Ferroelectricity in spiral magnets

Abstract

It was recently observed that materials showing most striking multiferroic phenomena are frustrated spin-density-wave magnets. We present a simple phenomenological theory, which describes the orientation of the induced electric polarization for various incommensurate magnetic states, its dependence on temperature and magnetic field, and anomalies of dielectric susceptibility at magnetic transitions. We show that electric polarization can be induced at domain walls and that magnetic vortices carry electric charge.

4 pages, 4 figures

References in corpus (7)

• Spin current and magneto-electric effect in non-collinear magnets
• Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Distorted Perovskite with e_g^1 Configuration as a Frustrated Spin System
• Spin structure and magnetic frustration in multiferroic RMn2O5 (R = Tb, Ho, Dy)
• Space-Time Parity Violation and Magnetoelectric Interactions in Antiferromagnets
• Helicoidal ordering in iron perovskites

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• Recent Advances in Unconventional Ferroelectrics and Multiferroics
• Magnetic order and electromagnon excitations in DyMnO3 studied by neutron scattering experiments
• Electromagnon Resonances in the Optical Response of Spiral Magnets
• Magnetic field-induced spontaneous polarization reversal in multiferroic Mn${}_{0.85}$Co${}_{0.15}$WO${}_4$
• Ho and Fe magnetic ordering in multiferroic HoFe3(BO3)O4
• Multiferroic spin-superfluid and spin-supersolid phases in MnCr2S4
• Coupling of phonons and spin waves in triangular antiferromagnet
• Linear roto-antiferromagnetic effect in multiferroics: physical manifestations
• Ferroelectricity driven magnetism at domain walls in LaAlO${}_3$/PbTiO${}_3$ superlattices
• Charge orders in organic charge-transfer salts
• Existence of a critical canting angle of magnetic moments to induce multiferroicity in the Haldane spin-chain system, Tb2BaNiO5
• Normal Modes of a Spin Cycloid or Helix
• Superconducting diodes from magnetization gradients
• Magnetically induced polarization in centrosymmetric bonds
• A New Multiferroic State with Large Electric Polarization in Tensile Strained TbMnO3
• Multiferroics and beyond: electric properties of different magnetic textures
• Magnetic field induced phases in anisotropic triangular antiferromagnets: application to $\mathrm{CuCr}{\mathrm{O}}_2$
• Topological electric driving of magnetization dynamics in insulators
• Magnetic-field induced multiferroicity in a quantum critical frustrated spin liquid
• Landau theory for the phase diagram of the multiferroic Mn${}_{1-x}$(Fe,Zn,Mg)${}_x$WO${}_4$
• Charge and orbital order in transition metal oxides
• Effect of magnetoelectrical interactions on multiferroic domain walls
• Quantum Dynamics of Multiferroic Helimagnets: a Schwinger-Boson Approach
• Electromagnon excitations in modulated multiferroics
• Critical size limits for collinear and spin spiral magnetism in CoCr${}_2$O${}_4$
• Spherical neutron polarimetry study of hysteresis in multiferroic MnWO4
• Polarizability of electrically induced magnetic vortex plasma
• Unravelling the complex magnetic structure of multiferroic pyroxene NaFeGe2O6: A combined experimental and theoretical study
• Sinusoidal electromagnon in RMnO3: Indication of anomalous magnetoelectric coupling
• Theory of electric polarization in multi-orbital Mott insulators
• The Magnetic Structure of DyMn2O5 Determined by Resonant X-ray Scattering
• Multiferroic phases of the frustrated quantum spin-chain compound linarite
• Noncollinear and noncoplanar magnetic order in the extended Hubbard model on anisotropic triangular lattice
• Electromagnons in the multiferroic state of perovskite manganites with symmetric-exchange striction
• Large Magnetic Moment in Flexoelectronic Silicon at Room Temperature
• Terahertz magnetoelectric response via electromagnons in magnetic oxides
• Electric field control of moiré skyrmion phases in twisted multiferroic NiI${}_2$ bilayers
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Spacetime magnetic hopfions: from internal excitations and braiding of skyrmions
• Atomic-Scale Magnetic Toroidal Dipole under Odd-Parity Hybridization
• Anisotropic dielectric and ferroelectric response of multiferroic LiCu2O2 in magnetic field
