  If, during the preparation, an external magnetic field is applied upon
cooling we say it has been field cooled. A novel mechanism for insulator-metal
transition and superconductivity in field-cooled spin-$1/2$ antiferromagnets on
bcc lattice is discussed. Applying a magnetic field along the sublattice B
magnetization, we change the magnetic and transport properties of the material.
There is a critical value $H_{cr1}$. When the magnetic field is below the
critical one $H<H_{cr1}$ the prepared material is a spin$-1/2$
antiferromagnetic insulator. When $H>H_{cr1}$ the sublattice A electrons are
delocalized and the material is metal. There is a second critical value
$H_{cr2}>H_{cr1}$. When $H=H_{cr2}$, it is shown that the Zeeman splitting of
the sublattice A electrons is zero and they do not contribute to the
magnetization of the system. At this quantum partial order point (QPOP) the
sublattice B transversal spin fluctuations (magnons) interact with sublattice A
electrons inducing spin anti-parallel \emph{p}-wave superconductivity which
coexists with magnetism. At zero temperature the magnetic moment of sublattice
B electrons is maximal. Below the N\'{e}el temperature $(T_N)$ the gap is
approximately constant with a small increase when the system approaches $T_N$.
It abruptly falls down to zero at temperatures above $T_N$.
