Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology

Abstract

Multiferroics are those materials with more than one ferroic order, and magnetoelectricity refers to the mutual coupling between magnetism and electricity. The discipline of multiferroicity has never been so highly active as that in the first decade of the twenty-first century, and it has become one of the hottest disciplines of condensed matter physics and materials science. A series of milestones and steady progress in the past decade have enabled our understanding of multiferroic physics substantially comprehensive and profound, which is further pushing forward the research frontier of this exciting area. The availability of more multiferroic materials and improved magnetoelectric performance are approaching to make the applications within reach. While seminal review articles covering the major progress before 2010 are available, an updated review addressing the new achievements since that time becomes imperative. In this review, following a concise outline of the basic knowledge of multiferroicity and magnetoelectricity, we summarize the important research activities on multiferroics, especially magnetoelectricity and related physics in the last six years. We consider not only single-phase multiferroics but also multiferroic heterostructures. We address the physical mechanisms regarding magnetoelectric coupling so that the backbone of this divergent discipline can be highlighted. A series of issues on lattice symmetry, magnetic ordering, ferroelectricity generation, electromagnon excitations, multiferroic domain structure and domain wall dynamics, and interfacial coupling in multiferroic heterostructures, will be revisited in an updated framework of physics. In addition, several emergent phenomena and related physics, including magnetic skyrmions and generic topological structures associated with magnetoelectricity will be discussed.

arXiv comment120 pages, 46 pages, 2 tables, more than 500 references

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• Symmetry Analysis of Multiferroic Co_3TeO_6
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• Impact of the various spin and orbital ordering processes on multiferroic properties of orthovanadate DyVO3
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• Ferroelectric Control of Magnetism and Transport in Oxide Heterostructures
• Enhancement of ferroelectricity in Cr-doped Ho_2Ti_2O_7
• Magnetic order and electromagnon excitations in DyMnO3 studied by neutron scattering experiments
• Ferroelectricity driven magnetism at domain walls in LaAlO${}_3$/PbTiO${}_3$ superlattices
• Emergent dimensional reduction of the spin sector in a model for narrow-band manganites
• Magnetic Field Induced Transition in Vanadium Spinels
• Electromagnons in the multiferroic state of perovskite manganites with symmetric-exchange striction
• Coupled nonpolar-polar metal-insulator transition in 1:1 SrCrO${}_3$/SrTiO${}_3$ superlattices: A first-principles study
• Spin-spiral states in undoped manganites
• Molecular-spin dynamics study of electromagnons in multiferroic RMn${}_2$O${}_5$
• Spectral origin of the colossal magnetodielectric effect in multiferroic DyMn2O5
• The Effect of Disorder in an Orbitally Ordered Jahn-Teller Insulator

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• Prospects and Applications Near Ferroelectric Quantum Phase Transitions
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• Giant anisotropic magnetoresistance and nonvolatile memory in canted antiferromagnet Sr2IrO4
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• Hexagonal phase stabilization and magnetic orders of multiferroic Lu${}_{1-x}$Sc${}_x$FeO${}_3$
• Diagonal magnetoelectric susceptibility and effect of Fe-doping in a polar ferrimagnet Mn2Mo3O8
• Pressure-driven phase transition from antiferromagnetic semiconductor to nonmagnetic metal in two-leg ladders $A$Fe${}_2$$X$${}_3$ ($A$=Ba or K, $X$=S or Se)
