Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{P}\mathcal{T}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains

Abstract

A magnetic toroidal moment is a fundamental electronic degree of freedom in the absence of both spatial inversion and time-reversal symmetries and gives rise to novel multiferroic and transport properties. We elucidate essential model parameters of the nonlinear transport in the space-time ($\mathcal{P}\mathcal{T}$) symmetric collinear antiferromagnetic metals accompanying a magnetic toroidal moment. By analyzing the longitudinal and transverse components of the second-order nonlinear conductivity on a two-dimensionally stacked zigzag chain based on the nonlinear Kubo formula, we show that an effective coupling between the magnetic toroidal moment and the antisymmetric spin-orbit interaction is an essential source of the nonlinear conductivity. Moreover, we find that the nonreciprocal longitudinal current and nonlinear transverse current in a multi-band system are largely enhanced just below the transition temperature of the antiferromagnetic ordering. We also discuss the relevance of the nonlinear conductivity to the linear magnetoelectric coefficient and conductivity. Our result serves as a guide for exploring microscopic essence and clarifying the parameter dependence of the nonlinear conductive phenomena in ferrotoroidal metals.

11 pages, 5 figures

References in corpus (19)

• Towards a microscopic theory of toroidal moments in bulk periodic crystals
• Toroidal order in metals without local inversion symmetry
• Anomalous Hall effect in $\kappa$-type organic antiferromagnets
• Multipole expansion for magnetic structures: A generation scheme for symmetry-adapted orthonormal basis set in crystallographic point group
• Essential role of anisotropic magnetic dipole in anomalous Hall effect
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• A variable temperature study of the crystal and magnetic structures of the giant magnetoresistant materials LnMnAsO (Ln = La, Nd)
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Spontaneous multipole ordering by local parity mixing
• Manipulating magnetoelectric effect -- Essence learned from Co${}_4$Nb${}_2$O${}_9$
• Local moments and symmetry breaking in metallic PrMnSbO
• Room temperature antiferromagnetic order in superconducting X_yFe_{2-x}Se_ 2, (X= Rb, K): a powder neutron diffraction study
• Magnetoelectric Effect in the Antiferromagnetic Ordered State of Ce${}_3$TiBi${}_5$ with Ce Zig-Zag Chains
• Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
• Spin reorientation in TlFe1.6Se2 with complete vacancy ordering
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Quantum Anomalous Hall Effect through Canted Antiferromagnetism
• Atomic-Scale Magnetic Toroidal Dipole under Odd-Parity Hybridization
• Toroidal order in a partially disordered state on a layered triangular lattice: implication to UNi4B

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• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Multifarious skyrmion phases on a trilayer triangular lattice
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• Cluster Toroidal Multipoles Formed by Electric-Quadrupole and Magnetic-Octupole Trimers: A Possible Scenario for Hidden Orders in Ca${}_5$Ir${}_3$O${}_{12}$
• Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
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• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Unconventional Hall effect and magnetoresistance induced by metallic ferroaxial ordering
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• Nonlinear Piezomagnetic Effects in $g$-wave Altermagnets
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Finite-$q$ antiferrotoroidal and ferritoroidal order in a distorted kagome structure
• Uniform and Staggered electric axial moment in zigzag chain
• Problem of nonlinear conductivity within relaxation time approximation in noncentrosymmetric insulators
• Nonlinear frequency-asymmetric optical response in chiral systems
• Stacking-dependent nonreciprocal transport in magnetic skyrmions
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States