Isotropic and anisotropic spin-dependent transport in epitaxial <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>Fe</mi><mn>3</mn></msub><mi>Si</mi></mrow></math>

Nozomi Soya; Michihiro Yamada; Kohei Hamaya; Kazuya Ando

doi:10.1103/3fss-8m7c

Isotropic and anisotropic spin-dependent transport in epitaxial ${Fe}_{3} Si$

Nozomi Soya¹, Michihiro Yamada^2,3,4, Kohei Hamaya ^2,5, and Kazuya Ando ^1,6,7,*

¹Department of Applied Physics and Physico-Informatics, Keio University, Yokohama 223-8522, Japan
²Center for Spintronics Research Network, Osaka University, 1-3 Machikaneyama, Toyonaka 560-8531, Japan
³PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
⁴Advanced Research Laboratories, Tokyo City University, 1-28-1 Tamazutsumi, Tokyo 158-8557, Japan
⁵Spintronics Research Network Division, Institute for Open and Transdisciplinary Research Initiatives, Osaka University, Yamadaoka 2-1, Suita, Osaka 565-0871, Japan
⁶Keio Institute of Pure and Applied Sciences, Keio University, Yokohama 223-8522, Japan
⁷Center for Spintronics Research Network, Keio University, Yokohama 223-8522, Japan

^*Contact author: ando@appi.keio.ac.jp

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Phys. Rev. B 112, 134417 – Published 9 October, 2025

DOI: https://doi.org/10.1103/3fss-8m7c

Abstract

We investigate spin-dependent transport phenomena in epitaxially grown ${Fe}_{3} Si$ films, focusing on the anisotropic magnetoresistance (AMR), planar Hall effect (PHE), anomalous Hall effect (AHE), and spin Hall effect (SHE). While the sign and magnitude of the AMR and PHE depend on the current orientation relative to the crystallographic axes, the AHE and SHE remain nearly independent of the current orientation. The current orientation dependence of the AMR and PHE is consistent with the phenomenological theory of galvanomagnetic effects, where the resistivity tensor can be expanded in terms of magnetization components with coefficients determined by crystal symmetry. These findings suggest the distinct interplay between symmetry, band structure, and magnetization in the spin-dependent transport phenomena.

Physical Review B

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Isotropic and anisotropic spin-dependent transport in epitaxial ${Fe}_{3} Si$

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Isotropic and anisotropic spin-dependent transport in epitaxial Fe3Si

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Isotropic and anisotropic spin-dependent transport in epitaxial ${Fe}_{3} Si$