**Author details**

To explore the potentials of the full-Heusler compounds, theoretical studies are vital to minimise the experimental tasks. **Figure 15** exhibits a plot of *S* versus *σ*/*τ* at 1000 K for several Co-based and Mn-based full-Heusler compounds, as calculated by Li et al. [60]. Furthermore, recent advancements in machine learning dispel the difficulty in searching novel full-Heusler compounds [95, 96]. Combining such calculations with experiments, we can effectively discover magnetic full-Heusler compounds with much higher TE efficiency, which promises the realisation of high-

*Calculated* S *versus* σ*/*τ *at 1000 K for several Co-based and Mn-based full-Heusler compounds. The grey curves*

*indicate PF/*τ*. (Reprinted from [60]. Copyright 2018, with permission from Elsevier).*

We greatly acknowledge the financial supports from the Thermal and Electric Energy Technology Foundation and from the Tsinghua-Tohoku Collaborative

efficiency TE power generation devices.

*Magnetic Materials and Magnetic Levitation*

We declare that there is no conflict of interest.

**Acknowledgements**

**Conflict of interest**

Research Fund.

**78**

**Figure 15.**

Kei Hayashi\*, Hezhang Li, Mao Eguchi, Yoshimi Nagashima and Yuzuru Miyazaki Department of Applied Physics, Graduate School of Engineering, Tohoku University, Sendai, Japan

\*Address all correspondence to: hayashik@crystal.apph.tohoku.ac.jp

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