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arXiv · 2506.01160

Direct determination of layer anomalous Hall conductivity using uniaxial Wannier functions

Yume Morishima·Fumiyuki Ishii·Naoya Yamaguchi
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Abstract

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.

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Yume Morishima, Fumiyuki Ishii, Naoya Yamaguchi. 2025-06-01. Direct determination of layer anomalous Hall conductivity using uniaxial Wannier functions. https://doi.org/10.1016/j.cpc.2026.110317

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