitian systems.
- Explanation of extending band topology to nonequilibrium systems.
- Review of studies connecting active matter and topological materials.
Main Results:
- Demonstrated intimate connections between active matter and topological materials.
- Identified exotic topological phenomena unfeasible in passive systems.
- Discussed potential extension of band topology to nonlinear systems.
Conclusions:
- Active matter provides a unique platform for exploring topological phenomena.
- This field offers new realms beyond traditional conservative linear systems.
- The study highlights novel topological properties in nonequilibrium systems.
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