Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites

Abstract

With the perovskite multiferroic RMnO3 (R = Gd, Tb, Dy) as guidance, we argue that the Dzyaloshinskii-Moriya interaction (DMI) provides the microscopic mechanism for the coexistence and strong coupling between ferroelectricity and incommensurate magnetism. We use Monte-Carlo simulations and zero temperature exact calculations to study a model incorporating the double-exchange, superexchange, Jahn-Teller and DMI terms. The phase diagram contains a multiferroic phase between A and E antiferromagnetic phases, in excellent agreement with experiments.

6 pages, 5 figures

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• Spherical neutron polarimetry study of hysteresis in multiferroic MnWO4
• First-principles study of structurally modulated multiferroic CaMn${}_7$O${}_{12}$
• Magnetoelectric properties of $A_2$[FeCl${}_5$(H${}_2$O)] with $A=$ K, Rb, Cs
• Spin exchange dominated by charge fluctuations of the Wigner lattice in the newly synthesized chain cuprate Na5Cu3O6
• Electromagnon excitations in modulated multiferroics
• Creating a three dimensional intrinsic electric dipole on rotated CrI${}_3$ bilayers
• Anisotropy study of multiferroicity in the pyroxene NaFeGe${}_2$O${}_6$
• A DMI guide to magnets micro-world
• Magnetic Structural Unit with Convex Geometry: a Building Block Hosting an Exchange-striction-driven Magnetoelectric Coupling
• Sinusoidal electromagnon in RMnO3: Indication of anomalous magnetoelectric coupling
• Theory of electric polarization in multi-orbital Mott insulators
• Electromagnons in the multiferroic state of perovskite manganites with symmetric-exchange striction
• Anisotropic dielectric and ferroelectric response of multiferroic LiCu2O2 in magnetic field
• Topological phase, supercritical point and emergent phenomena in extended ${\mathbb{Z}}_3$ parafermion chain
• Quantum Chaos in the Heisenberg Spin Chain: the Effect of Dzyaloshinskii-Moriya Interaction
• Dzyaloshinskii-Moriya-type interaction and Lifshitz invariant in Rashba 2D electron gas systems
• Helicoidal magnetic structure and ferroelectric polarization in Cu3Nb2O8
• Terahertz Spin-Orbital Excitations in the paramagnetic state of multiferroic Sr${}_2$FeSi${}_2$O${}_7$
• Symmetry analysis of light-induced magnetic interactions via Floquet engineering
• Terahertz magnetoelectric response via electromagnons in magnetic oxides
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Pseudo-proper ferroelectricity in thin films
• First-principles theory of magnetically induced ferroelectricity in TbMnO3
• Pressure-induced insulator-metal transition in EuMnO3
• Control of multiferroic domains by external electric fields in TbMnO3
• Superexchange theory of electronic polarization driven by relativistic spin-orbit interaction at the half-filling
• High-Frequency Electromagnon in GdMnO3
• Tensor Properties of the Magneto-electric Coupling in Hexaferrites
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Symmetry Analysis of Magnetoelectric Effects in Honeycomb Antiferromagnet Co4Nb2O9
• Successive incommensurate spin orderings and excitations in multiferroic SrMnGe2O6
• Spin-wave dispersion and magnon chirality in multiferroic TbMnO3
• Strong magnetoelastic coupling at the transition from harmonic to anharmonic order in NaFe(WO${}_4$)${}_2$ with 3d${}^5$ configuration
• Role of Te in the low dimensional multiferroic material FeTe2O5Br
• Vector-spin-chirality order in a dimerized frustrated spin-1/2 chain
• Competing exchanges and spin-phonon coupling in Eu1-xRxMnO3 (R=Y,Lu)
• Observation of Unusual Magnetoelastic Effects in a Quasi-1D Spiral Magnet
• One- and two-magnon excitations in antiferromagnet PbFeBO4
• Magneto-Ferroelectric Interaction in Superlattices: Monte Carlo Study of Phase Transitions
• Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice
• Giant ferroelectric polarization and electric reversal of strong spontaneous magnetization in multiferroic Bi2FeMoO6
• Monte Carlo simulations on rare-earth Holmium ultra-thin films
• New iron-based multiferroics with improper ferroelectricity
• Fingerprints of spin-current physics on magnetoelectric response in the spin-$1/2$ magnet Ba${}_2$CuGe${}_2$O${}_7$
• Multiferroicity in Geometrically Frustrated α-MCr_2O_4 systems (M=Ca, Sr, Ba)
• Goldstone modes and electromagnon fluctuations in the conical cycloid state of a multiferroic
• Electric control of antiferromagnets
• Hidden Ferronematic Order in Underdoped Cuprates
• Double-exchange theory of ferroelectric polarization in orthorhombic manganites with twofold periodic magnetic texture
