0.8882 (ES)   7.0[@re:NiO-fujimori2]    0.9[@re:Anisimov-NiO-LSDA+U]

                                    LSDA    GW[@re:yamasaki-GW-TM]   LDA+DMFT       LDA+DMFT-IPT(1)        Expt.  
  ------------------------------- -------- ------------------------ ---------- -------------------------- ------- ------------------------------
      $\mu_{\rm spin}(\mu_B)$      bcc-Fe            2.17              2.31     2.28[@re:Fe-Ni-KKR+DMFT]   2.16    2.13[@re:Fe-Ni-expt-mag-mom]
                                   fcc-Ni            0.47              0.55     0.57[@re:Fe-Ni-KKR+DMFT]   0.47    0.57[@re:Fe-Ni-expt-mag-mom]
   $W_{\rm d, occ}({\mbox{eV}})$   bcc-Fe            3.7               3.4                                  3.4       3.3[@re:Fe-expt-XPS1]
                                   fcc-Ni            4.5               3.3                                  3.5       3.2[@re:Ni-expt-XPS1]

                                 LSDA   LSDA+U[@re:Anisimov-NiO-LSDA+U]   GW[@re:NiO-GW-Ferdi; @re:NiO-GW-Nohara]   QPscGW[@re:NiO-GW-Kotani]   LDA+DMFT[@re:Kunes-NiO-DMFT]   LDA+DMFT-IPT(1)             Expt.
  ----------------------------- ------ --------------------------------- ----------------------------------------- --------------------------- ------------------------------ ----------------- ----------------------------
   $E_{\rm gap}({\mbox{eV}}) $   0.2                  3.7                                   0.2                                4.8                          4.3                      4.3             4.3[@re:NiO-expt]
     $\mu_{\rm spin}(\mu_B)$     1.00                1.59                                  1.00                               1.72                          1.85                    1.00         1.64[@re:NiO-expt-mag-mom]

Energy Spectrum
---------------

Figure \[fig:dos-Fe-Ni\] shows the energy spectrum $-\mbox{Im} {\mathscr{G}}({\omega})$ obtained by LDA and LDA+DMFT-IPT(1) with the atomic spectrum by LFT. The occupied 3d-band becomes narrower in LDA+DMFT-IPT(1) than in LDA, narrower by $0.3~{\mbox{eV}}$ and $1.0~{\mbox{eV}}$ for bcc-Fe and fcc-Ni, respectively. Particularly, the spectra near the Fermi energy, in the region $-1.5~{\mbox{eV}}<{\omega}<0.0~{\mbox{eV}}$ for both bcc-Fe and fcc-Ni in LDA+DMFT-IPT(1), becomes narrower than that in the low energy region. These results are attributed to strong renormalization of the quasiparticle caused by the on-site dynamical electron correlation within the framework of DMFT. The precise width of occupied 3d bands is discussed in Sec. \[sec:Gkw-Fe-Ni-result\].

In addition, the satellite appears in LDA+DMFT-IPT(1) spectrum of fcc-Ni at $6~{\mbox{eV}}$ below the Fermi energy, in good agreement 