We predict that iron-based superconductors discovered near d6 configuration
(5 Fe 3d orbitals filled by 6 electrons) is located on the foot of an
unexpectedly large dome of correlated electron matter centered at the Mott
insulator at d5 (namely, half filling). This is based on the many-variable
variational Monte-Carlo results for ab initio low-energy models derived by the
downfolding. The d5 Mott proximity extends to subsequent emergence of
incoherent metals, orbital differentiations due to the Mott physics and
Hund's-rule coupling, followed by antiferromagnetic quantum criticality, in
quantitative accordance with available experiments.Comment: 9 pages, 5 figure