is applicable to realistic metallic materials in strongly correlated electron systems as well as other previous LDA+DMFT methods. [@re:Fe-Ni-UJ-paper; @re:Fe-Ni-KKR+DMFT]

Antiferromagnetic NiO {#sec:result-NiO}
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NiO is a type-II antiferromagnetic insulator with Néel temperature $523~{\mbox{K}}$. The experimentally observed band gap is $4.3~{\mbox{eV}}$.[@re:NiO-expt] Resonance photoemission experiments [@re:NiO-kyoumei] show that electronic structure of NiO should be of the charge-transfer type and the low energy satellite mainly consists of nickel 3d bands.

Various theoretical methods have been applied to NiO. The band gap $E_{\rm gap}$ and the magnetic moment $\mu_{\rm spin}$ are summarized in Table \[tab:NiO-past-result\]. LSDA calculation shows that NiO is Mott-Hubbard type insulator with a small band gap of $0.2~{\mbox{eV}}$ for antiferromagnetic phase, [@re:Terakura-NiO-LSDA] in which oxygen 2p bands are located at lower energy region than the occupied nickel 3d bands.

The LSDA+U method was applied and the resultant band gap is almost good agreement with experiment and a system becomes charge-transfer insulator. [@re:Anisimov-NiO-LSDA+U] However, bonding states of nickel ${\mbox{e}_{g}}$ bands are observed at around $8~{\mbox{eV}}$ below the Fermi energy and this causes less components of the occupied main peak and too much components of the occupied satellite peak, compared with experimental XPS spectrum. These problems mainly come from the static potential 