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Ferroelectricity and ferromagnetism in VOI${}_2$ monolayer: the role of Dzyaloshinskii-Moriya interaction
• Phase competition and negative piezoelectricity in interlayer-sliding ferroelectric ZrI${}_2$
• Determination of intrinsic ferroelectric polarization in lossy improper ferroelectric systems
• Inversion of ferrimagnetic magnetization by ferroelectric switching via a novel magnetoelectric coupling
• Prediction of two-dimensional ferromagnetic ferroelectric VOF${}_2$ monolayer
• Realization of Semiconducting Layered Multiferroic Heterojunctions via Asymmetrical Magnetoelectric Coupling
• Bulk and Two-dimensional Silver and Copper Monohalides: A Unique Class of Materials with Modest Ionicity/Covalency and Ferroelasticity/Multiferroicity
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• Ferroic orders in two-dimensional transition/rare-earth metal halides
• Microscopic Theory for Coupled Atomistic Magnetization and Lattice Dynamics
• Nonvolatile Multi-level Memory and Boolean Logic Gates Based on a Single Memtranstor
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• The Jeff=1/2 antiferromagnet Sr2IrO4: A golden avenue toward new physics and functions
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• Ferroelectric Ferrimagnetic LiFe${}_2$F${}_6$: Charge Ordering Mediated Magnetoelectricity
• Extraordinarily large intrinsic magnetodielectric coupling of Tb member within the Haldane spin-chain family, R2BaNiO5
• Electric field control of magnon-induced magnetization dynamics in multiferroics
• Magnetoelectric and Raman spectroscopic studies of single-crystalline MnCr2O4
• Switching of magnons by electric and magnetic fields in multiferroic borates
• Probing ferroelectricity in highly conducting materials through their elastic response: persistence of ferroelectricity in metallic BaTiO3-d
• Electric-field-controllable high-spin SrRuO3 driven by a solid ionic junction
• Ferroelectric higher-order topological insulator in two dimensions
• High-temperature magnetism and crystallography of a YCrO${}_3$ single crystal
• Structural transitions in hybrid improper ferroelectric Ca${}_3$Ti${}_2$O${}_7$ tuned by site-selective iso-valent substitutions: a first-principles study
• Cycloidal magnetism driven ferroelectricity in double tungstate LiFe(WO${}_4$)${}_2$
• Emergent Vibronic Excitations in the Magnetodielectric Regime of ${\text{Ce}}_2{\text{O}}_3$: Raman Scattering Studies
• Current Advances in Magnetoelectric Composites with Various Interphase Connectivity Types
• Colossal linear magnetoelectricity in polar magnet Fe2Mo3O8
• Tuning the tilting of the spiral plane by Mn doping in YBaCuFeO5 multiferroic
• Magnetic structure and multiferroicity of Sc-substituted hexagonal YbFeO${}_3$
• Two-dimensional Dual-Switchable Ferroelectric Altermagnets: Altering Electrons and Magnons
• Realizing Magnetoelectric Coupling with Hydroxide as a Knob
• A comprehensive review on the ferroelectric orthochromates: Synthesis, property, and application
• Emergent Multiferroic Altermagnets and Spin Control via Noncollinear Molecular Polarization
• Helical bunching and symmetry lowering inducing multiferroicity in Fe langasites
• Nonvolatile Multilevel States in Multiferroic Tunnel Junctions
• Decoupled Strain Response of Ferroic Properties in Multiferroic VOCl2 Monolayer
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice
• Magnetic and structural properties of Ni-substituted magnetoelectric Co${}_4$Nb${}_2$O${}_9$
• BaMF${}_4$ (M = Mn, Co, Ni): New Electrode Materials for Hybrid Supercapacitor with Layered Polar Structure
• Magnetoelectric coupling and decoupling in multiferroic hexagonal YbFeO3 thin films
• Two-dimensional 5d multiferroic W3Cl8: breathing Kagome lattice and tunable magneto-optical Kerr effect
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
