Theory of Magnetic-Texture-Induced Anomalous Hall Effect on the Surface of Topological Insulators
| Autor: | Ai Yamakage, Terufumi Yamaguchi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Surface (mathematics)
Physics Condensed matter physics Condensed Matter - Mesoscale and Nanoscale Physics Texture (cosmology) Skyrmion General Physics and Astronomy Order (ring theory) FOS: Physical sciences Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Magnetization Third order Hall effect Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) |
| Popis: | The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization, $\boldsymbol{M}(\boldsymbol{x})$, based on a perturbative approach. We identify the magnetic textures that contribute to the Hall conductivity up to third order in magnetization and second order in spatial differentiation. We treat magnetization as a perturbation to calculate the Hall conductivity for each magnetic texture based on the linear response theory. Furthermore, we estimate the skyrmion-induced Hall conductivity and confirm that it depends on the shape of skyrmions, such as Bloch-type or N\'eel-type skyrmions. The results of this study can be applied not only to conventional skyrmion systems but also to more general magnetic structures. |
| Databáze: | OpenAIRE |
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