Magnetic octupole Hall effect in heavy transition metals

TL;DR

This paper investigates the magnetic octupole Hall effect in 4d and 5d transition metals, identifying key materials and mechanisms through first-principles calculations for potential applications in magnetic octupole physics.

Contribution

It introduces a first-principles method to calculate magnetic octupole Hall conductivity and analyzes its microscopic origin in transition metals, highlighting materials suitable for experimental observation.

Findings

Magnetic octupole Hall effect arises from orbital texture and spin-orbit coupling.

Identified transition metals with high magnetic octupole Hall conductivity.

Provided insights into material selection for magnetic octupole applications.

Abstract

d-wave altermagnets have the magnetic octupole as their primary order parameter. A recent study [Han et al. arXiv 2409.14423 (2024)] demonstrated that magnetic octupole current can induce N\'eel vector dynamics. Therefore, identifying materials that can efficiently generate a magnetic octupole current is essential. In this paper, we investigate the magnetic octupole Hall effect in 4d and 5d transition metals. By employing atomic magnetic octupole operators, we calculate the magnetic octupole Hall conductivity using first-principles calculations. We also explore the microscopic origin of the magnetic octupole Hall effect and find that it results from the combined effect of orbital texture and spin-orbit coupling. Additionally, we analyze the ratio of spin Hall conductivity to magnetic octupole Hall conductivity across various materials and identify those that are optimal for observing magnetic octupole physics. We also discuss potential applications arising from the magnetic octupole Hall effect. Our work serves as a valuable reference for identifying materials suitable for studying magnetic octupole physics.