Topological Dynamics: Emergent Functions in Quantum Matter

Topology and dynamics are central organizing principles in the behavior of quantum materials. This focus group unites physicists, chemists, and materials scientists across the MPGC to explore how topological properties and dynamic processes give rise to novel quantum functionalities. The focus group’s research targets fundamental understanding and technological control of spin, orbital, and lattice degrees of freedom enabling advances in spintronics, orbitronics, and ultrafast materials science.

Key areas include the design and characterization of magnetic and electronic topological materials, the manipulation of emergent quasiparticles and the exploration of novel torque phenomena and transport effects. These studies are underpinned by strong theoretical efforts in quantum dynamics, noncommutative geometry, and machine learning for materials science, alongside advanced spectroscopy, magnetotransport, and device-level characterization. Through its collaborative and interdisciplinary approach, the group seeks to engineer quantum states for next-generation information and sensing technologies.

Research Scope

  • Topological transport & spin textures: skyrmions, antiferromagnetic and altermagnetic dynamics

  • Orbitronics & torque effects: orbital Hall effect, long-range torques, symmetry-controlled orbital responses

  • Quantum materials: van der Waals heterostructures, strongly correlated materials, quantum magnets

  • Magnetotransport & dynamics: anomalous Hall effect, magnetoresistance effects, spin torques

  • Computational methods: K-theory, C*-algebras, machine learning in materials research

  • Ultrafast and nanoscale control: THz spintronics, optically driven switching

  • Using unconventional computing and machine learning approaches to discovery of quantum materials

Broader Impact and Transregional Collaboration

The Topological Dynamics focus group plays a key role in the interdisciplinary environment of CRC/TRR 173 Spin+X by connecting expertise in quantum materials, spin physics, and dynamic phenomena across institutions in Mainz and Kaiserslautern. Through its strong emphasis on emergent spin, orbital, and lattice dynamics, the focus group contributes directly to the development of Advanced Spin Engineering concepts at the core of the CRC/TRR. In addition, the Topological Dynamics focus group is also connected to CRC/TRR 288 ELASTO-Q-MAT, which investigates how strong coupling between elastic properties and electronic quantum phases can be harnessed to control and tune quantum materials. This CRC also represents a collaboration within the RMU alliance, specifically with the Goethe University Frankfurt. Overall, the Topological Dynamics focus group of the MPGC is instrumental in supporting these two major transregional collaborative research initiatives. Further information can be found on the official homepages of Spin+X and ELASTO-Q-MAT.

Focus Group Leader

Image of Prof. Dr. Mathias Kläui

Prof. Dr. Mathias Kläui

Professor of Physics, Johannes Gutenberg University Mainz

Other Focus Group Members

Prof. Dr. Dmitry Budker, Professor of Physics, JGU Mainz
Prof. Dr. Gábor Csányi, Director, MPIP
Prof. Dr. Katja Heinze, Professor of Chemistry, JGU Mainz
PD Dr. Timo Kuschel, Private Lecturer, JGU Mainz
Jun.-Prof. Dr. Michael te Vrugt, Junior Professor of Physics, JGU Mainz
Prof. Dr. Jure Demsar, Professor of Physics, JGU Mainz
Prof. Dr. Gerhard Jakob, Professor of Physics, JGU Mainz
Prof. Dr. Yuriy Mokrousov, Professor of Physics, JGU Mainz
Prof. Dr. Eva Rentschler, Professor of Chemistry, JGU Mainz
Jun.-Prof. Dr. Angela Wittmann, Junior Professor of Physics, JGU Mainz
Prof. Dr. Mischa Bonn, Director, MPIP
Go to Editor View