• Superexchange theory of electronic polarization driven by relativistic spin-orbit interaction at the half-filling
• Symmetry analysis of light-induced magnetic interactions via Floquet engineering
• Control of multiferroic domains by external electric fields in TbMnO3
• Tensor Properties of the Magneto-electric Coupling in Hexaferrites
• Pseudo-proper ferroelectricity in thin films
• First-principles theory of magnetically induced ferroelectricity in TbMnO3
• Successive incommensurate spin orderings and excitations in multiferroic SrMnGe2O6
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Field-induced continuous rotation of the polarization in multiferroic Mn${}_{0.95}$Co${}_{0.05}$WO${}_4$
• Improper Ferroelectricity in Helicoidal Antiferromagnet Cu3Nb2O8
• Vector Chiral Phases in the Frustrated 2D XY Model and Quantum Spin Chains
• The magnetoelectric coupling in the multiferroic compound LiCu2O2
• Spin-spiral states in undoped manganites
• Effects of relaxation on photovoltaic effect and possibility of photocurrent within transparent region
• Observation of Unusual Magnetoelastic Effects in a Quasi-1D Spiral Magnet
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Electric Polarization in YCrO3 Induced by Restricted Polar Domains of Magnetic and Structural Natures
• Spin-wave dispersion and magnon chirality in multiferroic TbMnO3
• Spin-Wave and Electromagnon Dispersions in Multiferroic MnWO4 as Observed by Neutron Spectroscopy: Isotropic Heisenberg Exchange versus Anisotropic Dzyaloshinskii-Moriya Interaction
• Strong magnetoelastic coupling at the transition from harmonic to anharmonic order in NaFe(WO${}_4$)${}_2$ with 3d${}^5$ configuration
• Vector-spin-chirality order in a dimerized frustrated spin-1/2 chain
• Novel magnetoelectric effects via penta-linear interactions
• Competing exchanges and spin-phonon coupling in Eu1-xRxMnO3 (R=Y,Lu)
• Electric field control of multiferroic domain wall motion
• Uniaxial pressure dependencies of the phase transitions in GdMnO${}_3$
• Theory and phase-field simulations on electrical control of spin cycloids in a multiferroic
• Monte Carlo simulations on rare-earth Holmium ultra-thin films
• Microwave magnetoelectric fields: An analytical study of topological characteristics
• Multiferroicity in Geometrically Frustrated α-MCr_2O_4 systems (M=Ca, Sr, Ba)
• Fingerprints of spin-current physics on magnetoelectric response in the spin-$1/2$ magnet Ba${}_2$CuGe${}_2$O${}_7$
• Hidden Ferronematic Order in Underdoped Cuprates
• Magnetic Excitations in the Spin-Spiral State of TbMnO${}_3$ and DyMnO${}_3$
• Electric Polarization in Inhomogeneous Crystals
• Double-exchange theory of ferroelectric polarization in orthorhombic manganites with twofold periodic magnetic texture
• Thermodynamic properties of LiCu${}_2$O${}_2$ multiferroic compound
• Goldstone modes and electromagnon fluctuations in the conical cycloid state of a multiferroic
• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• The fate of $p$-wave spin polarization in helimagnets with Rashba spin-orbit coupling
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Anatomy of Spin and Current Generation from Magnetization Gradients in Topological Insulators and Rashba Metals
• Weak ferromagnetism linked to the high-temperature spiral phase of YBaCuFeO5
• Dimensional reduction and incommensurate dynamic correlations in the $S=\frac{1}{2}$ triangular-lattice antiferromagnet Ca${}_3$ReO${}_5$Cl${}_2$
• An Effective Model of Magnetoelectricity in Multiferroics $RM{n}_2{O}_5$
• Magneto and ferroelectric phase transitions in HoMn2O5 monocrystals
• Symmetry, incommensurate magnetism and ferroelectricity: the case of the rare-earth manganites RMnO3
• Electric polarization of magnetic domain walls in magnetoelectrics
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Internal magnetic field effect on magnetoelectricity in orthorhombic $RMn{O}_3$ crystals
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• Magnetoelectric control of spin helicity and nonreciprocal charge transport in a multiferroic metal
• Magnetoelectricity induced by rippling of magnetic nanomembranes and wires
• Roles of Bond Alternation in Magnetic Phase Diagram of RMnO3