• An Effective Model of Magnetoelectricity in Multiferroics $RM{n}_2{O}_5$
• Four-spin ring interaction as a source of unconventional magnetic orders in orthorhombic perovskite manganites
• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Non-volatile Electric Control of Magnetic and Topological Properties of MnBi2Te4 Thin Films
• Magnetic Excitations of the Hybrid Multiferroic (ND4)2FeCl5D2O
• Cubic B20 helimagnets with quenched disorder in magnetic field
• Weak ferromagnetism linked to the high-temperature spiral phase of YBaCuFeO5
• Vector chirality for effective total momentum $J_{\text{eff}}$ in a nonfrustrated Mott insulator: Effects of strong spin-orbit coupling and broken inversion symmetry
• Magnetoelectric control of spin helicity and nonreciprocal charge transport in a multiferroic metal
• Electric polarization of magnetic domain walls in magnetoelectrics
• Evolution of magnetic and crystal structures in the multiferroic FeTe2O5Br
• Roles of Bond Alternation in Magnetic Phase Diagram of RMnO3
• Emergent inductance from spin fluctuations in strongly correlated magnets
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Intertwined Magnetic Sub-Lattices in the Double Perovskite Compound LaSrNiReO6
• Reduced crystal symmetry as origin of the ferroelectric polarization within the incommensurate magnetic phase of TbMn2O5
• Direct observation of oxygen polarization in Sr${}_2$IrO${}_4$ by O $K$-edge x-ray magnetic circular dichroism
• Evidence of exchange-striction and charge disproportionation in the magneto-electric material Ni3TeO6
• Symmetry, incommensurate magnetism and ferroelectricity: the case of the rare-earth manganites RMnO3
• Ab-initio prediction of magnetoelectricity in infinite-layer CaFeO2 and MgFeO2
• Quantum Dielectric Fluctuation in an Electronic Ferroelectricity studied by Variational Monte-Carlo Method
• Basic aspects of ferroelectricity induced by noncollinear alignment of spins
• Polar properties of Eu0.6Y0.4MnO3 ceramics and their magnetic field dependence
• Magnetic transitions in CaMn7O12 : a Raman observation of spin-phonon couplings
• Microscopic model for magneto-electric coupling through lattice distortions
• Phase diagram of multiferroic KCu${}_3$As${}_2$O${}_7$(OD)${}_3$
• Long range antiferromagnetic order of formally non-magnetic Eu${}^{3+}$ Van Vleck ions observed in multiferroic Eu${}_{1-x}$Y${}_x$MnO${}_3$
• Exotic Spin Phases in Two Dimensional Spin-orbit Coupled Models: Importance of Quantum Fluctuation Effects
• Temperature-Dependent Anomalies in the Structure of the (001) Surface of LiCu2O2
• First ESR Detection of Higgs Amplitude Mode and Analysis with Extended Spin-Wave Theory in Dimer System KCuCl${}_3$
• Rich magnetoelectric phase diagrams of multiferroic single-crystal alpha-NaFeO2
• Orientation Dependence of the Critical Magnetic Field for Multiferroic BiFeO${}_3$
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• Probing the role of Nd3+ ions in the weak multiferroic character of NdMn2O5 by optical spectroscopies
• Two Coupled Chains are Simpler than One: Field-induced Chirality in a Frustrated Quantum Spin Ladder
• Direct control of magnetic chirality in NdMn2O5 by external electric field
• An Origin of Dzyaloshinskii-Moriya Interaction at Graphene-Ferromagnet Interfaces Due to the Intralayer RKKY/BR Interaction
• Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
• Magnetotransport and spin dynamics in an electron gas formed at oxide interfaces
• Microscopic evidence of spin-driven multiferroicity and topological spin textures in monolayer NiI2
• First-principles demonstration of Roman surface topological multiferroicity
• Modifying the magnetoelectric coupling in TbMnO${}_3$ by low-level Fe${}^{3+}$ substitution
• Glassy dielectric anomaly and negative magneto-capacitance effect in electron-doped Ca${}_{1-x}$Sr${}_x$Mn${}_{0.85}$Sb${}_{0.15}$O${}_3$
• Simple microscopic model for magneto-electric coupling in type-II antiferromagnetic multiferroics
• Theory of Magnetic-Field-Induced Polarization Flop in Spin-Spiral Multiferroics
• Bond distortion effects and electric orders in spiral multiferroic magnets
• Pressure effects on magnetic ground states in cobalt doped multiferroic Mn${}_{1-x}$Co${}_x$WO${}_4$
• Ginzburg-Landau theory for the conical cycloid state in multiferroics: applications to CoCr${}_2$O${}_4$
• Photo-creating supercooled spiral-spin states in a multiferroic manganite
• Magnetoelectric coupling in a frustrated spinel studied using high-field scanning probe microscopy
