Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds

Abstract

Violation of parity symmetry gives rise to various physical phenomena such as nonlinear transport and cross-correlated responses. In particular, the nonlinear conductivity has been attracting a lot of attentions in spin-orbit coupled semiconductors, superconductors, topological materials, and so on. In this paper we present theoretical study of the nonlinear conductivity in odd-parity magnetic multipole ordered systems whose $\mathcal{P}\mathcal{T}$-symmetry is essentially distinct from the previously studied acentric systems. Combining microscopic formulation and symmetry analysis, we classify the nonlinear responses in the $\mathcal{P}\mathcal{T}$-symmetric systems as well as $\mathcal{T}$-symmetric (non-magnetic) systems, and uncover nonlinear conductivity unique to the odd-parity magnetic multipole systems. A giant nonlinear Hall effect, nematicity-assisted dichroism and magnetically-induced Berry curvature dipole effect are proposed and demonstrated in a model for Mn-based magnets.

arXiv comment19 pages, 8 figures, 2 tables

References in corpus (46)

• Anomalous Hall effect
• Antiferromagnetic spintronics
• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Hidden spin polarization in inversion-symmetric bulk crystals
• Evidence for reversible control of magnetization in a ferromagnetic material via spin-orbit magnetic field
• Proper Scaling of the Anomalous Hall Effect
• Relativistic Neel-order fields induced by electrical current in antiferromagnets
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Electronic and magnetic properties of single-layer MPX${}_3$ metal phosphorous trichalcogenides
• Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Confinement-induced Berry phase and helicity-dependent photocurrents
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
• Evidence of an odd-parity hidden order in a spin-orbit coupled correlated iridate
• Spin-orbit torques in locally and globally non-centrosymmetric crystals: Antiferromagnets and ferromagnets
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Nature of the Magnetic Order in BaMn2As2
• Electrically induced and detected Néel vector reversal in a collinear antiferromagnet
• Magnetic Exchange Interactions in BaMn2As2: A Case Study of the J1-J2-Jc Heisenberg Model
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Toroidal order in metals without local inversion symmetry
• A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd${}_2$Re${}_2$O${}_7$
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Magnetic, Transport, and Thermal Properties of Single Crystals of the Layered Arsenide BaMn2As2
• Gauge covariances and nonlinear optical responses
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
• Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
• Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule
• Nonlinear optical responses of crystalline systems: Results from a velocity gauge analysis
• Magnetic hexadecapole order and magnetopiezoelectric metal in Ba${}_{1-x}$K${}_x$Mn${}_2$As${}_2$
• Ba{1-x}KxMn2As2: An Antiferromagnetic Local-Moment Metal
• Asymmetric Magnon Excitation by Spontaneous Toroidal Ordering
• Superconductivity in magnetic multipole states
• Nonreciprocal current from electron interactions in noncentrosymmetric crystals: roles of time reversal symmetry and dissipation
• Symmetry analysis of current-induced switching of antiferromagnets
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Persistence of local-moment antiferromagnetic order in Ba(1-x)KxMn2As2
• Observation of Magnetopiezoelectric Effect in Antiferromagnetic Metal EuMnBi2
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• ARPES observation of Mn-pnictide hybridization and negligible band structure renormalization in BaMn${}_2$As${}_2$ and BaMn${}_2$Sb${}_2$
• Scaling Theory of Quantum Ratchet

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• Nonlinear Hall Effects
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Systematic analysis method for nonlinear response tensors
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• 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
• Role of hidden spin polarization in non-reciprocal transport of antiferromagnets
• Anomalous skew-scattering nonlinear Hall effect and chiral photocurrents in {\it PT}-symmetric antiferromagnets
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• Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets
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• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Microscopic mechanism for intrinsic nonlinear anomalous Hall conductivity in noncollinear antiferromagnetic metals
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• Equivalence of semiclassical and response theories for second-order nonlinear ac Hall effects
• Quadratic Optical Responses in a Chiral Magnet
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Generation of modulated magnetic structure based on cluster multipole: Application to $\alpha$-Mn and Co$M_3$S${}_6$
• Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a $d$-Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
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• Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector
• Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce${}_3$TiBi${}_5$
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• Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
• Analysis of photo-induced chirality and magnetic toroidal moment based on Floquet formalism
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Electrical control of intrinsic nonlinear Hall effect in antiferromagnetic topological insulator sandwiches
• Bulk photovoltaic effect in antiferromagnet: Role of collective spin dynamics
• Nonlinear Hall effects with an exceptional ring
• Finite-$q$ antiferrotoroidal and ferritoroidal order in a distorted kagome structure
• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$
• Light-induced reorientation transition in an antiferromagnetic semiconductor
• Two-Terminal Electrical Detection of the Néel Vector via Longitudinal Antiferromagnetic Nonreciprocal Transport
• Nonlinear Hall effect driven by spin-charge-coupled motive force
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• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Prediction of a layer nonlinear Hall effect in bilayer nonmagnetic or antiferromagnetic systems
• Theory of unidirectional magnetoresistance and nonlinear Hall effect
• Identifying geometric third-order nonlinear transport in disordered materials
• Dissipation-Shaped Quantum Geometry in Nonlinear Transport