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- Title
Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice.
- Authors
Liu, Guangxiu; Pi, Maocai; Zhou, Long; Liu, Zhehong; Shen, Xudong; Ye, Xubin; Qin, Shijun; Mi, Xinrun; Chen, Xue; Zhao, Lin; Zhou, Bowen; Guo, Jia; Yu, Xiaohui; Chai, Yisheng; Weng, Hongming; Long, Youwen
- Abstract
Topology, an important branch of mathematics, is an ideal theoretical tool to describe topological states and phase transitions. Many topological concepts have found their physical entities in real or reciprocal spaces identified by topological invariants, which are usually defined on orientable surfaces, such as torus and sphere. It is natural to investigate the possible physical realization of more intriguing non-orientable surfaces. Herein, we show that the set of spin-induced ferroelectric polarizations in cubic perovskite oxides AMn3Cr4O12 (A = La and Tb) reside on the topological Roman surface—a non-orientable two-dimensional manifold formed by sewing a Möbius strip edge to that of a disc. The induced polarization may travel in a loop along the non-orientable Möbius strip or orientable disc, depending on the spin evolution as controlled by an external magnetic field. Experimentally, the periodicity of polarization can be the same or twice that of the rotating magnetic field, which is consistent with the orientability of the disc and the Möbius strip, respectively. This path-dependent topological magnetoelectric effect presents a way to detect the global geometry of a surface and deepens our understanding of topology in both mathematics and physics. A non-orientable surface can mirror reflecting the man travelling on it. Realizing such topological object is fascinating. Here, the authors discover that antiferromagnetic-induced polarization in a solid can realize a non-orientable Roman surface.
- Subjects
MAGNETOELECTRIC effect; GEOMETRIC surfaces; MATHEMATICAL physics; INDUCED polarization; TOPOLOGICAL spaces; SURFACE geometry; SPIN-orbit interactions
- Publication
Nature Communications, 2022, Vol 13, Issue 1, p1
- ISSN
2041-1723
- Publication type
Article
- DOI
10.1038/s41467-022-29764-w