Skew scattering by magnetic monopoles and anomalous Hall effect in spinorbit coupled systems
Abstract
Magnetic textures like skyrmions and domain walls coupled to itinerant electrons give rise to rich transport phenomena such as anomalous Hall effect and nonreciprocal current. An interesting case is when the transport coefficient is related to the global (or topological) property of the magnetic texture, e.g., skyrmion and domain wall numbers. Such phenomena are also interesting from applications, in which the transport phenomena are potential probes for electrically detecting magnetic textures in nanoscale devices. Here, we show that an anomalous Hall effect proportional to the net magnetic monopole charge occurs from skew scattering when the magnetic texture couples to itinerant electrons in a noncentrosymmetric system with spinorbit interaction. This mechanism gives rise to a finite anomalous Hall effect in a ferromagnetic domain wall whose spins rotate in the $xy$ plane, despite no outofplane magnetic moment. We also discuss the relation between the magnetic texture contributing to the anomalous Hall effect and the crystal symmetry. The results demonstrate rich features arising from the interplay of spinorbit interaction and magnetic textures and their potential for detecting various magnetic textures in nanoscale devices.
 Publication:

arXiv eprints
 Pub Date:
 November 2022
 DOI:
 10.48550/arXiv.2211.10180
 arXiv:
 arXiv:2211.10180
 Bibcode:
 2022arXiv221110180M
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Materials Science;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 7 pages, 3 figures