Chiral Hinge Magnons in Second-Order Topological Magnon Insulators

Abstract

When interacting spins in condensed matter order ferromagnetically, their ground state wave function is topologically trivial. Nonetheless, in two dimensions, the ferromagnetic state can support spin excitations with nontrivial topology, an exotic state known as topological magnon insulator (TMI). Here, we theoretically unveil and numerically confirm a novel ferromagnetic state in three dimensions dubbed second-order TMI, whose hallmarks are excitations at its hinges, where facets intersect. Since ferromagnetism naturally comes with broken time-reversal symmetry, the hinge magnons are chiral, rendering backscattering impossible. Hence, they trace out a three-dimensional path about the sample unimpeded by defects and are topologically protected by the spectral gap. They are remarkably robust against disorder and simultaneously highly tunable by atomic-level engineering of the sample termination. Our findings empower magnonics with the tools of higher-order topology, a promising route to combine low-energy information transfer free of Joule heating with three-dimensional vertical integration.

arXiv comment11 pages, 6 figures

References in corpus (76)

• The electronic properties of graphene
• Van der Waals heterostructures
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Topological Insulators with Inversion Symmetry
• Quantized Electric Multipole Insulators
• Magnetic 2D materials and heterostructures
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Electrical Control of 2D Magnetism in Bilayer CrI3
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-Order Topology in Bismuth
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Robust Intrinsic Ferromagnetism and Half Semiconductivity in Stable Two-Dimensional Single-Layer Chromium Trihalides
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Direct observation of van der Waals stacking dependent interlayer magnetism
• Theory of Thermal Hall Effect in Quantum Magnets
• Inversion Symmetric Topological Insulators
• Probing magnetism in 2D materials at the nanoscale with single spin microscopy
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological chiral magnonic edge mode in a magnonic crystal
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Topological Magnon Insulator in Insulating Ferromagnet
• Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI${}_3$ and CrGeTe${}_3$ monolayers
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Very large Dzyaloshinskii-Moriya interaction in two-dimensional Janus manganese dichalcogenides and its application to realize skyrmion states
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• Spontaneous Magnon Decays
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Magnetization transport and quantized spin conductance
• A first theoretical realization of honeycomb topological magnon insulator
• Magnetic Skyrmion State in Janus Monolayers of Chromium Trihalides Cr(I,X)3
• Weyl magnons in breathing pyrochlore antiferromagnets
• Fundamental Spin Interactions Underlying the Magnetic Anisotropy in the Kitaev Ferromagnet CrI${}_3$
• Chiral spin-wave edge modes in dipolar magnetic thin films
• An Introduction to Topological Insulators
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
• Intrinsic skyrmions in monolayer Janus magnets
• Rotation Anomaly and Topological Crystalline Insulators
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Dirac magnons in honeycomb ferromagnets
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Magnonic topological insulators in antiferromagnets
• Topological spin waves in the atomic-scale magnetic skyrmion crystal
• Observation of topological magnon insulator states in a superconducting circuit
• Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
• Magnetic texture-induced thermal Hall effects
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Interplay between spin proximity effect and charge-dependent exciton dynamics in MoSe${}_2$ / CrBr${}_3$ van der Waals heterostructures
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Interaction-stabilized topological magnon insulator in ferromagnets
• Tunable Magnonic Thermal Hall Effect in Skyrmion Crystal Phases of Ferrimagnets
• Unified understanding of symmetry indicators for all internal symmetry classes
• Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• Topological magnonics in the two-dimensional van der Waals magnet CrI3
• Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
• Higher-order topological solitonic insulators
• Inversion-symmetry protected chiral hinge states in stacks of doped quantum Hall layers
• Magnetic exchange interactions in monolayer CrI${}_3$ from many-body wavefunction calculations
• Magnon valley Hall effect in CrI3-based vdW heterostructures
• 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
• Coupled-layer description of topological crystalline insulators
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Theory of magnetism in the van der Waals magnet CrI3
• Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators
• Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves
• Spin Hall and Nernst effects of Weyl magnons
• Magnetostatic wave analog of integer quantum Hall state in patterned magnetic films
• Hybrid Architecture for Engineering Magnonic Quantum Networks
• Designing large arrays of interacting spin-torque nano-oscillators for microwave information processing

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• Topological Magnons: A Review
• 3D hinge transport in acoustic higher-order topological insulators
• Topological Phases in Magnonics
• Magnon corner states in twisted bilayer honeycomb magnets
• Laser-controlled real- and reciprocal-space topology in multiferroic insulators
• Higher-order Topological Phases of Magnons in van der Waals Honeycomb Ferromagnets
• Evidence of Magnon-Mediated Orbital Magnetism in a Quasi-2D Topological Magnon Insulator
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Temperature-Induced Magnonic Chern Insulator in Collinear Antiferromagnets
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• Fractional second-order topological insulator from a three-dimensional coupled-wires construction
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
• Higher-order topology in twisted multilayer systems: a review
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Tuning bulk topological magnon properties with light-induced magnons
• Majorana corner states in square and Kagome quantum spin liquids
• Magnetic Moiré Systems: a review
• Scattering Theory of Chiral Edge Modes in Topological Magnon Insulators
• Long-distance coupling of spin qubits via topological magnons
• Three-dimensional higher-order topological insulator protected by cubic symmetry
• Topological properties of multilayer magnon insulators