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On the Verwey Transition in Magnetite
Author(s) -
Lorenz B.,
Ihle D.
Publication year - 1972
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.2220540210
Subject(s) - charge ordering , condensed matter physics , magnetite , gapless playback , coulomb , charge (physics) , electronic band structure , physics , materials science , quantum mechanics , electron , metallurgy
The Verwey transition in magnetite is investigated using a band model with interatomic Coulomb energy introduced by Cullen and Callen. This model is treated in the Hartree‐Fock approximation. A tight‐binding calculation of the band structure with Verwey ordering yields a gap in the single‐particle excitation spectrum for M = ( U /2|h|) m > 1 ( U Coulomb energy, h overlap integral, m ordering parameter). Below the Verwey temperature T v semiconducting behaviour for M > 1 and a region of gapless Verwey ordering and semimetallic behaviour for 0 < M ⩽ 1 is found.
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