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Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice

Author

Listed:
  • Guangxiu Liu

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Maocai Pi

    (Chongqing University
    Chongqing University)

  • Long Zhou

    (Institute of Physics, Chinese Academy of Sciences)

  • Zhehong Liu

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Xudong Shen

    (Institute of Physics, Chinese Academy of Sciences
    Songshan Lake Materials Laboratory)

  • Xubin Ye

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Shijun Qin

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Xinrun Mi

    (Chongqing University
    Chongqing University)

  • Xue Chen

    (Chongqing University
    Chongqing University)

  • Lin Zhao

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Bowen Zhou

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Jia Guo

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Xiaohui Yu

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Yisheng Chai

    (Chongqing University
    Chongqing University)

  • Hongming Weng

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Songshan Lake Materials Laboratory)

  • Youwen Long

    (Institute of Physics, Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Songshan Lake Materials Laboratory)

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.

Suggested Citation

  • Guangxiu Liu & Maocai Pi & Long Zhou & Zhehong Liu & Xudong Shen & Xubin Ye & Shijun Qin & Xinrun Mi & Xue Chen & Lin Zhao & Bowen Zhou & Jia Guo & Xiaohui Yu & Yisheng Chai & Hongming Weng & Youwen L, 2022. "Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-29764-w
    DOI: 10.1038/s41467-022-29764-w
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    References listed on IDEAS

    as
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