Topological Phases in Magnonics

Abstract

Magnonics or magnon spintronics is an emerging field focusing on generating, detecting, and manipulating magnons. As charge-neutral quasi-particles, magnons are promising information carriers because of their low energy dissipation and long coherence length. In the past decade, topological phases in magnonics have attracted intensive attention due to their fundamental importance in condensed-matter physics and potential applications of spintronic devices. In this review, we mainly focus on recent progress in topological magnonics, such as the Hall effect of magnons, magnon Chern insulators, topological magnon semimetals, etc. In addition, the evidence supporting topological phases in magnonics and candidate materials are also discussed and summarized. The aim of this review is to provide readers with a comprehensive and systematic understanding of the recent developments in topological magnonics.

arXiv comment17 pages, 12 figures

References in corpus (174)

• Topological Insulators
• Topological insulators and superconductors
• Spintronics: Fundamentals and applications
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Berry Phase Effects on Electronic Properties
• Skyrmion Lattice in a Chiral Magnet
• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Topological Photonics
• Topological Field Theory of Time-Reversal Invariant Insulators
• Spin Hall effect
• Classification of topological quantum matter with symmetries
• Antiferromagnetic spintronics
• Antiferromagnetic spintronics
• Spin-orbit interactions of light
• New Perspectives for Rashba Spin-Orbit Coupling
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Quantized Electric Multipole Insulators
• Topological Materials: Weyl Semimetals
• Dirac semimetal in three dimensions
• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Higher-Order Topological Insulators
• Topological superconductors: a review
• Colloquium: Topological Band Theory
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Hall Effect of Light
• Topological orders and Edge excitations in FQH states
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Topolectrical circuit realization of topological corner modes
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Quantum Orders and Symmetric Spin Liquids
• The building blocks of magnonics
• Acoustic higher-order topological insulator on a Kagome lattice
• Long distance transport of magnon spin information in a magnetic insulator at room temperature
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Observation of the Magnon Hall Effect
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Electrically controlled long-distance spin transport through an antiferromagnetic insulator
• Linear spin wave theory for single-Q incommensurate magnetic structures
• Theory of Thermal Hall Effect in Quantum Magnets
• Topological protection of photonic mid-gap cavity modes
• Photonic quadrupole topological phases
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Roadmap on Spin-Wave Computing
• Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
• Corner states of light in photonic waveguides
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Elastic higher-order topological insulator with topologically protected corner states
• Topological Exciton Bands in Moiré Heterojunctions
• Topological Magnon Insulator in Insulating Ferromagnet
• Topological Sound
• Acoustic realization of quadrupole topological insulators
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• The thermal Hall effect of spin excitations in a Kagome magnet
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Rotational motion of magnon and thermal Hall effect
• Magnon-skyrmion scattering in chiral magnets
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• A first theoretical realization of honeycomb topological magnon insulator
• Magnon spin Nernst effect in antiferromagnets
• Weyl magnons in breathing pyrochlore antiferromagnets
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Spin wave nonreciprocity for logic device applications
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Reconfigurable Training and Reservoir Computing in an Artificial Spin-Vortex Ice via Spin-Wave Fingerprinting
• Topological surface states in nodal superconductors
• Topological Magnons in Kitaev Magnets at High Fields
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Magnonics: Experiment to Prove the Concept
• Magnon Dirac materials
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Magnonic topological insulators in antiferromagnets
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Topological spin waves in the atomic-scale magnetic skyrmion crystal
• The Spin Nernst effect in Tungsten
• Twist engineering of the two-dimensional magnetism in double bilayer chromium triiodide homostructures
• Evidence of Higher Order Topology in Multilayer WTe${}_2$ from Josephson Coupling through Anisotropic Hinge States
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Magnetic texture-induced thermal Hall effects
• Snell's Law for Spin Waves
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Magnonic Weyl semimetal in pyrochlore ferromagnets
• Stacking Domain Wall Magnons in Twisted van der Waals Magnets