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• Spin excitations of magnetoelectric LiNiPO${}_4$ in multiple magnetic phases
• Proton-transfer Ferroelectricity / Multiferroicity in Rutile Oxyhydroxides
• Alterferroicity with seesaw-type magnetoelectricity
• Experimental identification of electric dipoles induced by magnetic monopoles in Tb2Ti2O7
• Existence of a critical canting angle of magnetic moments to induce multiferroicity in the Haldane spin-chain system, Tb2BaNiO5
• Lévy flights confinement in a parabolic potential and fractional quantum oscillator
• Superconducting piezoelectric effect
• Investigation of Room Temperature Ferroelectricity and Ferrimagnetism in Multiferroic AlxFe2-xO3 Epitaxial Thin Films
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• Exchange striction driven magnetodielectric effect and potential photovoltaic effect in polar CaOFeS
• Origin of nonlinear magnetoelectric response in rare-earth orthoferrite perovskite oxides
• Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures
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• Nonvolatile Magnonics in Bilayer Magnetic Insulators
• Lattice and magnetic dynamics in polar chiral incommensurate antiferromagnet Ni${}_2$InSbO${}_6$
• Sign change of polarization rotation under either time or space inversion in magnetoelectric YbAl3(BO3)4
• Spin-1/2 XY chain magnetoelectric: effect of zigzag geometry
• Enhanced magnetoelectric coupling in two-dimensional hybrid multiferroic heterostructures
• Magnetic excitations in quasi-one dimensional helimagnets: Magnon decays and in uence of the inter-chain interactions
• Collinear Orbital Antiferromagnetic Order and Magnetoelectricity in Quasi-2D Itinerant-Electron Paramagnets, Ferromagnets and Antiferromagnets
• Magnetoelectric coupling in the mixed erythrosiderite [(NH${}_4$)${}_{1-x}$K${}_x$]${}_2$[FeCl${}_5$(H${}_2$O)]
• Perspective on 2D perovskite ferroelectrics and multiferroics
• Magnetic anisotropy and exchange paths for octa- and tetrahedrally coordinated Mn${}^{2+}$ ions in the honeycomb multiferroic Mn${}_2$Mo${}_3$O${}_8$
• Magnetoelectricity in two-dimensional materials
• Negative piezoelectricity in quasi-two/one-dimensional ferroelectrics
• Robust intralayer antiferromagnetism and tricriticality in a van der Waals compound: VBr3 case
• Spin-Wave and Electromagnon Dispersions in Multiferroic MnWO4 as Observed by Neutron Spectroscopy: Isotropic Heisenberg Exchange versus Anisotropic Dzyaloshinskii-Moriya Interaction
• New iron-based multiferroics with improper ferroelectricity
• Ferroelasticity tunable altermagnets
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• Theory and phase-field simulations on electrical control of spin cycloids in a multiferroic
• Magnetic properties of a highly ordered single crystal of the layered perovskite YBaCuFe${}_{0.95}$Mn${}_{0.05}$O${}_5$
• Dzyaloshinskii-Moriya interaction torques and domain wall dynamics in van der Waals heterostructures
• Influence of $XY$ anisotropy on a magnetoelectric effect in spin-1/2 $XY$ chain in a transverse magnetic field
• Hexagonal Sr0.6Ba0.4MnO3: Spin and Dipole Coupling via Local Structure
• High-field magnetoelectric coupling and successive magnetic transitions in Mn-doped polar antiferromagnet Ni3TeO6
• Intrinsic Dipole Hall effect in twisted MoTe${}_2$: magnetoelectricity and contact-free signatures of topological transitions
• Visualizing quantum phenomena at complex oxide interfaces: an atomic view from scanning transmission electron microscopy
• Oxidation tuning of ferroic transitions in Gd${}_2$C monolayer
• Disorder-induced excitation continuum in a spin-1/2 cobaltate on a triangular lattice
• Neutron diffraction in MnSb2O6: Magnetic and structural domains in a helicoidal polar magnet with coupled chiralities
• Phase diagram of multiferroic KCu${}_3$As${}_2$O${}_7$(OD)${}_3$
• Block antiferromagnetism and possible ferroelectricity in KFe${}_2$Se${}_2$
