Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons

We investigate the role of disorder on the various topological magnonic phases present in deformed honeycomb ferromagnets. To this end, we introduce a bosonic Bott index to characterize the topology of magnon spectra in finite, disordered systems. The consistency between the Bott index and Chern num...

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Bibliographic Details
Published in:Physical review letters 2020-11, Vol.125 (21), p.217202-217202, Article 217202
Main Authors: Wang, X. S., Brataas, Arne, Troncoso, Roberto E.
Format: Article
Language:English
Subjects:
Electronic systems
Ferromagnetism
Magnons
Phase transitions
Robustness (mathematics)
Topology
Transport properties
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Summary:We investigate the role of disorder on the various topological magnonic phases present in deformed honeycomb ferromagnets. To this end, we introduce a bosonic Bott index to characterize the topology of magnon spectra in finite, disordered systems. The consistency between the Bott index and Chern number is numerically established in the clean limit. We demonstrate that topologically protected magnon edge states are robust to moderate disorder and, as anticipated, localized in the strong regime. We predict a disorder-driven topological phase transition, a magnonic analog of the "topological Anderson insulator" in electronic systems, where the disorder is responsible for the emergence of the nontrivial topology. Combining the results for the Bott index and transport properties, we show that bulk-boundary correspondence holds for disordered topological magnons. Our results open the door for research on topological magnonics as well as other bosonic excitations in finite and disordered systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.125.217202