Spiral-induced Anomalous Hall Effect from Odd-parity Spin-nodal Lines

TL;DR

This paper reveals a novel anomalous Hall effect caused by spin spirals in magnetic materials, where spin-nodal lines and spin-orbit coupling interplay to produce a distinctive electronic response.

Contribution

It uncovers a new mechanism for anomalous Hall effect driven by spiral magnetism and spin-nodal lines, expanding understanding of emergent phenomena in noncollinear magnetic systems.

Findings

Spin spirals induce odd-parity spin splitting and spin-nodal lines.

Spin-orbit coupling gaps the nodal lines, creating Berry curvature hotspots.

The resulting AHE depends on the interplay of spin-orbit coupling, spiral orientation, and magnetization.

Abstract

Spin spirals represent a fundamental class of noncollinear yet coplanar magnetic structures that give rise to diverse emergent phenomena reflecting spin chirality. We investigate metallic systems hosting commensurate spin spirals and uncover an unconventional anomalous Hall effect (AHE) induced by spiral magnetism. The spin spiral introduces odd-parity spin splitting with polarization perpendicular to the helical plane, forming spin-nodal lines in the electronic structure. In the presence of spin-orbit coupling, we find that these nodal lines become gapped by finite magnetization, concentrating the Berry curvature near the gap and generating a distinctive AHE. We identify the interplay among the spin-orbit coupling, helical plane orientation, and magnetization direction as the key ingredient for this spiral-induced AHE, which is expected to occur across a wide range of materials hosting commensurate spin spirals.