Research Paper#Condensed Matter Physics, Magnetism, Altermagnets, Hall Effect🔬 ResearchAnalyzed: Jan 3, 2026 15:41
Orbital Magnetic Octupole and Anomalous Hall Effect in Solids
Published:Dec 30, 2025 14:46
•1 min read
•ArXiv
Analysis
This paper addresses a fundamental problem in condensed matter physics: understanding and quantifying orbital magnetic multipole moments, specifically the octupole, in crystalline solids. It provides a gauge-invariant expression, which is a crucial step for accurate modeling. The paper's significance lies in connecting this octupole to a novel Hall response driven by non-uniform electric fields, potentially offering a new way to characterize and understand unconventional magnetic materials like altermagnets. The work could lead to new experimental probes and theoretical frameworks for studying these complex materials.
Key Takeaways
- •Provides a gauge-invariant expression for the orbital magnetic octupole moment.
- •Connects the octupole to a Hall response driven by non-uniform electric fields.
- •Offers a potential new way to characterize altermagnets and other unconventional magnetic materials.
- •Suggests a generalized Středa-type relation for the Hall response.
Reference
“The paper formulates a gauge-invariant expression for the orbital magnetic octupole moment and links it to a higher-rank Hall response induced by spatially nonuniform electric fields.”