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

Abstract

A prominent feature of $d$-wave altermagnets is the pure spin current generated in the absence of spin-orbit interactions. In the context of symmetry, there are the $s$-wave, the $p$-wave, the $d$-wave, the $f$-wave, the $g$-wave and the $i$-wave magnets. In this paper, making an analytic study of two-band Hamiltonian systems coupled with electrons, we demonstrate unexpectedly that only the $\ell$-th order nonlinear transverse spin current proportional to $E^{\ell }$ is generated in higher-wave symmetric magnets when the number of the nodes is $\ell +1$. Here $E$ is applied electric field. The nonlinear spin current is essential provided the linear spin current is absent. Indeed, only the third-order nonlinear spin current is generated in $g$-wave altermagnets, while only the fifth-order spin current is generated in $i$-wave altermagnets. In particular, only the second-order nonlinear spin current is generated in $f$-wave magnets, which leads to a perfect nonreciprocal spin current. On the other hand, there is no spin-current generation in $p$-wave magnets.

arXiv comment13 pages, 4 figures

References in corpus (42)

• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Crystal Hall effect in Collinear Antiferromagnets
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
• Broken Kramers' degeneracy in altermagnetic MnTe
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Spin current generation in organic antiferromagnets
• Tilted spin current generated by the collinear antiferromagnet RuO2
• Direct observation of altermagnetic band splitting in CrSb thin films
• Prediction of unconventional magnetism in doped FeSb2
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Large band-splitting in $g$-wave type altermagnet CrSb
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Three-dimensional mapping of the altermagnetic spin splitting in CrSb
• Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Chiral-Split Magnon in Altermagnetic MnTe
• Perovskite as a spin current generator
• Quantum geometry induced nonlinear transport in altermagnets
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Minimal Models and Transport Properties of Unconventional $p$-Wave Magnets
• Nonlinear spin Hall effect in $\mathcal{P}\mathcal{T}$-symmetric collinear magnets
• Systematic analysis method for nonlinear response tensors
• Temperature Dependence of Relativistic Valence Band Splitting Induced by an Altermagnetic Phase Transition
• Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Unifying semiclassics and quantum perturbation theory at nonlinear order
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator
• Tunable spin and orbital Edelstein effect at (111) LaAlO${}_3$/SrTiO${}_3$ interface
• Topological insulators and superconductors based on $p$-wave magnets,electrical control and detection of a domain wall

Cited by in corpus (33)

• Superconducting phenomena in systems with unconventional magnets
• Metallic $p$-wave magnet with commensurate spin helix
• Classification of pair symmetries in superconductors with unconventional magnetism
• Altermagnetic splitting of magnons in hematite ($\alpha$-Fe${}_2$O${}_3$)
• Coexistence of $p$-wave magnetism and superconductivity
• Bulk photovoltaic effects in altermagnets
• Floquet engineering spin triplet states in unconventional magnets
• Out-of-plane Edelstein effects: Electric-field induced magnetization in $p$-wave magnets
• Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
• Sliding Ferroelectricity Induced and Switched Altermagnetism in GaSe-VPSe3-GaSe Sandwiched Heterostructure with Strong Magnetoelectric Effect
• Andreev bound states and supercurrent in an unconventional superconductor-altermagnetic Josephson junction
• Light-induced Odd-parity Magnetism in Conventional Collinear Antiferromagnets
• Quantum geometry and elliptic optical dichroism in $p$-wave magnets
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
• Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets
• Altermagnetism, ARPES, symmetry, non-relativistic band splitting
• The odd-parity altermagnetism: A spin group study
• Zeeman-type spin splittings in strained d-wave altermagnets
• Marginal Metals and Kosterlitz-Thouless Type Phase Transition in Disordered Altermagnets
• Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
• Tuning spin currents in collinear antiferromagnets and altermagnets
• Altermagnetic Metal-Organic Frameworks
• Analysis of Spin Current Generation by Elastic Waves in $f$-wave Altermagnets
• Nonrelativistic Functional Properties in Collinear Antiferromagnets Based on Multipole Representation Theory
• Nonlinear spin-Seebeck diode in $f$-wave magnets, third-order spin-Nernst effects in $g$-wave magnets and spin-Nernst effects in $i$-wave altermagnets
• Antiferroaxial altermagnetism
• Fourth-order and six-order nonlinear spin current rectifier in three-dimensional $h$-wave and $j$-wave odd-parity magnet
• Time reversal reserved spin valve and spin transistor based on unconventional $p$-wave magnets
• Hyperspin Altermagnets
• Topological bands in metals
• Field-free Superconducting Diode Effect and Topological Fulde-Ferrell Superconductivity in Altermagnetic Shiba Chains