Asymmetric Magnon Excitation by Spontaneous Toroidal Ordering

Abstract

Effects of spontaneous toroidal ordering on magnetic excitation are theoretically investigated for a localized spin model that includes a staggered Dzyaloshinsky-Moriya interaction and anisotropic exchange interactions, which arise from the antisymmetric spin-orbit coupling and the multi-orbital correlation effect. We show that the model exhibits a Neel-type antiferromagnetic order, which simultaneously accompanies a ferroic toroidal order. We find that the occurrence of toroidal order modulates the magnon dispersion in an asymmetric way with respect to the wave number: a toroidal dipole order on the zigzag chain leads to a band-bottom shift, while a toroidal octupole order on the honeycomb lattice gives rise to a valley splitting. These asymmetric magnon excitations could be a source of unusual magnetic responses, such as nonreciprocal magnon transport. A variety of modulations are discussed while changing the lattice and magnetic symmetries. Implications of candidate materials for asymmetric magnon excitations are presented.

4 pages, 5 figures

References in corpus (10)

• Magnetic ground state of semiconducting transition metal trichalcogenide monolayers
• Coupling the valley degree of freedom to antiferromagnetic order
• Magnetoelectric MnPS3 thiophosphate as a new candidate for ferrotoroidicity
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Toroidal order in metals without local inversion symmetry
• Nonreciprocal magnon propagation in a noncentrosymmetric ferromagnet
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Spontaneous multipole ordering by local parity mixing
• Magnetic structure and Dzyaloshinskii-Moriya interaction in the $S=1/2$ helical-honeycomb antiferromagnet $\alpha$-Cu${}_2$V${}_2$O${}_7$
• High Pressure Measurements of the Resistivity of $\beta$-YbAlB${}_4$

Cited by in corpus (38)

• Spin current generation in organic antiferromagnets
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Nonreciprocal magnons and symmetry-breaking in the noncentrosymmetric antiferromagnet
• Magnetic hexadecapole order and magnetopiezoelectric metal in Ba${}_{1-x}$K${}_x$Mn${}_2$As${}_2$
• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Unified description of electronic orderings and cross correlations by complete multipole representation
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Nonreciprocal Magnon by Symmetric Anisotropic Exchange Interaction in Honeycomb Antiferromagnet
• Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: implication to 5$d$ transition metal oxides $A$OsO${}_4$ ($A=$ K, Rb, and Cs)
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Designing Rashba-Dresselhaus effect in magnetic insulators
• Moiré magnons in twisted bilayer magnets with collinear order
• Nonreciprocal spin Seebeck effect in antiferromagnets
• Spin Seebeck effect in a polar antiferromagnet $\alpha$-Cu${}_2$V${}_2$O${}_7$
• High-field magnetization and magnetic phase diagram of $\alpha$-Cu${}_2$V${}_2$O${}_7$
• Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
• Multifarious skyrmion phases on a trilayer triangular lattice
• Cluster Toroidal Multipoles Formed by Electric-Quadrupole and Magnetic-Octupole Trimers: A Possible Scenario for Hidden Orders in Ca${}_5$Ir${}_3$O${}_{12}$
• Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets
• Essential model parameters for nonreciprocal magnons in multisublattice systems
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Ferroaxial moment induced by vortex spin texture
• Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce${}_3$TiBi${}_5$
• Proximity-induced equilibrium supercurrent and perfect superconducting diode effect due to band asymmetry
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Analysis of photo-induced chirality and magnetic toroidal moment based on Floquet formalism
• Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field
• Nonreciprocal superposition state in antiferromagnetic optospintronics
• Nonreciprocal phonons in PT-symmetric antiferromagnet
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• Magnetic structure and spin dynamics of the quasi-2D antiferromagnet Zn-doped copper pyrovanadate
• Uniform and Staggered electric axial moment in zigzag chain
• Nonreciprocal magnons in layered antiferromagnets VPX3(X =S,Se,Te)
• Nonreciprocal magnon excitations by the Dzyaloshinskii-Moriya interaction on the basis of bond magnetic toroidal multipoles