Topological Magnons: A Review

Abstract

At sufficiently low temperatures magnetic materials often enter a correlated phase hosting collective, coherent magnetic excitations such as magnons or triplons. Drawing on the enormous progress on topological materials of the last few years, recent research has led to new insights into the geometry and topology of these magnetic excitations. Berry phases associated to magnetic dynamics can lead to observable consequences in heat and spin transport while analogues of topological insulators and semimetals can arise within magnon band structures from natural magnetic couplings. Magnetic excitations offer a platform to explore the interplay of magnetic symmetries and topology, to drive topological transitions using magnetic fields. examine the effects of interactions on topological bands and to generate topologically protected spin currents at interfaces. In this review, we survey progress on all these topics, highlighting aspects of topological matter that are unique to magnon systems and the avenues yet to be fully investigated.

arXiv comment12 pages, 3 figures, to appear in Annual Review of Condensed Matter Physics

References in corpus (112)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Exceptional Topology of Non-Hermitian Systems
• Magnetic 2D materials and heterostructures
• Topological Materials: Weyl Semimetals
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Observation of the Magnon Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Atomically Thin CrCl3: An in-Plane Layered Antiferromagnetic Insulator
• Topological Magnon Insulator in Insulating Ferromagnet
• Weyl Metals
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• Spontaneous Magnon Decays
• The thermal Hall effect of spin excitations in a Kagome magnet
• Rotational motion of magnon and thermal Hall effect
• A first theoretical realization of honeycomb topological magnon insulator
• Magnon spin Nernst effect in antiferromagnets
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Weyl magnons in breathing pyrochlore antiferromagnets
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Chiral spin-wave edge modes in dipolar magnetic thin films
• Topological Magnons in Kitaev Magnets at High Fields
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Hall effect of triplons in a dimerized quantum magnet
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Magnon Dirac materials
• 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
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Dirac and nodal line magnons in three-dimensional antiferromagnets
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Magnonic Weyl semimetal in pyrochlore ferromagnets
• Topological insulators and semimetals in classical magnetic systems
• Topological spin excitations observed in a three-dimensional antiferromagnet
• 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
• Large Thermal Hall Effect in $\alpha$-RuCl${}_3$: Evidence for Heat Transport by Kitaev-Heisenberg Paramagnons
• Non-Hermitian topology of spontaneous magnon decay
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Local Probes for Charge-Neutral Edge States in Two-Dimensional Quantum Magnets
• Order-by-Disorder from Bond-Dependent Exchange and Intensity Signature of Nodal Quasiparticles in a Honeycomb Cobaltate
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Berry phase of magnons in textured ferromagnets
• Chiral Phonon Transport Induced by Topological Magnons
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields
• Bulk and edge spin transport in topological magnon insulators
• High Resolution Study of Spin Excitations in the Shastry-Sutherland Singlet Ground State of SrCu2(BO3)2
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Topological Magnetoelastic Excitations in Non-Collinear Antiferromagnets
• Topological magnon bands in a room temperature Kagome magnet
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Backscattering immunity of dipole-exchange magnetostatic surface spin waves
• Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
• Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac Magnons in Noncollinear Antiferromagnets
• Topological magnon amplification
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Magnon topology and thermal Hall effect in trimerized triangular lattice antiferromagnet
• Floquet Topological Magnons
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Weyl magnons in pyrochlore antiferromagnets with all-in-all-out orders
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Dirac Magnon Nodal Loops in Quasi-2D Quantum Magnets
• Topologically non-trivial magnon bands in artificial square spin ices subject to Dzyaloshinskii-Moriya interaction
• 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
• Three-dimensional topological magnon systems
• Topological magnon bands for magnonics
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Topological magnetic excitations
• Squaring the fermion: The threefold way and the fate of zero modes
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves
• Spin Hall and Nernst effects of Weyl magnons
• Magnetic transitions in the topological magnon insulator Cu(1,3-bdc)
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Chiral topological insulator of magnons
• Magnonic Weyl states in Cu2OSeO3
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Nontrivial Triplon Topology and Triplon Liquid in Kitaev-Heisenberg-type Excitonic Magnets
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Magnon Landau levels and emergent supersymmetry in strained antiferromagnets
• Triplon band splitting and topologically protected edge states in the dimerized antiferromagnet
• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
• Evolution of magnetic Dirac bosons in a honeycomb lattice
• Topological Valley Transport of Gapped Dirac Magnons in Bilayer Ferromagnetic Insulators
• Laser control of magnonic topological phases in antiferromagnets
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Weyl and nodal ring magnons in three-dimensional honeycomb lattices
• Pumping of magnons in a Dzyaloshinskii-Moriya ferromagnet
• Weyl-triplons in SrCu2(BO3)2
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Dirac cones and mass terms in bosonic spectra
• Dirac Hamiltonians for bosonic spectra
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Multipolar edge states in the breathing kagome model

Cited by in corpus (31)

• Non-Hermitian topological phenomena: A review
• Perspective: non-Hermitian physics in magnetic systems
• Strongly coupled magnon-plasmon polaritons in graphene- 2D ferromagnet heterostructures
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Thermal Evolution of Dirac Magnons in the Honeycomb Ferromagnet CrBr${}_3$
• Gapless Dirac magnons in CrCl${}_3$
• Topological magnons driven by the Dzyaloshinskii-Moriya interaction in the centrosymmetric ferromagnet Mn${}_5$Ge${}_3$
• Magnon corner states in twisted bilayer honeycomb magnets
• Interacting topological Dirac magnons
• Quantum topological phase transitions in skyrmion crystals
• Identifying, and constructing, complex magnon band topology
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Finite-size Topology
• Magnon Interference Tunneling Spectroscopy as a Probe of 2D Magnetism
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Ring-Exchange Interaction Effects on Magnons in Dirac Magnet CoTiO${}_3$
• Detection of phonon helicity in nonchiral crystals with Raman scattering
• Superexchange and spin-orbit coupling in monolayer and bilayer chromium trihalides
• Time-dependent strain-tuning topological magnon phase transition
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Spin excitations in the kagome-lattice metallic antiferromagnet Fe${}_{0.89}$Co${}_{0.11}$Sn
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Spin-Reorientation-Driven Linear Magnetoelectric Effect in Topological Antiferromagnet Cu${}_3$TeO${}_6$
• Electrical Seebeck-Contrast Observation of Magnon Hall Effect in Topological Ferromagnet Lu${}_2$V${}_2$O${}_7$/Heavy Metal Heterostructures
• Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
• Entanglement-enabled symmetry-breaking orders
• Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet
• Long-distance coupling of spin qubits via topological magnons