Anomalous-Hall Neel textures in altermagnetic materials

Abstract

Recently, the altermagnets, a new kind of collinear antiferromagnet with nearly zero net magnetization and momentum-dependent spin-splitting of bands, have sparked great interest. Despite simple magnetic structures, these altermagnets exhibit intriguing and intricate dependence of anomalous Hall effect (AHE) on the Néel vector, in contrast to the conventional perpendicular configuration of Hall current with magnetization in ferromagnets. However, the fundamental relationship between the AHE and the Néel vector remains largely elusive. Here, we reveal all the unconventional anomalous Hall textures in the Néel vector space, dubbed anomalous-Hall Néel textures (AHNTs) for altermagnets. Specifically, we identify 10 types across four categories of AHNTs for all altermagnets. Notably, we find that AHNTs resemble the known spin textures in momentum space, and further reveal their symmetry origin. Meanwhile, we examine our key discoveries in prototypical altermagnets. Our work offers a thorough understanding of AHE in altermagnets and a complete and pictorial classification of altermagnets based on the geometry of response functions.

References in corpus (38)

• 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
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Prediction of unconventional magnetism in doped FeSb2
• Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Observation of plaid-like spin splitting in a noncoplanar antiferromagnet
• Crystal Thermal Transport in Altermagnetic RuO2
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• dc Josephson Effect in Altermagnets
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Finite-momentum Cooper pairing in proximitized altermagnets
• Landau Theory of Altermagnetism
• X-ray Magnetic Circular Dichroism in Altermagnetic $\alpha$-MnTe
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Quantum geometry induced nonlinear transport in altermagnets
• Dynamic generation of spin orbit coupling
• Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena
• Electrically Controllable Crystal Chirality Magneto-Optical Effects in Collinear Antiferromagnets
• All-electrical switching of a topological non-collinear antiferromagnet at room temperature
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• The different shapes of spin textures as a journey through Brillouin zone chiral and polar symmetries
• Essential role of anisotropic magnetic dipole in anomalous Hall effect
• Non-relativistic spin splitting in compensated magnets that are not altermagnets
• In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials
• Structure, control, and dynamics of altermagnetic textures
• Comparing the anomalous Hall effect and the magneto-optical Kerr effect through antiferromagnetic phase transitions in Mn${}_3$Sn
• Anomalous Hall effect in antiferromagnetic perovskites
• Electrical Detection of Ferroelectric-like Metals through Nonlinear Hall Effect
• Large intrinsic anomalous Hall effect in both Nb${}_2$FeB${}_2$ and Ta${}_2$FeB${}_2$ with collinear antiferromagnetism
• Ab initio prediction of anomalous Hall effect in antiferromagnetic CaCrO${}_3$
• Classification of second harmonic generation effect in magnetically ordered materials
• Revealing the Altermagnetism in Hematite via XMCD Imaging and Anomalous Hall Electrical Transport
• Sign-reversed anomalous Nernst effect in the ferromagnetic Weyl-semimetal Fe${}_{3-x}$GeTe${}_2$: the role of Fe vacancies
• Anisotropic transport properties and topological Hall effect in the annealed kagome antiferromagnet FeGe

Cited by in corpus (4)

• Relativistic Spin-momentum locking in altermagnets
• Exploration of Altermagnetism in $\mathrm{Ru}{\mathrm{O}}_2$
• Giant octupole moment in magnetic multilayers
• Universal classes of disorder scatterings in in-plane anomalous Hall effect