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

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-or

SUBMITTER: Liu G 

PROVIDER: S-EPMC9061858 | biostudies-literature | 2022 May

REPOSITORIES: biostudies-literature