# Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces

## TL;DR

This paper theoretically explores how magnetic skyrmions on topological insulator surfaces induce an additional anomalous Hall conductivity, highlighting a unique phase effect in Dirac electrons distinct from conventional topological Hall phenomena.

## Contribution

It introduces a novel mechanism for skyrmion-induced anomalous Hall conductivity on topological insulators, emphasizing the role of Dirac electron phase factors at skyrmion boundaries.

## Key findings

- Skyrmions contribute to anomalous Hall conductivity without in-plane magnetic textures.
- The phase factor acquired by Dirac electrons at skyrmion boundaries is crucial.
- Distinct from conventional topological Hall effects in metals.

## Abstract

Electron spin-momentum locking together with background magnetic textures can significantly alter the electron transport properties. We theoretically investigate the electron transport at the interface between a topological insulator and a magnetic insulator with magnetic skyrmions on the top. In contrast to the conventional topological Hall effect in normal metals, the skyrmions yield an additional contribution to the anomalous Hall conductivity even in the absence of in-plane magnetic texture, arising from the phase factor characteristic to Dirac electrons acquired at skyrmion boundary.