• Magnetism, FeS colloids, and Origins of Life
• Microscopic model for magneto-electric coupling through lattice distortions
• Landau Potential for Multiferroic Mn_2GeO_4
• When electric charge becomes also magnetic
• Size-dependent bistability in multiferroic nanoparticles
• Electric field effect on spin waves and magnetization dynamics: role of magnetic moment current
• Orientation Dependence of the Critical Magnetic Field for Multiferroic BiFeO${}_3$
• First ESR Detection of Higgs Amplitude Mode and Analysis with Extended Spin-Wave Theory in Dimer System KCuCl${}_3$
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Quantum Dielectric Fluctuation in an Electronic Ferroelectricity studied by Variational Monte-Carlo Method
• Temperature-Dependent Anomalies in the Structure of the (001) Surface of LiCu2O2
• Neutron diffraction in MnSb2O6: Magnetic and structural domains in a helicoidal polar magnet with coupled chiralities
• Polar properties of Eu0.6Y0.4MnO3 ceramics and their magnetic field dependence
• Rich magnetoelectric phase diagrams of multiferroic single-crystal alpha-NaFeO2
• Long range antiferromagnetic order of formally non-magnetic Eu${}^{3+}$ Van Vleck ions observed in multiferroic Eu${}_{1-x}$Y${}_x$MnO${}_3$
• Energy dynamics in a generalized compass chain
• Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu2OSeO3
• Microscopic evidence of spin-driven multiferroicity and topological spin textures in monolayer NiI2
• Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
• Giant dielectric nonlinearities at a magnetic Bose-Einstein condensation
• First-principles demonstration of Roman surface topological multiferroicity
• Magnetic Structure and Dielectric State in the Multiferroic Ca${}_2$CoSi${}_2$O${}_7$
• Numerical Simulation of Spin-Chirality Switching in Multiferroics via Intense Electromagnon Excitations
• Magnetoelectric effect in dipolar clusters
• Revival of antibiskyrmionic magnetic phases in bilayer NiI${}_2$
• Collective Phase-like Mode and the Role of Lattice Distortions at TN~TC in RMn2O5 (R= Pr, Sm, Gd, Tb, Bi)
• Theory of Magnetic-Field-Induced Polarization Flop in Spin-Spiral Multiferroics
• Ginzburg-Landau theory for the conical cycloid state in multiferroics: applications to CoCr${}_2$O${}_4$
• Control of multiferroic order by magnetic field in frustrated helimagnet MnI${}_2$. Theory
• Giant pressure-enhancement of multiferroicity in CuBr2
• Pressure effects on magnetic ground states in cobalt doped multiferroic Mn${}_{1-x}$Co${}_x$WO${}_4$
• Ab Initio Cycloidal and Chiral Magnetoelectric Responses in Cr${}_2$O${}_3$
• Structural dimerization in the commensurate magnetic phases of NaFe(WO${}_4$)${}_2$ and MnWO${}_4$
• Magnetic and electric properties in the distorted tetrahedral spin chain system Cu3Mo2O9
• Dielectric relaxation by quantum critical magnons
• Photo-creating supercooled spiral-spin states in a multiferroic manganite
• Bond distortion effects and electric orders in spiral multiferroic magnets
• Spin-density-wave order controlled by uniaxial stress in CeAuSb${}_2$
• Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet
• Quantum information diode based on a magnonic crystal
• Symmetry Theory of the Flexomagnetoelectric Interaction in the Magnetic Vortices and Skyrmions
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• Critical dielectric susceptibility at a magnetic BEC quantum critical point
• Floquet theory and applications in open quantum and classical systems
• Control of the ferroelectricity in metastable state for orthorhombic $R$MnO${}_3$ crystals
• Symmetry Theory of the Flexomagnetoelectric Effect in the Bloch Lines
• Chiral Order and Multiferroic Domain Relaxation in NaFeGe${}_2$O${}_6$
• Theory of surface-induced multiferroicity in magnetic materials, thin films and multilayers
• Electric control of emergent magnonic spin current and dynamic multiferroicity in magnetic insulators at finite temperatures
• Canted Magnetic Ground State of Quarter-Doped Manganites $R_{0.75}$Ca${}_{0.25}$MnO${}_3$ ($R$ = Y, Tb, Dy, Ho, and Er)
• Neutron scattering sum rules, symmetric exchanges, and helicoidal magnetism in MnSb${}_2$O${}_6$
• A Comprehensible Review: Magnonic Magnetoelectric Coupling in Ferroelectric/ Ferromagnetic Composites
• Electrically-excited Motion of Topological Defects in Multiferroic Materials
