Symmetry Analysis of Spin-Dependent Electric Dipole and Its Application to Magnetoelectric Effects

Abstract

Spin-dependent electric dipole operators are investigated group-theoretically for the emergence of an electric dipole induced by a single spin or by two spins, where the spin dependences are completely classified up to the quadratic order. For a single spin, a product of spin operators behaves as an even-parity electric quadrupole operator, which differs from an odd-parity electric dipole. The lack of the inversion symmetry allows the even- and odd-parity mixing, which leads to the electric dipole described by the electric quadruple operators. Point-group tables are given for classification of the possible spin-dependent electric dipoles and for the qualitative analysis of multiferroic properties, such as an emergent electric dipole moment coexisting with a magnetic moment, electromagnon excitation, and directional dichroism. The results can be applied to a magnetic ion in crystals or embedded in molecules at a site without the inversion symmetry. In the presence of an inversion symmetry, the electric dipole does not appear for a single spin. This is not the case for the electric dipole induced by two spins with antisymmetric spin dependence, which is known as vector spin chirality, in the presence of the inversion center between the two spins. In the absence of the inversion center, symmetric spin-dependent electric dipoles are also relevant. The detailed analysis of various symmetries of two-spin states is applied to spin dimer systems and the related multiferroic properties.

arXiv comment28 pages, 9 figures

References in corpus (27)

• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Dual nature of improper ferroelectricity in a magnetoelectric multiferroic
• Spin-polarization coupling in multiferroic transition-metal oxides
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Ferroelectricity induced by spin-dependent metal-ligand hybridization in Ba${}_2$CoGe${}_2$O${}_7$
• Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
• Bond electronic polarization induced by spin
• Giant directional dichroism of terahertz light in resonance with magnetic excitations of the multiferroic oxide BaCo${}_2$Ge${}_2$O${}_7$
• Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of TlCuCl3
• Observation of Field-Induced Transverse Néel Ordering in the Spin Gap System TlCuCl${}_3$
• Four-coloured Spin-wave Excitations in Multiferroic Materials
• Canted-spin-caused electric dipoles: a local symmetry theory
• Optical diode effect in the room-temperature multiferroic BiFeO$_3
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Spin-stretching modes in anisotropic magnets: spin-wave excitations in the multiferroic Ba2CoGe2O7
• Theory of magnetoelectric resonance in two-dimensional $S=3/2$ antiferromagnet $\mathrm{B}{\mathrm{a}}_2\mathrm{CoG}{\mathrm{e}}_2{\mathrm{O}}_7$ via spin-dependent metal-ligand hybridization mechanism
• Magnetodielectric detection of magnetic quadrupole order in Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$ with Cu${}_4$O${}_{12}$ square cupolas
• Spin nematic interaction in multiferroic compound Ba${}_2$CoGe${}_2$O${}_7$
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Multiboson spin-wave theory for Ba2CoGe2O7, a spin-3/2 easy-plane Neel antiferromagnet with strong single-ion anisotropy
• Pressure-Induced Successive Magnetic Phase Transitions in the Spin Gap System TlCuCl${}_3$
• Multiferroic properties of an åkermanite Sr${}_2$CoSi${}_2$O${}_7$ single crystal in high magnetic fields
• Zero and finite temperature mean field study of magnetic field induced electric polarization in Ba2CoGe2O7

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