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Topological Magnons with Nodal-Line and Triple-Point Degeneracies: Implications for Thermal Hall Effect in Pyrochlore Iridates

Kyusung Hwang, Nandini Trivedi, Mohit Randeria

2020Physical Review Letters45 citationsDOIOpen Access PDF

Abstract

We analyze the magnon excitations in pyrochlore iridates with all-in-all-out (AIAO) antiferromagnetic order, focusing on their topological features. We identify the magnetic point group symmetries that protect the nodal-line band crossings and triple-point degeneracies that dominate the Berry curvature. We find three distinct regimes of magnon band topology, as a function of the ratio of Dzyaloshinskii-Moriya interaction to the antiferromagnetic exchange. We show how the thermal Hall response provides a unique probe of the topological magnon band structure in AIAO systems.

Topics & Concepts

MagnonPhysicsPyrochloreAntiferromagnetismBerry connection and curvatureCondensed matter physicsHomogeneous spaceHall effectTopology (electrical circuits)Thermal Hall effectQuantum mechanicsMagnetic fieldFerromagnetismGeometryGeometric phaseMathematicsCombinatoricsPhase (matter)Advanced Condensed Matter PhysicsTopological Materials and PhenomenaQuantum many-body systems