• Magnetoelectric-field electrodynamics: Search for magnetoelectric point scatterers
• Coupled electricity and magnetism in solids: multiferroics and beyond
• Flexomagnetoelectric Interaction in Cubic, Tetragonal and Orthorhombic Crystals
• Coupling of replicate order-parameters in incommensurate multiferroics
• Bimeron Crystals by a Linearly Polarized AC Electric Field in Frustrated Magnets
• Unified Magnetoelectric Mechanism for Spin Splitting in Magnets
• Quantum memory and scrambling from the perspective of a classical neural network
• Modeling and Physics of Multiferroic Perovskite Manganites
• The Effect of $f$-$d$ Magnetic Coupling in Multiferroic $R$MnO${}_3$ Crystals
• Evidence of magnetoelectronic electromagnon mediated transport in flexoelectronic heterostructures
• Sawtooth lattice multiferroic BeCr${}_2$O${}_4$: Non-collinear magnetic structure and multiple magnetic transitions
• Single-crystal investigations on the multiferroic material LiFe(WO${}_4$)${}_2$
• Infrared phonon spectroscopy on the Cairo pentagonal antiferromagnet Bi2Fe4O9: a study through the pressure induced structural transition
• Chiral spin liquid in a two-dimensional two-component helical magnet
• Helimagnons in a chiral ground state of the pyrochlore antiferromagnets
• Inhomogeneous Magnetoelectric Effect on Defect in Multiferroic Material: Symmetry Prediction
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Chiral scattering in complex magnets
• Determination of superexchange interactions for the CuO${}_2$ chains in LiCu${}_2$O${}_2$
• Proposal for spin superfluid quantum interference device
• Microscopic Observation of Entangled Multi-Magnetoelectric Coupling Phenomenon
• Theoretical spin-wave dispersions in the antiferromagnetic phase AF1 of MnWO${}_4$ based on the polar atomistic model in P2
• Quantum Transport and Magnetism of Dirac Electrons in Solids
• Elastic and magnetoelastic properties of TbMnO3 single crystal by nanosecond time resolved acoustics and first-principles calculations
• Control of a polar order via magnetic field in a vector-chiral magnet
• Multiferroic domain relaxation in (NH4)2[FeCl5(H2O)]
• Directional scrambling of quantum information in helical multiferroics
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• Magnetoelectricity of Topological Solitons in 2D Magnets
• Multiferroicity in Li0.05Ti0.02Ni0.93O Above Room Temperature
• Spin-Orbital Driven Ferroelectricity
• Nonfrustrated magnetoelectric with incommensurate magnetic order in magnetic field
• Reentrance of spin-driven ferroelectricity through rotational tunneling of ammonium
• Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model
• Electromagnon signatures of a metastable multiferroic state
• The influence of antiferromagnetic spin cantings on the magnetic helix pitch in cubic helimagnets
• Anomalous Coexistence of Ferroelectric Phases ($P\parallel a$ and $P\parallel c$) in Orthorhombic Eu${}_{1-y}$Y${}_y$MnO${}_3$ ($y>0.5$) Crystals
• Evidence for Conical Magnetic Structure in M-type BaFe12O19 Hexaferrite: A Combined Single-Crystal XMCD and Neutron Diffraction Study
• Interlayer charge transfer from contact electrification in conducting micro and nanoscale thin film heterostructures
• Magnons in the fan phase of anisotropic frustrated antiferromagnets
• Quantum teleportation by utilizing helical spin chains for sharing entanglement
• Crystallite-size Dependent Harmonic Magneto-electricity in SmFeO3
• New mechanisms to engineer magnetic skyrmions and topological superconductors
• Micromagnetic structures: flexomagnetoelectric coupling point symmetry and Neumann's principle
• Electronic Structure, Optical and Dielectric Spectroscopy Study of TbMnO3
• Non-destructive Ultrafast Steering of Magnetic Vortex by Terahertz Pulses
• Dimensional crossover and local strain induced deflection of the spin spiral state in multiferroic NiI2
• Multipolar ferroelectricity in the Mott regime
• Magneto-Electric Effect in a Spin-State Transition System
• Riemannian geometric classification and emergent phenomena of magnetic textures
• Interplay of electric and magnetic fields in skyrmion phases of the classical Heisenberg model on a square lattice
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions