Weyl magnons in breathing pyrochlore antiferromagnets

Abstract

Frustrated quantum magnets not only provide exotic ground states and unusual magnetic structures, but also support unconventional excitations in many cases. Using a physically relevant spin model for a breathing pyrochlore lattice, we discuss the presence of topological linear band crossings of magnons in antiferromagnets. These are the analogs of Weyl fermions in electronic systems, which we dub Weyl magnons. The bulk Weyl magnon implies the presence of chiral magnon surface states forming arcs at finite energy. We argue that such antiferromagnets present a unique example in which Weyl points can be manipulated in situ in the laboratory by applied fields. We discuss their appearance specifically in the breathing pyrochlore lattice, and give some general discussion of conditions to find Weyl magnons and how they may be probed experimentally. Our work may inspire a re-examination of the magnetic excitations in many magnetically ordered systems.

To appear in Nature Communications. Update title and abstract. The footnotes are removed due to the editorial policy, but can be found in the early version

References in corpus (8)

• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Magnon Insulator in Insulating Ferromagnet
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Weyl spin liquids
• Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
• Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
• Novel Phase Transitions in the Breathing Pyrochlore Lattice: 7Li-NMR on LiInCr4O8 and LiGaCr4O8
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$

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