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.

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

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Cited by in corpus (30)

• 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
• Quantum topological phase transitions in skyrmion crystals
• Interacting topological Dirac magnons
• Identifying, and constructing, complex magnon band topology
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Finite-size Topology
• Magnon Interference Tunneling Spectroscopy as a Probe of 2D Magnetism
• 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
• Spin excitations in the kagome-lattice metallic antiferromagnet Fe${}_{0.89}$Co${}_{0.11}$Sn
• 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
• 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
• Long-distance coupling of spin qubits via topological magnons
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet