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SYTO: Symposium Topology in Condensed Matter Physics

SYTO 1: Topology in Condensed Matter Physics

SYTO 1.2: Invited Talk

Wednesday, March 14, 2018, 10:00–10:30, H 0105

Topological Magnon MaterialsAlexander Mook1, Jürgen Henk1, and •Ingrid Mertig1, 21Martin-Luther-Universität Halle-Wittenberg, Halle, Germany — 2Max-Planck-Institut für Mikrostrukturphysik Halle, Halle, Germany

Topology has conquered the field of condensed matter physics with the discovery of the quantum Hall effect. Since then the zoo of topological materials is steadily increasing. In this talk, we demonstrate how to realize different topological phases with magnons: the magnon pendants to topological insulators as well as Weyl and nodal-line semimetals are presented.

Magnon bulk spectra are characterized by topological invariants, dictating special surface properties. The bulk bands of topological magnon insulators (TMIs) carry nonzero Chern numbers, causing topological magnon edge states [1]. Weyl semimetals possess zero-dimensional band degeneracies. They feature "magnon arcs" connecting the surface projections of Weyl points [2]. Magnon nodal-line semimetals exhibit one-dimensional band degeneracies, i. e., closed loops in reciprocal space. Surface projections of these nodal lines host "drumhead" surface states [3].

Similar to the electronic case, the topological properties cause transverse transport, that is, magnon Hall effects.
A. Mook et al., Phys. Rev. B 90, 024412 (2014);
A. Mook et al., Phys. Rev. Lett. 177, 157204 (2016);
A. Mook et al., Phys. Rev. B 95, 014418 (2017)

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