• Giant pressure-enhancement of multiferroicity in CuBr2
• Structural dimerization in the commensurate magnetic phases of NaFe(WO${}_4$)${}_2$ and MnWO${}_4$
• Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction
• Quantum Spin-Wave Theory for non-collinear Spin Structures, a Review
• Probing Dy3+ magnetic moments in multiferroic perovskite DyMnO3 by optical spectroscopy
• Canted Magnetic Ground State of Quarter-Doped Manganites $R_{0.75}$Ca${}_{0.25}$MnO${}_3$ ($R$ = Y, Tb, Dy, Ho, and Er)
• Floquet theory and applications in open quantum and classical systems
• Crystal-Field--Driven Magnetoelectricity in the Triangular Quantum Magnet CeMgAl${}_{11}$O${}_{19}$
• Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet
• Electrically-excited Motion of Topological Defects in Multiferroic Materials
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• Synthesizing and Controlling Helical Indirect Exchange Interactions at Nonequilibrium
• Electric control of emergent magnonic spin current and dynamic multiferroicity in magnetic insulators at finite temperatures
• Control of the ferroelectricity in metastable state for orthorhombic $R$MnO${}_3$ crystals
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Sawtooth lattice multiferroic BeCr${}_2$O${}_4$: Non-collinear magnetic structure and multiple magnetic transitions
• Flexomagnetoelectric Interaction in Cubic, Tetragonal and Orthorhombic Crystals
• Phase transitions of the ferroelectric $({\mathrm{ND}}_4{)}_2{\mathrm{FeCl}}_5\cdot {\mathrm{D}}_2\mathrm{O}$ under a magnetic field
• Magnetoelectric effect arising from a field-induced pseudo Jahn-Teller distortion in a rare earth magnet
• Quantum memory and scrambling from the perspective of a classical neural network
• Modeling and Physics of Multiferroic Perovskite Manganites
• Bimeron Crystals by a Linearly Polarized AC Electric Field in Frustrated Magnets
• Infrared phonon spectroscopy on the Cairo pentagonal antiferromagnet Bi2Fe4O9: a study through the pressure induced structural transition
• NMR Evidence of Charge Fluctuations in Multiferroic CuBr2
• Magnetic phase diagram of $A_2$[FeCl${}_5$(H${}_2$O)] ($A$ = K, Rb, NH${}_4$)
• Theoretical study of the magnetism in the incommensurate phase of TiOCl
• Specific heat studies of the phase transitions in multiferroic Sr${}_{1-x}$Ba${}_x$Mn${}_{1-y}$Ti${}_y$O${}_3$ system ($0\le x\le 0.65,0\le y\le 0.1$)
• Direct evidence for intermediate multiferroic phase in LiCuFe2(VO4)3
• Sliding multiferrocity in van der Waals layered CrI${}_2$
• Theoretical spin-wave dispersions in the antiferromagnetic phase AF1 of MnWO${}_4$ based on the polar atomistic model in P2
• Optimization of noncollinear magnetic ordering temperature in Y-type hexaferrite by machine learning
• Directional scrambling of quantum information in helical multiferroics
• Microscopic Observation of Entangled Multi-Magnetoelectric Coupling Phenomenon
• Chiral scattering in complex magnets
• Multiferroicity in the Presence of Exchange Bias: The Case of Spinel CoMn2O4
• Control of a polar order via magnetic field in a vector-chiral magnet
• Strong impact of low-level substitution of Mn by Fe on the magnetoelectric coupling in $TbMn{O}_3$
• Spin-Orbital Driven Ferroelectricity
• Dynamics of the multiferroic LiCuVO4 influenced by electric field
• Incommensurate magnetic order drives singular angular magnetoresistance in a Weyl semimetal
• Spin dynamics in linear magnetoelectric material Mn${}_3$Ta${}_2$O${}_8$
• Magnetoelectricity of Topological Solitons in 2D Magnets
• Nonfrustrated magnetoelectric with incommensurate magnetic order in magnetic field
• Multipolar ferroelectricity in the Mott regime
• Magneto-Electric Effect in a Spin-State Transition System
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Magnetic field tuning of modulated magnetic orders in CrOCl at the two-dimensional limit
• Chirality Transfer to the Magnetic Sublattice in the Hybrid Perovskite (R)-/(S)-3-Fluoropyrrolidinium Copper(II) Chloride
• Electronic Structure, Optical and Dielectric Spectroscopy Study of TbMnO3
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields
• A Green's function method for the two-dimensional frustrated spin-1/2 Heisenberg magnetic lattice
• Canting angle behavior of magnetic moments in Y- substituted Tb2BaNiO5 and its relevance for magnetoelectric coupling
• Polarisation dependence of magnetic Bragg scattering in YMn${}_2$O${}_5$
• Interplay of electric and magnetic fields in skyrmion phases of the classical Heisenberg model on a square lattice