magnetic order transition, one should include entropy calculation as well as total energy calculation. [@re:Biermann-Ce] Here, we do not include entropy calculation within LDA+DMFT scheme. Thus temperature $T=1000{\mbox{K}}\sim 0.1{\mbox{eV}}$ causes the spectrum broadening by at most $0.1~{\mbox{eV}}$ and that do not change the magnetic order.

We first carry out LDA calculation to obtain input LDA Hamiltonian and then carry out DMFT calculation. We adopt the converged DMFT results as output. We do not feed back the density by DMFT to the LDA calculation.

In NiO case, on-site self-energy of nickel 3d bands on each sublattice is only included and inter-atom self-energy between nickel atoms on different sublattices are neglected. Thus, our calculation is “single-site” DMFT, but not cluster-DMFT. [@re:rev-cluster-DMFT]

Ferromagnetic bcc-Fe and fcc-Ni {#sec:result-Fe-Ni}
===============================

LSDA calculation has achieved a great success on overall understanding of the ground state electronic structures of crystalline transition metals, including bcc-Fe and fcc-Ni. However, LDA overestimates the width of occupied 3d bands for both ferromagnetic bcc-Fe and fcc-Ni and could not produce the observed satellite of spectrum at $6~{\mbox{eV}}$ below the Fermi energy in Ni (“$6~{\mbox{eV}}$ satellite”). On the other hand, LDA+DMFT calculation [@re:Fe-Ni-UJ-paper; @re:Fe-Ni-KKR+DMFT] gives the width of occupied 3d bands for ferromagnetic 