Abstract
AbstractThe stability of the electronic long‐range order in Fe3O4 with respect to the band term is investigated using a spinless fermion model with Coulomb interactions between nearest (U1) and next nearest neighbours (U2), where U1 > t > U2 (t overlap integral) is assumed. This model is treated by perturbation theory up to third order in t and an effective spin Hamiltonian is constructed. From an approximate solution the long‐range order condition at T = 0 is found to be \documentclass{article}\pagestyle{empty}\begin{document}$ t< 0,85\sqrt[3]{{U_1^2 U_2 }} $\end{document} and thedependence of the Verwey transition temperature TV on t is calculated. The experimentally observed pressure dependence of TV is explained.
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