  Ab initio modelling of point defects in the cubic phase of magnetite faces
two problems: the cubic structure becomes unstable below the Verwey temperature
and there is no consensus on the electronic structure of the cubic phase (if
there is a band gap, what type of symmetry of the wavefunction should be
considered and how to describe strong electronic correlations). In this paper,
we show that the comparison of the experimental data on the band gap and the
Frenkel pair formation energy with the first-principles calculations allows to
determine a consistent DFT+U model of cubic Fe$_3$O$_4$.
