Identifying and Constructing Complex Magnon Band Topology.

Area of Science:

• Condensed Matter Physics
• Materials Science
• Quantum Chemistry

Background:

• Magnetically ordered materials host spin wave (magnon) excitations.
• Topologically protected magnon surface states offer potential for spintronics.
• Efficient identification of topological magnon bands is crucial for applications.

Purpose of the Study:

• To explore the diversity of topological magnon band structures.
• To provide methods for efficiently identifying topological magnon bands in materials.
• To adapt topological quantum chemistry for magnon band topology.

Main Methods:

• Adaptation of the topological quantum chemistry approach.
• Utilizing constraints from time reversal and crystalline symmetries.
• Application of decomposable elementary band representations for gapped topology identification.

Main Results:

• Demonstrated a method to identify topological magnon bands using symmetry.
• Showcased the identification of physically relevant models for gapped magnon band topology.
• Discussed inferring symmetry-enforced nodal topology from symmetry data.

Conclusions:

• The study provides a framework for identifying topological magnon band structures.
• This work facilitates the discovery of materials with desirable topological properties for spintronics.
• The adapted topological quantum chemistry approach offers new insights into magnon topology.