• Spin glass state and enhanced spiral phase in doped delafossite oxide CuCrO2
• Microscopic model for magneto-electric coupling through lattice distortions
• Selection rules and dynamic magnetoelectric effect of the spin waves in multiferroic BiFeO${}_3$
• Double-leaf Riemann surface topological converse magnetoelectricity
• Mechanically and electrically switchable triferroic altermagnet in a pentagonal FeO2 monolayer
• Magnetic structure of the noncentrosymmetric magnet Sr2MnSi2O7 through irreducible representation and magnetic space group analyses
• Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• The microscopic origin of the spin-induced linear and quadratic magnetoelectric effects
• Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
• Phase competition in frustrated anisotropic antiferromagnet in strong magnetic field
• First-principles demonstration of Roman surface topological multiferroicity
• Modifying the magnetoelectric coupling in TbMnO${}_3$ by low-level Fe${}^{3+}$ substitution
• Simple microscopic model for magneto-electric coupling in type-II antiferromagnetic multiferroics
• Landau theory description of autferroicity
• Spin-Reorientation-Driven Linear Magnetoelectric Effect in Topological Antiferromagnet Cu${}_3$TeO${}_6$
• Two-dimensional multiferroic NbPc COF with strong magnetoelectric coupling and room-temperature ferroelectricity
• Adsorption tuning of polarity and magnetism in AgCr2S4 monolayer
• Synthesis, Optical, and Magnetic Properties of Ba${}_2$Ni${}_3$F${}_{10}$ Nanowires
• Synergistic effects of rare-earth doping on the magnetic properties of orthochromates: A machine learning approach
• Local atomic and magnetic structure of multiferroic (Sr,Ba)(Mn,Ti)O${}_3$
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
• Chiral magnetic phases in Moire bilayers of magnetic dipoles
• A Comprehensible Review: Magnonic Magnetoelectric Coupling in Ferroelectric/ Ferromagnetic Composites
• Antiferromagnetic to Ferrimagnetic Phase Transition and Possible Phase Coexistence in Polar Magnets (Fe${}_{1-x}$Mn${}_x$)${}_2$Mo${}_3$O${}_8$
• Electric field control of magnetism in Si3N4 gated Pt/Co/Pt heterostructures
• Observation of universal topological magnetoelectric switching in multiferroic GdMn2O5
• Magnetic-field-induced critical dynamics in magnetoelectric TbPO${}_4$
• Crystal-Field--Driven Magnetoelectric Coupling in the Non-Kramers Hexaaluminate PrMgAl11O19
• Noncollinear ferroelectric and screw-type antiferroelectric phases in a metal-free hybrid molecular crystal
• Phase transitions of the ferroelectric $({\mathrm{ND}}_4{)}_2{\mathrm{FeCl}}_5\cdot {\mathrm{D}}_2\mathrm{O}$ under a magnetic field
• Record-large magnetically driven polarization in room temperature ferromagnets Os$X_2$ monolayers
• Direct evidence for intermediate multiferroic phase in LiCuFe2(VO4)3
• Magnetoelectric torque in polar magnetic bilayers
• Magnetic and electronic properties of La${}_{3}M$O${}_7$ and possible polaron formation in hole-doped La${}_{3}M$O${}_7$ ($M$=Ru and Os)
• Topological end states in two-orbital double-exchange model for colossal magnetoresistive manganites
• Topological protection breakdown: a route to frustrated ferroelectricity
• Multiferroicity in the Presence of Exchange Bias: The Case of Spinel CoMn2O4
• Strong impact of low-level substitution of Mn by Fe on the magnetoelectric coupling in $TbMn{O}_3$
• Topological magnetoelectric response in passive magnetic devices
• Longitudinal magnetoconductivity and magnetodielectric effect in bilayer graphene
• Autferroicity: concept, candidates, and applications
• Time-dependent exchange creates the time-frustrated state of matter
• Canting angle behavior of magnetic moments in Y- substituted Tb2BaNiO5 and its relevance for magnetoelectric coupling
• Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene
• Field-induced transitions from incommensurate to commensurate phases in helical antiferromagnets