Spontaneous Anomalous Hall Effect in Two-Dimensional Altermagnets

Abstract

The anomalous Hall effect (AHE) is an efficient tool for detecting the Néel vector in collinear compensated magnets with spin-split bands, known as altermagnets (AMs). Here, we establish design principles for obtaining non-zero anomalous Hall conductivity in the recently proposed two-dimensional (2D) AMs using spin and magnetic group symmetry analysis. We show that only two of the seven nontrivial spin layer groups exhibit an unconventional in-plane AHE in which the Néel vector lies within the plane of the Hall current. Through first-principles simulations on bilayers of MnPSe${}_3$ and MnSe, we demonstrate the validity of our group theoretic framework for obtaining AHE with $d$ and $i$-wave altermagnetic orders, depending on the stacking of the bilayers. We find that the spin group symmetry is successful in determining the linear and cubic dependence of anomalous Hall conductivity in Néel vector space, although AHE is a relativistic effect. This work shows that the AHE in 2D AMs can probe the altermagnetic order and Néel vector reversal, thereby facilitating the miniaturization of altermagnetic spintronics.

References in corpus (37)

• Graphene Spintronics
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Broken Kramers' degeneracy in altermagnetic MnTe
• Direct observation of altermagnetic band splitting in CrSb thin films
• Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor
• Nonlinear Hall Effects
• Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Imaging the Néel vector switching in the monolayer antiferromagnet MnPSe${}_3$ with strain-controlled Ising order
• High performance Wannier interpolation of Berry curvature and related quantities: WannierBerri code
• Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism
• Gate-controllable magneto-optic Kerr effect in layered collinear antiferromagnets
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Two-dimensional altermagnets from high throughput computational screening: symmetry requirements, chiral magnons and spin-orbit effects
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Description of two-dimensional altermagnetism: Categorization using spin group theory
• Coexistence of Anomalous Hall Effect and Weak Net Magnetization in Collinear Antiferromagnet MnTe
• Higher-Order Nonlinear Anomalous Hall Effects Induced by Berry Curvature Multipoles
• Intrinsic Layer-Polarized Anomalous Hall Effect in Bilayer MnBi2Te4
• Room temperature two-dimensional antiferromagnetic Weyl semimetal CrO with giant spin-splitting and spin-momentum locked transport
• Bilayer stacking A-type altermagnet: A general approach to generating two-dimensional altermagnetism
• Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF${}_4$
• Non-relativistic spin splitting in compensated magnets that are not altermagnets
• Switchable anomalous Hall effects in polar-stacked 2D antiferromagnet MnBi2Te4
• Intrinsic Nonlinear Hall Detection of the Néel Vector for Two-Dimensional Antiferromagnetic Spintronics
• Strong influence of non-magnetic ligands on the momentum dependent spin splitting in antiferromagnets
• Probing the uniaxial strain-dependent valley drift and Berry curvature in monolayer MoSi${}_2$N${}_4$
• Spin Torque Generated by Valley Hall Effect in WSe2
• Kagome KMn${}_3$Sb${}_5$ metal: Magnetism, lattice dynamics, and anomalous Hall conductivity
• Exploring the interfacial coupling between graphene and the antiferromagnetic insulator MnPSe${}_3$

Cited by in corpus (9)

• Dominant orbital magnetization in the prototypical altermagnet MnTe
• Engineering Altermagnetism via Layer Shifts and Spin Order in Bilayer MnPS${}_3$
• Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
• Relativistic Spin-momentum locking in altermagnets
• Tuning spin currents in collinear antiferromagnets and altermagnets
• Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
• Anomalous Hall effect from nonlinear magnetoelectric coupling
• Relativistic spin-momentum locking in ferromagnets
• Interface controlled Berry phase and anisotropic spin-charge conversion in altermagnet-topological insulator bilayers