Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures

TL;DR

This paper explores how spin-orbit coupling and magnetic textures influence topological phases, specifically tuning the Chern number and Berry curvature, with proposed experimental methods for their detection.

Contribution

It introduces a comprehensive analysis of topological phase control via magnetic textures and spin-orbit coupling, and suggests experimental techniques for their measurement.

Findings

Identification of various topological phases influenced by magnetic textures and spin-orbit coupling.

Proposed experimental methods for measuring Chern numbers and Berry curvature.

Demonstration of tunability of topological properties through magnetic and spin-orbit parameters.

Abstract

We obtain the band structure of a particle moving in a magnetic spin texture, classified by its chirality and structure factor, in the presence of spin-orbit coupling. This rich interplay leads to a variety of novel topological phases characterized by the Berry curvature and their associated Chern numbers. We suggest methods of experimentally exploring these topological phases by Hall drift measurements of the Chern number and Berry phase interferometry to map the Berry curvature.