Observation of the Magnon Hall Effect

Abstract

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and potentially show the Hall effect without resorting to the Lorentz force. We report experimental evidence for the anomalous thermal Hall effect caused by spin excitations (magnons) in an insulating ferromagnet with a pyrochlore lattice structure. Our theoretical analysis indicates that the propagation of the spin wave is influenced by the Dzyaloshinskii-Moriya spin-orbit interaction, which plays the role of the vector potential as in the intrinsic anomalous Hall effect in metallic ferromagnets.

12 pages, 4 figures. Submitted to Science on February 12 and published by Science on July 16, 2010 (10.1126/science.1188260). Supporting online material available at http://www.sciencemag.org/cgi/content/full/sci;329/5989/297/DC1

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• Finite-size Topology
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• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
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• Tuning bulk topological magnon properties with light-induced magnons
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• Synthesizing and Controlling Helical Indirect Exchange Interactions at Nonequilibrium
• Functionalized high-speed magnon-polaritons resulting from the magnetic antenna effect
• Dipolar spin-waves and tunable band gap at the Dirac points in the 2D magnet ErBr3
• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
• Enhanced thermal Hall conductivity below 1 Kelvin in the pyrochlore magnet Yb${}_2$Ti${}_2$O${}_7$
• Quantized thermal Hall conductance from edge current calculations in lattice models
• Contrasting magnetothermal conductivity in sibling Co-based honeycomb-lattice antiferromagnets
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Topological switching in bilayer magnons via electrical control
• Transversal transport of magnons in a modified Lieb lattice
• Determining the range of magnetic interactions from the relations between magnon eigenvalues at high-symmetry k points
• Long-lived Zone-boundary Magnons in an Antiferromagnet
• Photo-induced Floquet Weyl magnons in noncollinear antiferromagnets
• Electric polarization induced by magnons and magnon Nernst effects
• Interfacial Dzyaloshinskii-Moriya interaction in nonmagnetic/noncollinear-antiferromagnetic bilayers
• Topological magnonic dislocations modes
• Unusual spin pseudogap behavior in the spin web lattice Cu${}_3$TeO${}_6$ probed by ${}^{125}$Te nuclear magnetic resonance
• Upper branch thermal Hall effect in quantum paramagnets
• Topological transitions of spin-excitations in insulating chiral antiferromagnets
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• Electrical Seebeck-Contrast Observation of Magnon Hall Effect in Topological Ferromagnet Lu${}_2$V${}_2$O${}_7$/Heavy Metal Heterostructures
• Sample Shape and Boundary Dependence of Measured Transverse Thermal Properties
• Topological Aspects of Antiferromagnets
• Divergent phonon angular momentum driven by temperature and strain
• Many-body spin Hall effect with space-inversion symmetry
• Pinch points and half moons encode Berry curvature
• Geometric phase and a nonreciprocal spin wave circular polarizer
• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
• Thermal Hall effect and gauge-field picture of magnons in antiferromagnetic skyrmion crystals
• Flavor Nernst effects in quantum paramagnets
• High-throughput search for topological magnon materials
• Spontaneous chirality selection and nonreciprocal spin wave in breathing-kagome antiferromagnets at zero field
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Extrinsic contribution to bosonic thermal Hall transport
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• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Magnon topology driven by altermagnetism
• Nonreciprocal magnons in layered antiferromagnets VPX3(X =S,Se,Te)
• Anomalous Hall effect driven by dipolar spin waves in uniform ferromagnets
• Thermal Hall conductivity of semimetallic graphite dominated by ambipolar phonon drag
• Dirac Magnon in Honeycomb Lattice Magnet NiTiO3
• Low-temperature specific heat and heat transport of Tb${}_2$Ti${}_{2-x}$Zr${}_x$O${}_7$ single crystals
• Reconfigurable topological spin wave beamsplitters and interferometers
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Topological phases of electrons induced by electron-magnon interactions
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• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Laser-Irradiated CrI${}_3$: When Chiral Photons Meet Topological Magnons
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• The spin Hall effect
• Magnon Hall effect and anisotropic thermal transport in NiFe and YIG ferromagnets
• Quantum geometry, localization, and topological bounds of spin fluctuations
• Topological transverse spin transport in a canted antiferromagnet/heavy metal heterostructure
• Thermal transport properties and some hydrodynamic-like behavior in 3D topological semimetal ZrTe5
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Synthesis and characterization of the novel breathing pyrochlore compound Ba3Tm2Zn5O11
• Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
• Itinerant and topological excitations in a honeycomb spiral spin liquid candidate
• Amplifying the antiferromagnetic spin Seebeck effect through topological magnons
• Intrinsic Thermal Hall Effect in Mott Insulators
• Nonreciprocal magnon excitations by the Dzyaloshinskii-Moriya interaction on the basis of bond magnetic toroidal multipoles
• Scattering Theory of Chiral Edge Modes in Topological Magnon Insulators
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Effects of dilution in a 2D topological magnon insulator
• Detection of Geometric Phases in Spin Waves using Nitrogen-Vacancy Centers
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Spin interactions and topological magnonics in chromium trihalide CrClBrI
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Spin wave interactions in the pyrochlore Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet
• A majority gate for two-dimensional ferromagnets lacking inversion symmetry
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Topological edge states in dipolar zig-zag stripes
• Temperature dependence of spin currents in one- and three-dimensional insulators
• Topological hard-core bosons on the honeycomb lattice
• Tunable multi-magnon Floquet topological edge states
• Dirac magnons pairing via pumping
• Topological properties of multilayer magnon insulators
• Electrotoroidicity: New Paradigm for Transverse Electromagnetic Responses
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Ultra-high frequency magnetic resonance through strain-spin coupling in perpendicular magnetic multi-layers
• Ferroelectric Switchable Topological Magnon Hall Effect in Type-I Multiferroics
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Transport of Dirac magnons driven by gauge fields
• Competitive Orders in Altermagnetic Chiral Magnons