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Topological Characterization of Classical Waves: The Topological Origin of Magnetostatic Surface Spin Waves

机译:古典波的拓扑表征:静磁表面旋转波的拓扑起源

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摘要

We propose a topological characterization of Hamiltonians describing classical waves. Applying it to the magnetostatic surface spin waves that are important in spintronics applications, we settle the speculation over their topological origin. For a class of classical systems that includes spin waves driven by dipole-dipole interactions, we show that the topology is characterized by vortex lines in the Brillouin zone in such a way that the symplectic structure of Hamiltonian mechanics plays an essential role. We define winding numbers around these vortex lines and identify them to be the bulk topological invariants for a class of semimetals. Exploiting the bulk-edge correspondence appropriately reformulated for these classical waves, we predict that surface modes appear but not in a gap of the bulk frequency spectrum. This feature, consistent with the magnetostatic surface spin waves, indicates a broader realm of topological phases of matter beyond spectrally gapped ones.
机译:我们提出了描述古典波浪的哈密顿人的拓扑表征。将其施加到炼金石应用中很重要的磁化表面旋转波,我们通过拓扑起源来解决猜测。对于一类包括由偶极偶极交互驱动的旋转波的古典系统,我们表明拓扑结构的特征在于布里渊区的涡旋线,使得哈密顿力学的辛结构起着重要作用。我们在这些涡旋线上定义绕组数量,并将其识别为一类半塑料的散装拓扑不变。利用对这些古典波的适当重新设计的散装边缘对应,我们预测表面模式出现但不在批量频谱的间隙中。该特征与磁化表面自旋波一致,表示超越谱门的物质拓扑相位阶段的更宽领域。

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  • 来源
    《Physical review letters》 |2019年第21期|217201.1-217201.5|共5页
  • 作者单位

    Japan Atom Energy Agcy Adv Sci Res Ctr Tokai Ibaraki 3191195 Japan|Johannes Gutenberg Univ Mainz Inst Phys D-55128 Mainz Germany;

    Univ Adelaide Sch Math Sci Adelaide SA 5000 Australia;

    Tech Univ Kaiserslautern Fachbereich Phys D-67663 Kaiserslautern Germany|Tech Univ Kaiserslautern Landesforschungszentrum OPTIMAS D-67663 Kaiserslautern Germany;

    Johannes Gutenberg Univ Mainz Inst Phys D-55128 Mainz Germany|Korea Inst Sci & Technol Ctr Spintron Seoul 02792 South Korea;

    Johannes Gutenberg Univ Mainz Inst Phys D-55128 Mainz Germany;

    Japan Atom Energy Agcy Adv Sci Res Ctr Tokai Ibaraki 3191195 Japan|Univ Tokyo Dept Appl Phys Tokyo 1138656 Japan|Tohoku Univ Inst Mat Res Sendai Miyagi 9808577 Japan;

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