Magnetic parity violation and parity-time-reversal-symmetric magnets

Abstract

Parity-time-reversal symmetry ($\mathcal{P}\mathcal{T}$ symmetry), a symmetry for the combined operations of space inversion ($\mathcal{P}$) and time reversal ($\mathcal{T}$), is a fundamental concept of physics and characterizes the functionality of materials as well as $\mathcal{P}$ and $\mathcal{T}$ symmetries. In particular, the $\mathcal{P}\mathcal{T}$-symmetric systems can be found in the centrosymmetric crystals undergoing the parity-violating magnetic order which we call the odd-parity magnetic multipole order. While this spontaneous order leaves $\mathcal{P}\mathcal{T}$ symmetry intact, the simultaneous violation of $\mathcal{P}$ and $\mathcal{T}$ symmetries gives rise to various emergent responses that are qualitatively different from those allowed by the nonmagnetic $\mathcal{P}$-symmetry breaking or by the ferromagnetic order. In this review, we introduce candidates hosting the intriguing spontaneous order and overview the characteristic physical responses. Various off-diagonal and/or nonreciprocal responses are identified, which are closely related to the unusual electronic structures such as hidden spin-momentum locking and asymmetric band dispersion.

Invited topical review in Journal of Physics: Condensed Matter, 55 pages

References in corpus (94)

• Writing and Reading antiferromagnetic Mn${}_2$Au: Néel spin-orbit torques and large anisotropic magnetoresistance
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Nonlinear Hall Effects
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Purely Antiferromagnetic Magnetoelectric Random Access Memory
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Spin-orbit coupling induced anisotropy effects in bimetallic antiferromagnets: A route towards antiferromagnetic spintronics
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Quantum Hall effect in a bulk antiferromagnet EuMnBi${}_2$ with magnetically confined two-dimensional Dirac fermions
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Large Unidirectional Magnetoresistance in a Magnetic Topological Insulator
• Imaging current-induced switching of antiferromagnetic domains in CuMnAs
• Unconventional Superconductivity in UTe2
• Topology and geometry under the nonlinear electromagnetic spotlight
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Optical determination of the Neel vector in a CuMnAs thin-film antiferromagnet
• Photocurrent as a multi-physics diagnostic of quantum materials
• Toroidal order in metals without local inversion symmetry
• Optical detection and manipulation of spontaneous gyrotropic electronic order in a transition-metal dichalcogenide semimetal
• Quantum frequency doubling in the topological insulator Bi2Se3
• Quantum geometry induced second harmonic generation
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Selective probing of hidden spin-polarized states in inversion-symmetric bulk MoS2
• Tunable Layer Circular Photogalvanic Effect in Twisted Bilayers
• Uncovering and tailoring hidden Rashba spin-orbit splitting in centrosymmetric crystals
• Superconductivity and Local Inversion-Symmetry Breaking
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Shift charge and spin photocurrents in Dirac surface states of topological insulator
• Search and design of nonmagnetic centrosymmetric layered crystals with large local spin polarization
• Nonlinear spin Hall effect in $\mathcal{P}\mathcal{T}$-symmetric collinear magnets
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Observation of second-harmonic generation induced by pure spin currents
• Systematic analysis method for nonlinear response tensors
• Odd-parity superconductivity in bilayer transition metal dichalcogenides
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• Observation of antiferromagnetic order as odd-parity multipoles inside the superconducting phase in CeRh${}_2$As${}_2$
• 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
• Second-order nonlinear optical effects of spin currents
• Anomalous skew-scattering nonlinear Hall effect and chiral photocurrents in {\it PT}-symmetric antiferromagnets
• Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
• Symmetry analysis of current-induced switching of antiferromagnets
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Nonreciprocal optical response in parity-breaking superconductors
• Anomalous Hydrodynamic Transport in Interacting Noncentrosymmetric Metals
• Bulk Photovoltaic Effect Driven by Collective Excitations in a Correlated Insulator
• Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
• Theory of electric, magnetic, and toroidal polarizations in crystalline solids with applications to hexagonal lonsdaleite and cubic diamond
• The Berry dipole photovoltaic demon and the thermodynamics of photo-current generation within the optical gap of metals
• Two-dimensional XY-type Magnetic Properties of Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• On the energy conversion efficiency of the bulk photovoltaic effect
• Non-Collinear Spin Current for Switching of Chiral Magnetic Textures
• Observation of spin-momentum-layer locking in centrosymmetric BiOI
• Quantum-geometry-induced anapole superconductivity
• The Fermi-Dirac staircase occupation of Floquet bands and current rectification inside the optical gap of metals: a rigorous perspective
• Electric octupole order in bilayer Rashba system
• Photovoltaic effect by soft phonon excitation
• Spin-orbit-enhanced magnetic surface second-harmonic generation in Sr${}_2$IrO${}_4$
• Nonlinear optical responses in noncentrosymmetric superconductors
• Thermodynamic approach to electric quadrupole moments
• Optical read-out of the Néel vector in metallic antiferromagnet Mn${}_2$Au
• Nonreciprocal electrical transport in multiferroic semiconductor (Ge,Mn)Te
• Shift current from electromagnon excitations in multiferroics
• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Spin accumulation without spin current
• Photocurrent response in parity-time symmetric current-ordered states
• Nonreciprocal Meissner response in parity-mixed superconductors
• Electronic scattering off a magnetic hopfion
• Piezoelectric effect and diode effect in anapole and monopole superconductors
• The Floquet Fermi Liquid
• Direct Observation of Antiferromagnetic Parity Violation in the Electronic Structure of Mn${}_2$Au
• Effects of relaxation on photovoltaic effect and possibility of photocurrent within transparent region
• Raman Photogalvanic Effect: photocurrent at inelastic light scattering
• Nonreciprocal electron hydrodynamics under magnetic fields: applications to nonreciprocal surface magnetoplasmons
• Thermodynamic electric quadrupole moments of nematic phases from first-principles calculation
• Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model
• Laser-induced charge and spin photocurrents at BiAg${}_2$ surface: a first principles benchmark
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Piezo-superconductivity: new effects in non-centrosymmetric superconductors
• High-field Studies on Layered Magnetic and Polar Dirac Metals
• Bulk photovoltaic effect in antiferromagnet: Role of collective spin dynamics
• Current-induced quasiparticle magnetic multipole moments
• Terahertz spin ratchet effect in magnetic metamaterials
• Toroidal Scattering and Nonreciprocal Transport by Magnetic Impurities
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Surface resistance and amplitude mode under uniform and static external field in conventional superconductors
• Direct current in a stirred optical lattice

Cited by in corpus (4)

• Multiferroic collinear antiferromagnet with hidden altermagnetic split
• Surface-Dominated Quantum Metric-Induced Nonlinear Transport in the Layered Antiferromagnet CrSBr
• Symmetry analysis of cross-circular and parallel-circular Raman optical activity
• Nonrelativistic Functional Properties in Collinear Antiferromagnets Based on Multipole Representation Theory