Dirac magnons in honeycomb ferromagnets

Abstract

The discovery of the Dirac electron dispersion in graphene led to the question of the Dirac cone stability with respect to interactions. Coulomb interactions between electrons were shown to induce a logarithmic renormalization of the Dirac dispersion. With a rapid expansion of the list of compounds and quasiparticle bands with linear band touching, the concept of bosonic Dirac materials has emerged. We consider a specific case of ferromagnets consisting of the Van der Waals-bonded stacks of honeycomb layers, e.g chromium trihalides CrX3 (X = F, Cl, Br and I), that display two spin wave modes with energy dispersion similar to that for the electrons in graphene. At the single particle level, these materials resemble their fermionic counterparts. However, how different particle statistics and interactions affect the stability of Dirac cones has yet to be determined. To address the role of interacting Dirac magnons, we expand the theory of ferromagnets beyond the standard Dyson theory to a case of non-Bravais honeycomb layers. We demonstrate that magnon-magnon interactions lead to a significant momentum-dependent renormalization of the bare band structure in addition to strongly momentum-dependent magnon lifetimes. We show that our theory qualitatively accounts for hitherto unexplained anomalies in a nearly half century old magnetic neutron scattering data for CrBr3. We also show that honeycomb ferromagnets display dispersive surface and edge states, unlike their electronic analogs.

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Cited by in corpus (101)

• Probing magnetism in 2D van der Waals crystalline insulators via electron tunneling
• Direct photoluminescence probing of ferromagnetism in monolayer two-dimensional CrBr3
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Magnon Blockade in a Hybrid Ferromagnet-Superconductor Quantum System
• Fundamental Spin Interactions Underlying the Magnetic Anisotropy in the Kitaev Ferromagnet CrI${}_3$
• Spin direction controlled electronic band structure in two dimensional ferromagnetic CrI3
• Raman fingerprint of two terahertz spin wave branches in a two-dimensional honeycomb Ising ferromagnet
• Calculating critical temperatures for ferromagnetic order in two-dimensional materials
• Dirac magnons in a honeycomb lattice quantum XY magnet CoTiO3
• Topological insulators and semimetals in classical magnetic systems
• Interaction-stabilized topological magnon insulator in ferromagnets
• Magnetic field effect on topological spin excitations in CrI${}_3$
• Non-Hermitian topology of spontaneous magnon decay
• Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI${}_3$
• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Anti-chiral edge states in Heisenberg ferromagnet on a honeycomb lattice
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
• Moiré magnons in twisted bilayer magnets with collinear order
• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
• Spin caloritronics in a CrBr${}_3$-based magnetic van der Waals heterostructure
• Giant thermal magnetoconductivity in CrCl${}_3$ and a general model for spin-phonon scattering
• Thermal Evolution of Dirac Magnons in the Honeycomb Ferromagnet CrBr${}_3$
• Magnetoelectric Response of Antiferromagnetic Van der Waals Bilayers
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Ferromagnetic helical nodal line and Kane-Mele spin-orbit coupling in kagome metal Fe3Sn2
• Dirac magnons, nodal lines, and nodal plane in elemental gadolinium
• Spin Hall and Nernst effects of Weyl magnons
• Magnon-phonon interactions enhance the gap at the Dirac point in the spin-wave spectra of CrI${}_3$ two-dimensional magnets
• Gaps in Topological Magnon Spectra: Intrinsic vs. Extrinsic Effects
• Chiral topological insulator of magnons
• Calculated magnetic exchange interactions in Dirac magnon material Cu3TeO6
• Evidence for biquadratic exchange in the quasi-two-dimensional antiferromagnet FePS${}_3$
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Stacking-dependent topological magnons in bilayer CrI${}_3$
• Magnon corner states in twisted bilayer honeycomb magnets
• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
• Topological Valley Transport of Gapped Dirac Magnons in Bilayer Ferromagnetic Insulators
• Edge on-site potential effects in a honeycomb topological magnon insulator
• Strain-Induced Topological Magnon Phase Transitions: Applications to Kagome-Lattice Ferromagnets
• Interacting topological Dirac magnons
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Self-selecting vapor growth of transition metal halide single crystals
• Visualization of moiré magnons in monolayer ferromagnet
• Magneto-structural coupling in ilmenite-type NiTiO${}_3$: a combined diffraction and dilatometry study
• Magnonic Su-Schrieffer-Heeger Model in Honeycomb Ferromagnets
• 2D ferromagnetism at finite temperatures under quantum scrutiny
• Two-dimensional ferromagnetic spin-orbital excitations in the honeycomb VI${}_3$
• Twist-induced magnon Landau levels in honeycomb magnets
• Magnon quantum anomalies in Weyl ferromagnets
• Flavor-wave theory with quasiparticle damping at finite temperatures: Application to chiral edge modes in the Kitaev model
• Insights on magnon topology and valley-polarization in 2D bilayer quantum magnets
• Topological magnon gap engineering in van der Waals CrI${}_3$ ferromagnets
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Temperature-Induced Magnonic Chern Insulator in Collinear Antiferromagnets
• Topological Magnon Insulator with a Kekule Bond Modulation
• Relating spin-polarized STM imaging and inelastic neutron scattering in the van-der-Waals ferromagnet Fe3GeTe2
• Dirac Hamiltonians for bosonic spectra
• Topological Weyl magnons and thermal Hall effect in layered honeycomb ferromagnets
• Dirac cones and mass terms in bosonic spectra
• Magnon-magnon interaction in monolayer MnBi${}_2$Te${}_4$
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Thermal Hall Effect of Magnons from Many-Body Skew Scattering
• Magnon dispersion in bilayers of two-dimensional ferromagnets
• Thermal squeezing and nonlinear spectral shift of magnons in antiferromagnetic insulators
• Interacting Dirac Materials
• Time-dependent strain-tuning topological magnon phase transition
• Nonreciprocal superposition state in antiferromagnetic optospintronics
• Einstein-de Haas Effect of Topological Magnons
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• Discretized dynamics of exchange spin wave bulk and edge modes in honeycomb nanoribbons with armchair edge boundaries
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• Spin wave excitations of magnetic metalorganic materials
• Two-dimensional Dirac nodal loop magnons in collinear antiferromagnets
• Interaction-induced nonlinear magnon transport in noncentrosymmetric magnets
• Momentum-space theory for topological magnons in 2D ferromagnetic skyrmion lattices
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Field-Induced Magnon Decay, Magnon Shadows, and Roton-like Excitations in the Honeycomb Antiferromagnet YbBr${}_3$
• Interacting Dirac magnons in the van der Waals ferromagnet CrBr${}_3$
• Dirac Magnon in Honeycomb Lattice Magnet NiTiO3
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Thermally-induced mimicry of quantum cluster excitations and implications for the magnetic transition in FePSe${}_3$
• Magnetic Order and Magneto-Elasticity in the Electronic Excitations of Gd-$i$-MAX
• Quantum matter and gravitation: photons in a waveguide
• Predicted versatile topological nodal magnons in Tb-based icosahedral quasicrystal 1/1 approximants
• Dirac magnons pairing via pumping
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Spin interactions and topological magnonics in chromium trihalide CrClBrI
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Transport of Dirac magnons driven by gauge fields
• Long-distance coupling of spin qubits via topological magnons
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Spin-orbit coupling controlled two-dimensional magnetism in chromium trihalides
• Spin wave interactions in the pyrochlore Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions