Magnon corner states in twisted bilayer honeycomb magnets
arXiv:2202.12151 · doi:10.1103/PhysRevB.107.L020404
Abstract
Search for higher-order topological insulators, characterized by topologically protected gapless boundary states of codimension higher than one, in bosonic systems has attracted growing interest. Here, we establish twisted bilayer honeycomb magnets as a new platform for hosting second-order topological magnon insulators (SOTMIs) without fine-tuning. We employ a simple, minimal Heisenberg spin model to describe misaligned bilayer sheets of honeycomb ferromagnetic magnets with a large commensurate twist angle. We found that the higher-order topology in this bilayer system shows a significant dependence on the interlayer exchange coupling. The SOTMI, featuring topologically protected magnon corner states, appears for ferromagnetic interlayer couplings, while the twisted bilayer exhibits a nodal phase in the case of antiferromagnetic interlayer coupling.
arXiv commentAccepted for publication as a Letter in Phys. Rev. B
References in corpus (86)
- Topological Insulators
- Topological insulators and superconductors
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Van der Waals density functionals applied to solids
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Quantized Electric Multipole Insulators
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Higher-Order Topological Insulators
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Colloquium: Topological Band Theory
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
- -dimensional edge states of rotation symmetry protected topological states
- Reflection symmetric second-order topological insulators and superconductors
- Zoo of quantum-topological phases of matter
- Origin of Magic Angles in Twisted Bilayer Graphene
- Observation of the Magnon Hall Effect
- Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
- Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
- Theory of Thermal Hall Effect in Quantum Magnets
- Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
- Untying the insulating and superconducting orders in magic-angle graphene
- All "Magic Angles" Are "Stable" Topological
- Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
- Cascade of electronic transitions in magic-angle twisted bilayer graphene
- Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
- Topological chiral magnonic edge mode in a magnonic crystal
- Fragile Topology and Wannier Obstructions
- Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
- Topological Magnon Insulator in Insulating Ferromagnet
- Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI and CrGeTe monolayers
- Topological spin excitations in honeycomb ferromagnet CrI
- The thermal Hall effect of spin excitations in a Kagome magnet
- Higher-Order Topological Insulator in Twisted Bilayer Graphene
- Topological Magnons: A Review
- A first theoretical realization of honeycomb topological magnon insulator
- Higher-Order Topological Insulators in Quasicrystals
- Magnetic Skyrmion State in Janus Monolayers of Chromium Trihalides Cr(I,X)3
- A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
- Weyl magnons in breathing pyrochlore antiferromagnets
- Chiral spin-wave edge modes in dipolar magnetic thin films
- Tunable magnon Weyl points in ferromagnetic pyrochlores
- Dirac magnons in honeycomb ferromagnets
- 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
- Twist engineering of the two-dimensional magnetism in double bilayer chromium triiodide homostructures
- Magnetic texture-induced thermal Hall effects
- Dirac and nodal line magnons in three-dimensional antiferromagnets
- Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
- 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
- Bulk and edge spin transport in topological magnon insulators
- Bilayer Photonic Graphene
- Topological magnon bands in a room temperature Kagome magnet
- Topological Invariant for Magnon Spin Hall Systems
- Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
- Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
- Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
- Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
- Higher-order topological solitonic insulators
- Topological magnons in a kagome lattice spin system with and Dzyaloshinskii-Moriya interactions
- Floquet Topological Magnons
- Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons
- Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
- Moiré magnons in twisted bilayer magnets with collinear order
- First and Second Order Topological Phases on Ferromagnetic Breathing Kagome Lattice
- The interplay of Dzyaloshinskii-Moriya and Kitaev interactions for magnonic properties of Heisenberg-Kitaev honeycomb ferromagnets
- Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
- Three-dimensional topological magnon systems
- Unified Treatment of Magnons and Excitons in Monolayer CrI from Many-Body Perturbation Theory
- Second-order topological insulator in breathing square lattice of magnetic vortices
- Chiral topological insulator of magnons
- Magnon magic angles and tunable Hall conductivity in 2D twisted ferromagnetic bilayers
- Edge on-site potential effects in a honeycomb topological magnon insulator
- Dirac surface states in magnonic analogs of topological crystalline insulators
- Magnonic Su-Schrieffer-Heeger Model in Honeycomb Ferromagnets
- Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
- Thermal Hall effect from two-dimensional Schwinger-boson gas with Rashba spin-orbit interaction: application to ferromagnets with in-plane Dzyaloshinskii-Moriya interaction
- Magnon bands in twisted bilayer honeycomb quantum magnets
Cited by in corpus (12)
- Topological Phases in Magnonics
- Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
- Effects of Disorder On Thouless Pumping In Higher-Order Topological Insulators
- Topological quantum transition driven by charge-phonon coupling in higher-order topological insulators
- Controllable magnetic domains in twisted trilayer magnets
- Higher-order Topological States in Chiral Split Magnons of Honeycomb Altermagnets
- Magnetic Field Controlled Surface Localization of Spin-Wave Ferromagnetic Resonance Modes in 3D Nanostructures
- Higher-order topology in twisted multilayer systems: a review
- Magnetic Moiré Systems: a review
- Finite-temperature topological invariant for higher-order topological insulators
- Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
- Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets