| TOPICAL REVIEW — Multiferroicity and multicaloric effects |
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Magnetoelectric topology: The rope weaving in parameter space |
| Ying Zhou(周颖), Ziwen Wang(王子文), Fan Wang(王凡), Haoshen Ye(叶浩燊), and Shuai Dong(董帅)† |
| Key Laboratory of Quantum Materials and Devices of Ministry of Education, School of Physics, Southeast University, Nanjing 211189, China |
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Abstract Topology, as a mathematical concept, has been introduced into condensed matter physics since the discovery of quantum Hall effect, which characterizes new physical scenario beyond the Landau theory. The topologically protected physical quantities, such as the dissipationless quantum transport of edge/surface states as well as magnetic/dipole quasi-particles like skyrmions/bimerons, have attracted great research enthusiasms in the past decades. In recent years, another kind of topology in condensed matter was revealed in the magnetoelectric parameter space of multiferroics, which deepens our understanding of magnetoelectric physics. This topical review summarizes recent advances in this area, involving three types of type-II multiferroics. With magnetism-induced ferroelectricity, topological behaviors can be manifested during the magnetoelectric switching processes driven by magnetic/electric fields, such as Roman-surface/Riemann-surface magnetoelectricity and magnetic crankshaft. These exotic topological magnetoelectric behaviors may be helpful to pursue energy-efficient and precise-control devices for spintronics and quantum computing.
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Received: 13 October 2025
Revised: 27 November 2025
Accepted manuscript online: 15 December 2025
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PACS:
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75.85.+t
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(Magnetoelectric effects, multiferroics)
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77.80.-e
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(Ferroelectricity and antiferroelectricity)
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75.50.-y
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(Studies of specific magnetic materials)
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| Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 12325401, 12274069, and 123B2053). We thank Profs. Yisheng Chai, Chenliang Lu, and Junting Zhang for their contributions to the original works reviewed here. |
Corresponding Authors:
Shuai Dong
E-mail: sdong@seu.edu.cn
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Cite this article:
Ying Zhou(周颖), Ziwen Wang(王子文), Fan Wang(王凡), Haoshen Ye(叶浩燊), and Shuai Dong(董帅) Magnetoelectric topology: The rope weaving in parameter space 2026 Chin. Phys. B 35 027501
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