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26 April 2024 |
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Article overview
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Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves | | Kei Yamamoto
; Guo Chuan Thiang
; Philipp Pirro
; Kyoung-Whan Kim
; Karin Everschor-Sitte
; Eiji Saitoh
; | | Date: |
20 May 2019 | | Abstract: | 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. | | Source: | arXiv, 1905.7909 | | Services: | Forum | Review | PDF | Favorites | |
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