Topology in Collective Magnetization Dynamics.

Intro
Preface
Acknowledgments
Author biographies
Zhixiong Li
Yunshan Cao
Peng Yan
Symbols
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Abbreviations
Chapter 1 Introduction
1.1 Topological insulators
1.2 Topological semimetals
1.3 Collective excitations in magnets
References
Chapter 2 Topological band theory
2.1 Topological invariants
2.2 The Su-Schrieffer-Heeger model
2.3 The Haldane model
References
Chapter 3 Basics of magnons
3.1 Magnon dispersion relation
3.2 Magnon excitation
3.3 Magnon propagation and manipulation
3.4 Magnon detection
3.5 Magnonic devices
References
Chapter 4 Topological magnons
4.1 Magnon Hall effect
4.2 Topological magnon insulators
4.2.1 Collinear magnets
4.2.2 Noncollinear magnetic texture
4.3 Topological magnon semimetals
4.3.1 Dirac magnons
4.3.2 Weyl magnons
4.3.3 Magnon nodal-line semimetals
4.4 Topological magnon polarons
4.5 Higher-order topological magnons
4.6 Topological magnon devices
References
Chapter 5 Twisted magnons
5.1 Intrinsic dynamics of twisted magnons
5.1.1 Twisted magnons in cylindrical nanowires
5.1.2 Twisted magnons in nanodisks
5.2 Topological phases of twisted magnons
References
Chapter 6 Magnetic solitons
6.1 Structures, properties, and applications
6.1.1 Domain wall
6.1.2 Vortex
6.1.3 Bubble
6.1.4 Skyrmion
6.2 Collective dynamics of magnetic soliton crystals
References
Chapter 7 Topological phases in soliton crystals
7.1 Topological solitonic insulators
7.1.1 First-order topological insulating phases
7.1.2 Second-order topological insulating phases
7.1.3 Third-order topological insulating phases
7.2 Topological solitonic semimetals
References
Chapter 8 Conclusion and outlook
References.