Adding the local Coulomb repulsion to the local density approximation,
the so-called LDA + U scheme, leads us to predict a first order trans
ition from a singlet semiconductor to ferromagnetic metal in FeSi with
increasing magnetic field. Extensions to finite temperature lead to t
he interpretation that the anomalous behavior at room temperature and
zero field arises from proximity to the critical point of this transit
ion. This critical point at a finite field may be accessible in curren
tly available magnetic fields.