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    <div class="moz-cite-prefix">On 05/04/2017 13:43,
      <a class="moz-txt-link-abbreviated" href="mailto:nisihara225@gmail.com">nisihara225@gmail.com</a> wrote:<br>
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        <p class="MsoNormal"><span lang="EN-US">Dear QE’s developers,</span></p>
        <p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span lang="EN-US">I am studying ACE (Lin
            Lin, JCTC 2016, 12, 2242), now.</span></p>
        <p class="MsoNormal"><span lang="EN-US">And I have one question:
            May ACE allow us to plot band structures of hybrid
            functionals ?</span></p>
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    NO, and maybe yes.<br>
    the ACE construction builds the projectors for the provided
    k-points.<br>
    This requires the knowledge of the full Vx phi for a number of
    orbitals which you only know on the k-points you used in the scf
    cycle.<br>
    However one could Fourier interpolate/Wannier interpolate the ACE
    projectors to a set of non-scf k-points to perform the band
    structure.<br>
    Beware: the ACE construction is good only for the bands you built
    the projector for.<br>
    <br>
    stefano<br>
    <br>
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        <p class="MsoNormal"><span lang="EN-US">Once the projection
            vector of ACE (Eq(14) of JCTC2016) is constructed,</span></p>
        <p class="MsoNormal"><span lang="EN-US">the exact-exchange
            operator is independent of all the wave functions in the
            Fermi sea.</span></p>
        <p class="MsoNormal"><span lang="EN-US">Then, I suggest saving
            the projection vector to storage after SCF calculation and</span></p>
        <p class="MsoNormal"><span lang="EN-US">reading it before NSCF
            calculation. One can set arbitrary k-points in NSCF.</span></p>
        <p class="MsoNormal"><span lang="EN-US">This scheme is similar
            to non-local potential of PAW or density matrix of LDA+U.</span></p>
        <p class="MsoNormal"><span lang="EN-US">I would like to hear
            your opinions on this idea.</span></p>
        <p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span lang="EN-US">Best Regards,</span></p>
        <p class="MsoNormal"><span lang="EN-US">Satomichi Nishihara</span></p>
        <p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
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