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Band Effects on Charge Ordering in Fe 3 O 4
Author(s) -
Lorenz B.,
Ihle D.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221130224
Subject(s) - coulomb , hamiltonian (control theory) , condensed matter physics , physics , k nearest neighbors algorithm , order (exchange) , charge ordering , charge (physics) , electronic band structure , fermion , perturbation theory (quantum mechanics) , third order , mathematical physics , quantum mechanics , mathematics , electron , mathematical optimization , philosophy , theology , finance , artificial intelligence , computer science , economics
The stability of the electronic long‐range order in Fe 3 O 4 with respect to the band term is investigated using a spinless fermion model with Coulomb interactions between nearest ( U 1 ) and next nearest neighbours ( U 2 ), where U 1 > t > U 2 ( 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 T V on t is calculated. The experimentally observed pressure dependence of T V is explained.