Uniform and Staggered electric axial moment in zigzag chain
arXiv:2307.09686 · doi:10.1103/PhysRevB.108.094106
Abstract
We theoretically investigate electronic orderings with the electric axial moment without breakings of both spatial inversion and time-reversal symmetries in the zigzag-chain system. Especially, we elucidate the role of the local odd-parity hybridization arising from locally noncentrosymmetric lattice structures based on symmetry and microscopic model analyses. We show that the odd-parity crystalline electric field gives rise to an effective cross-product coupling between the electric dipole and electric toroidal dipole, the latter of which corresponds to the electric axial moment. As a result, the staggered component of the electric axial moment is induced by applying an external electric field, while its uniform component is induced via the appearance of staggered electric dipole ordering. We also show that uniform electric quadrupole ordering accompanies uniform electric axial moment. Furthermore, we discuss transverse magnetization as a consequence of the orderings with the uniform electric axial moment. Our results extend the scope of materials exhibiting electric axial ordering to those with locally noncentrosymmetric lattice structures.
9 pages, 6 figures
References in corpus (57)
- Dissipationless Quantum Spin Current at Room Temperature
- Cluster multipole theory for anomalous Hall effect in antiferromagnets
- Towards a microscopic theory of toroidal moments in bulk periodic crystals
- Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
- Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
- Optical Magnetoelectric Effect in Multiferroic Materials: Evidence for a Lorentz Force Acting on a Ray of Light
- Systematic {\it ab initio} study of the magnetic and electronic properties of all 3d transition metal linear and zigzag nanowires
- Observation of a ferro-rotational order coupled with second-order nonlinear optical fields
- Anomalous Hall effect in -type organic antiferromagnets
- Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena
- Unconventional spin Hall effects in nonmagnetic solids
- Superconductivity and Local Inversion-Symmetry Breaking
- Possible pairing symmetries in SrPtAs with a local lack of inversion center
- Complete Multipole Basis Set for Single-Centered Electron Systems
- Essential role of anisotropic magnetic dipole in anomalous Hall effect
- Emergent spin-valley-orbital physics by spontaneous parity breaking
- Nonlinear spin Hall effect in -symmetric collinear magnets
- Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
- Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
- Spontaneous multipole ordering by local parity mixing
- Systematic analysis method for nonlinear response tensors
- Topological crystalline superconductivity in locally noncentrosymmetric CeRhAs
- Manipulating magnetoelectric effect -- Essence learned from CoNbO
- Analysis of model parameter dependences on the second-order nonlinear conductivity in -symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains
- Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: implication to 5 transition metal oxides OsO ( K, Rb, and Cs)
- Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
- Permutable SOS (Symmetry Operational Similarity)
- Electric Ferro-Axial Moment as Nanometric Rotator and Source of Longitudinal Spin Current
- Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
- Anomalous Hall Effect in Orbital Kagome Lattice due to Non-collinearity:Significance of Orbital Aharonov-Bohm Effect
- Nonlinear nonreciprocal transport in antiferromagnets free from spin-orbit coupling
- Electric Octupole Order in Bilayer Ruthenate SrRuO
- Symmetry-adapted modeling for molecules and crystals
- Orbital magnetoelectric effect in zigzag nanoribbons of p-band systems
- Magnetoelectric Effect in the Antiferromagnetic Ordered State of CeTiBi with Ce Zig-Zag Chains
- Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
- Multifarious skyrmion phases on a trilayer triangular lattice
- Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRhAs
- Microscopic mechanism for intrinsic nonlinear anomalous Hall conductivity in noncollinear antiferromagnetic metals
- Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure
- Antisymmetric Thermopolarization by Electric Toroidicity
- Electric octupole order in bilayer Rashba system
- Tunneling spin current in a system with spin degeneracy
- Orbital magnetoelectric effect in nanoribbons of transition metal dichalcogenides
- Cluster Toroidal Multipoles Formed by Electric-Quadrupole and Magnetic-Octupole Trimers: A Possible Scenario for Hidden Orders in CaIrO
- NQR and NMR spectra in odd-parity multipole material CeCoSi
- Essential model parameters for nonreciprocal magnons in multisublattice systems
- Electronic chiralization as an indicator of the anomalous Hall effect in unconventional magnetic systems
- Electric Quadrupolar Contributions in the Magnetic Phases of UNiB
- Linking emergent phenomena and broken symmetries through one-dimensional objects and their dot/cross products
- Nonlinear Transverse Magnetic Susceptibility under Electric Toroidal Dipole Ordering
- Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
- 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 CeTiBi
- Unconventional Hall effect and magnetoresistance induced by metallic ferroaxial ordering