• Topological insulators and semimetals in classical magnetic systems
• Topological spin excitations observed in a three-dimensional antiferromagnet
• Topological Magnon-Phonon Hybrid Excitations in Two-Dimensional Ferromagnets with Tunable Chern Numbers
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Discovery of coexisting Dirac and triply degenerate magnons in a three-dimensional antiferromagnet
• Tunable Magnonic Thermal Hall Effect in Skyrmion Crystal Phases of Ferrimagnets
• Non-Hermitian topology of spontaneous magnon decay
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
• Anomalous Thermal Hall Effect in an Insulating van der Waals Magnet VI3
• Higher-order Dirac sonic crystals
• SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
• Evidence for Higher order topology in Bi and Bi${}_{0.92}$Sb${}_{0.08}$
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• Higher-order topological phases in a spring-mass model on a breathing kagome lattice
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Exciton band topology in spontaneous quantum anomalous Hall insulators: applications to twisted bilayer graphene
• Spin Rotation Technique for Non-Collinear Magnetic Systems: Application to the Generalized Villain Model
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Topological magnon band structure of emergent Landau levels in a skyrmion lattice
• Spin wave dynamics and the determination of intrinsic Gilbert damping in locally-excited Permalloy thin films
• Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
• Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac Magnons in Noncollinear Antiferromagnets
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Moiré magnons in twisted bilayer magnets with collinear order
• First and Second Order Topological Phases on Ferromagnetic Breathing Kagome Lattice
• Topologically non-trivial magnon bands in artificial square spin ices subject to Dzyaloshinskii-Moriya interaction
• Noncollinear Antiferromagnetic Haldane Magnon Insulator
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• Three-dimensional topological magnon systems
• Realization of Surface-Obstructed Topological Insulators
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Topological Thermal Hall Effect of Magnons in Magnetic Skyrmion Lattice
• Spin Hall and Nernst effects of Weyl magnons
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Spin Nernst effect in the Paramagnetic Regime of An Antiferromagnetic Insulator
• Magnetostatic wave analog of integer quantum Hall state in patterned magnetic films
• Magnonic Weyl states in Cu2OSeO3
• Chiral topological insulator of magnons
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Tunable Magnonic Chern Bands and Chiral Spin Currents in Magnetic Multilayers
• Magnon corner states in twisted bilayer honeycomb magnets
• Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
• Laser control of magnonic topological phases in antiferromagnets
• Unconventional Thermal Magnon Hall Effect in a Ferromagnetic Topological Insulator
• Visualization of moiré magnons in monolayer ferromagnet
• Higher-order Topological Phases of Magnons in van der Waals Honeycomb Ferromagnets
• From frustrated magnetism to spontaneous Chern insulators
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Thermal Hall responses in frustrated honeycomb spin systems
• Insights on magnon topology and valley-polarization in 2D bilayer quantum magnets
• Tunable large spin Nernst effect in a two-dimensional magnetic bilayer
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Chiral phase transition and thermal Hall effect in an anisotropic spin model on the kagome lattice
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Thermal Hall Effect of Chiral Spin Fluctuations
• Magnon edge states in hardcore-Bose-Hubbard model
• Theory of the Little-Parks effect in spin-triplet superconductors

Cited by in corpus (21)

• Tunable topological magnon-polaron states and anomalous Hall phenomena in two-dimensional ferromagnetic insulators
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Robustness of topological magnons in disordered arrays of skyrmions
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Higher-order Topological States in Chiral Split Magnons of Honeycomb Altermagnets
• Chiral magnon-polaron edge states in Heisenberg-Kitaev magnets
• Topological magnon-polaron transport in a bilayer van der Waals magnet
• Momentum-space theory for topological magnons in 2D ferromagnetic skyrmion lattices
• Topological magnonic dislocations modes
• Magnetic Moiré Systems: a review
• Tunable magnon band topology and magnon orbital Nernst effect in noncollinear antiferromagnets
• Near room-temperature ferromagnetism from double-exchange in the van der Waals material CrGeTe${}_3$: evidence from optical conductivity under pressure
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• Quantum geometry, localization, and topological bounds of spin fluctuations
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Transport of Dirac magnons driven by gauge fields
• Impact of the honeycomb spin-lattice on topological magnons and edge states in ferromagnetic 2D skyrmion crystals
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Tunable multi-magnon Floquet topological edge states