# Fileset

[Supplemental_Material_R_Toyama_et_al_FeCoIr_ANE_20240125.pdf](https://mdr.nims.go.jp/filesets/54eb0d25-cb5f-40ce-b12e-4d2e6f19f882/download)

## Creator

[Ryo Toyama](https://orcid.org/0000-0002-7398-5803), [Weinan Zhou](https://orcid.org/0000-0003-2946-9913), [Yuya Sakuraba](https://orcid.org/0000-0003-4618-9550)

## Rights

©2024 American Physical Society[In Copyright](http://rightsstatements.org/vocab/InC/1.0/)

## Other metadata

[Extrinsic contribution to the anomalous Hall effect and Nernst effect in <math>  <mrow>    <msub>      <mi>Fe</mi>      <mn>3</mn>    </msub>    <mi>Co</mi>  </mrow></math> single-crystal thin films by Ir doping](https://mdr.nims.go.jp/datasets/5274114a-e8ff-44e3-84d2-3a3dacf9da09)

## Fulltext

1 Supplemental Material  Extrinsic contribution to the anomalous Hall effect and Nernst effect in Fe3Co single-crystal thin films by Ir doping  Ryo Toyama,1,* Weinan Zhou,2 and Yuya Sakuraba1,†  1Research Center for Magnetic and Spintronic Materials (CMSM), National Institute for Materials Science (NIMS), 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan 2International Center for Young Scientists (ICYS), National Institute for Materials Science (NIMS), 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan *TOYAMA.Ryo@nims.go.jp †SAKURABA.Yuya@nims.go.jp    2  FIG. S1. Temperature dependence of normalized magnetization (M) for x = 12% in (Fe3Co)100–xIrx composition-spread thin films. The magnetization remained almost unchanged from 2 to 300 K.    3   FIG. S2. Magnified views of 𝜌!"#  vs 𝜌""$  plots of (Fe3Co)100–xIrx composition-spread thin films as a function of Ir concentration. The black solid lines represent fitting results using the scaling relationship 𝜌!"# = 𝑎𝜌""% + 𝑏𝜌""$ .    4  FIG. S3. External magnetic field (H)-dependent longitudinal resistivity (𝜌"") for (a) x = 0.6% and (b) x = 11.9%. (c) Scaling analysis between 𝜌!"#  and 𝜌""&  for x = 0.6 % and 11.9%, where 𝜌""&  is obtained by extrapolating the saturation region of the H-dependent 𝜌"" curves in parts (a) and (b) from positive (negative) field to zero field. (d) Extrinsic contribution ratio (𝑎𝜌""% 𝜌!"#⁄ ) at 2 K when using 𝜌"" at zero field (original; red) and 𝜌""&  (gray) in the scaling analysis.  The magnetoresistance (MR) should be small when the 𝜌"" values at zero field are used for the scaling analysis between the 𝜌!"#  and 𝜌"" . In order to investigate the error in our scaling analysis caused by the change in 𝜌"", we remeasured and reanalyzed the external perpendicular magnetic field (H)-dependence of 𝜌""  up to 4 T, where the magnetization can be fully saturated, for two Ir concentrations; x = 0.6% showing the largest extrinsic contribution ratio of the AHE and x = 12% expecting to show the largest change in the 𝜌"" due to the anisotropic magnetoresistance (AMR) effect. The H-dependent MR curves for the two Ir concentrations are shown in Figs. S3(a) and S3(b). The change in the 𝜌""  below ≈ 2.5 T mainly originates from the AMR effect, while only the ordinary magnetoresistance (OMR) effect appears above 2.5 T. To obtain the 𝜌"" in the perpendicularly saturated magnetization state (𝜌""& ) without the OMR effect, we extrapolated the saturation region of the H-dependent 𝜌"" curves from positive (negative) field to zero field. Using the 𝜌""&  values, we performed the same scaling analysis as shown in Fig. 4 to compare the fitting results when using the 𝜌"" at zero field and 𝜌""& , which is shown in Fig. S3(c). As a result, the difference of the extrinsic contribution ratio  5 when using 𝜌"" and 𝜌""&  was as small as ≈ 1.4% for x = 0.6% at 2 K [Fig. S3(d)], where a maximum extrinsic contribution ratio was observed. In contrast, for x = 12%, the difference of the extrinsic contribution ratio was ≈ 4.5% at 2 K [Fig. S3(d)]. This slightly large difference would be attributed to a relatively large MR ratio of ≈ 3% for x = 12%. In our previous study [Ref. 23; R. Toyama et al., Phys. Rev. Mater. 7, 084401 (2023)], we observed a large AMR ratio up to –4.7% at 10 K. Thus, the MR ratio of ≈ 3% for x = 12% could be attributed to the large AMR ratio, which leads to the difference of the extrinsic contribution ratio of ≈ 4.5%. However, this value of ≈ 4.5% can be considered as a maximum error in our analysis, especially at high-Ir concentrations. In this study, we discussed the tendency of the extrinsic contribution ratio qualitatively, and the error of ≈ 1.4% was not large at the low-Ir concentrations, which are the main claim in this study. Therefore, such an error is not significant and does not affect the conclusion of this study.