Cluster multipole theory for anomalous Hall effect in antiferromagnets

2016/11/30 by Michi-To Suzuki, Michi‐To Suzuki, Takashi Koretsune +2 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Cluster (spacecraft) #Condensed matter physics #Dipole #Ferromagnetism #Geometry #Hall effect #Magnetic field #Magnetic moment #Magnetic properties of thin films #Magnetization #Mathematics #Multipole expansion #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Symmetry (geometry) #cond-mat.mtrl-sci #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.95.094406

published as Phys. Rev. B 95, 094406 (2017) · 12 pages, 11 figures

arxiv created 2017/02/14 · openalex publication_date 2017/03/07 · arxiv updated 2017/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Here, the authors discover a missing link between antiferromagnetism and the Hall effect by introducing a theoretical framework based on a novel concept, cluster multipole (CMP), to characterize macroscopic magnetization of antiferromagnets. Whereas the anomalous Hall effect (AHE) is usually observed in ferromagnets and explained as an outcome of the macroscopic dipole magnetization, CMP theory reveals that a certain type of antiferromagnetic (AFM) structure induces the AHE despite no net magnetization. The new order parameters enable us to characterize the AHE in the AFM states and explain the AHE in the AFM states of Mn₃Ir and Mn₃Z (Z = Sn, Ge), for which the large AHE has recently been studied. Furthermore, the theory can deal with the AHE in antiferromagnets on an equal footing with that in simple ferromagnets. The authors compare the AHE in antiferromagnetic Mn₃Z Mn₃Z and ferromagnetic bcc Fe based on first-principles calculations and find out their similarity with respect to the CMP moments. The theory brings on a significant step forward in our current understanding of anomalous current in condensed matter, and the obtained knowledge could be crucial in the future for the design of antiferromagnetic devices, e.g., with possible spintronics-related applications.

Citations

• Chiral degeneracies and Fermi-surface Chern numbers in bcc Fe
• Hall Effect in Ferromagnetics
• Generalized Gradient Approximation Made Simple
• Anomalous Hall effect
• Anomalous Hall effect in thet2gorbital kagome lattice due to noncollinearity: Significance of the orbital Aharonov-Bohm effect
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Topological Nature of Anomalous Hall Effect in Ferromagnets
• QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Berry phase effects on electronic properties
• Large anomalous Hall effect driven by a nonvanishing Berry curvature in the noncolinear antiferromagnet Mn 3 Ge

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• Augmented Magnetic Octupole in Kagomé 120-degree Antiferromagnets Detectable via X-ray Magnetic Circular Dichroism
• Presence of X-Ray Magnetic Circular Dichroism Signal for Zero-Magnetization Antiferromagnetic State
• Magnetic field induced topological semimetals near the quantum critical point of pyrochlore iridates