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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.01160 |
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| _version_ | 1866912575262818304 |
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| author | Morishima, Yume Ishii, Fumiyuki Yamaguchi, Naoya |
| author_facet | Morishima, Yume Ishii, Fumiyuki Yamaguchi, Naoya |
| contents | We propose a method for computing layer anomalous Hall conductivity (LAHC) in real space by integrating the Fukui-Hatsugai-Suzuki method with hybrid Wannier functions localized along a single axis. To validate the method, we calculated the LAHC of axion-insulating MnBi$_2$Te$_4$ and confirmed the agreement between the sum of LAHC on the surface and the surface AHC previously reported. We further applied the method to antiferromagnetic Mn$_2$Bi$_2$Te$_5$ and examined the dependence on the magnetic structure of LAHC, identifying cases with and without axion insulating behavior. This layer-resolved analysis offers a powerful tool for studying topological transport in complex materials, including heterostructures, and may guide the design of future devices based on the anomalous Hall effect with precise layer control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01160 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct determination of layer anomalous Hall conductivity using uniaxial Wannier functions Morishima, Yume Ishii, Fumiyuki Yamaguchi, Naoya Materials Science Computational Physics We propose a method for computing layer anomalous Hall conductivity (LAHC) in real space by integrating the Fukui-Hatsugai-Suzuki method with hybrid Wannier functions localized along a single axis. To validate the method, we calculated the LAHC of axion-insulating MnBi$_2$Te$_4$ and confirmed the agreement between the sum of LAHC on the surface and the surface AHC previously reported. We further applied the method to antiferromagnetic Mn$_2$Bi$_2$Te$_5$ and examined the dependence on the magnetic structure of LAHC, identifying cases with and without axion insulating behavior. This layer-resolved analysis offers a powerful tool for studying topological transport in complex materials, including heterostructures, and may guide the design of future devices based on the anomalous Hall effect with precise layer control. |
| title | Direct determination of layer anomalous Hall conductivity using uniaxial Wannier functions |
| topic | Materials Science Computational Physics |
| url | https://arxiv.org/abs/2506.01160 |