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77950858897
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note
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For a better understanding, see Fig. 2 of Ref. [15] for the HOMO and the LUMO of dimers. We also want to mention that this feature is not affected by the fact that our PPTs have metal ions at the center instead of two hydrogen atoms. In short, 3d atomic orbitals of the metal ion do not constitute the valence band and conduction band. Also see Ref. [26] below.
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28
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77950860038
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note
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As Fig. 2 shows, other d(Ni) orbitals, which constitute flat bands, also lie below the valence band or above the conduction band.
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29
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77950865800
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note
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It is quite similar to that for TL Fe-PPT described in Fig. 2 of Ref. [17], in which the metal ion belongs to the same group as Ru in the periodic table. One minor difference is the relative position of the Fermi level for the majority spin channel.
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30
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77950857656
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note
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yz(Ru).
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31
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77950858030
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note
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The calculation for the HPH molecule is quite similar to that for the HPT. The only difference is that k-point sampling is done with the Γ-point only, since the molecule is not periodic in any direction.
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32
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77950863248
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note
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Although most of the discussions given in this work will be qualitatively correct, band gaps may not be quantitatively correct due to the self-energy problem of the GGA. Likewise, half-metallicity of Ru-PPT may also need a further investigation using a more sophisticated method.
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