Symmetry-protected topological magnons in three dimensional Kitaev materials

Abstract

Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling symmetry-protected topological nodal magnons. These materials are originally considered as strong candidates for the Kitaev quantum spin liquid due to the bond-dependent frustrating spin exchange interactions. As a concrete example, we consider the symmetry and topology of the magnons in the canted zig-zag ordered state in the hyperhoneycomb $\beta \text{-}\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$, which can be obtained by applying a magnetic field in the counter-rotating spiral state at zero field. It is shown that the magnetic glide symmetries and the non-Hermitian nature of the bosonic magnons lead to unique topological protection that is different from the case of the fermionic counterparts. We investigate how such topological magnons can be controlled by changing the symmetry of the underlying spin exchange interactions.

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Cited by in corpus (8)

• Topological Magnons: A Review
• Spin-Space Groups and Magnon Band Topology
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Kitaev magnetism through the prism of lithium iridate
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions