Activation of anomalous Hall effect and orbital magnetization by domain walls in altermagnets
arXiv:2505.15894 · doi:10.1103/vzmh-mxlz
Abstract
Altermagnets are an emerging class of unconventional antiferromagnets, characterized by a Néel ordering that does not break the translation symmetry of the underlying lattice. Depending on the orientation of the Néel vector, the anomalous Hall effect (AHE) may or may not exist. In the so-called pure altermagnets, AHE is forbidden by the magnetic symmetry. Here, we demonstrate that in pure altermagnets, the domain walls can lift the symmetry constraints, thereby activating the AHE and orbital magnetization. Taking a representative example of a rutile-lattice tight-binding minimal model in slab geometry, we use the linear response theory to demonstrate the emergence of the domain wall AHE, finding that it is closely related with the orbital magnetization, while the spin magnetization does not play a significant role. Using Landau theory, we argue that while for a random arrangement of domain walls, the contributions from the individual domain walls will cancel one another, an external magnetic field will favor domain-wall arrangements with specific chirality giving rise to a net AHE signal. Using group theory, we discuss how these findings can be generalized straightforwardly to certain other classes of altermagnets. Our work reveals a crucial role of the domain walls in the understanding of the Hall transport and orbital magnetism of altermagnets.
arXiv comment14 pages, 13 figures. Published with open access in Phys. Rev. B
References in corpus (36)
- Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
- Crystal Hall effect in Collinear Antiferromagnets
- Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
- Berry phase correction to electron density of states in solids
- Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
- Orbital magnetization in periodic insulators
- Spin current generation in organic antiferromagnets
- Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
- Antiferromagnetism in RuO as -wave Pomeranchuk instability
- Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
- Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
- Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
- Crystal Thermal Transport in Altermagnetic RuO2
- Towards a microscopic theory of toroidal moments in bulk periodic crystals
- Anomalous Antiferromagnetism in Metallic RuO Determined by Resonant X-ray Scattering
- Landau Theory of Altermagnetism
- Magnetic octupoles as the order parameter for unconventional antiferromagnetism
- Topological transition from nodal to nodeless Zeeman splitting in altermagnets
- Quantum geometry induced nonlinear transport in altermagnets
- Minimal Models for Altermagnetism
- Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
- Coexistence of Anomalous Hall Effect and Weak Net Magnetization in Collinear Antiferromagnet MnTe
- The chiral Hall effect of magnetic skyrmions from a cyclic cohomology approach
- Structure, control, and dynamics of altermagnetic textures
- Dynamic paramagnon-polarons in altermagnets
- Tuning the nontrivial topological properties of the Weyl semimetal CeAlSi
- Topological features in the ferromagnetic Weyl semimetal CeAlSi: Role of domain walls
- Fluctuation induced piezomagnetism in local moment altermagnets
- Spin and Orbital Magnetism by Light in Rutile Altermagnets
- Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
- Collinear Altermagnets and their Landau Theories
- Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a -Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
- Light-induced charge and spin Hall currents in materials with symmetry
- Signatures of hidden octupolar order from nonlinear Hall effects
- Domain wall skew scattering in ferromagnetic Weyl metals
- Antichiral surface states and Su-Schrieffer-Heeger physics in rutile altermagnets