1999
DOI: 10.1088/0953-8984/11/18/304
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The role of volume effects in the Verwey transition in magnetite

Abstract: Fe2+/Fe3+ ordering in magnetite is described in terms of a simple mean-field approach based on an effective interionic Coulomb potential. It is shown that first-order electronic order-disorder transformations, as reported in the literature, can only be reproduced when the dependence of the interionic potential on the unit-cell dimensions is taken into account. In this case the first-order transitions can then be viewed as the result of an interplay between the lattice-deformation energy and the free-energy con… Show more

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Cited by 15 publications
(31 citation statements)
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“…Being aware of these handicaps, Brabers et al [237][238][239] experienced as to what extent an alternative two-state mean-field model, accounting only for Coulomb SR-and LR interactions-which, according to previous analyses [166] should dominate the lowtemperature phase-may be successful for a quantitative description of the Verwey transition and associated parameters of Fe 3 O 4 in the temperature range around T v . Thus, in terms of the Ihle-Lorenz formalism, cf equations ( 8), (9) [166], only the Coulomb interactions U 1 and U 2as determined from a Madelung approximation over nearest and more distant neighbourshave been accounted for, whereas kinetic (T ik ) and phononic ( ) contributions were neglected.…”
Section: Progress In Theoretical Model Designing (Since 1979)mentioning
confidence: 99%
“…Being aware of these handicaps, Brabers et al [237][238][239] experienced as to what extent an alternative two-state mean-field model, accounting only for Coulomb SR-and LR interactions-which, according to previous analyses [166] should dominate the lowtemperature phase-may be successful for a quantitative description of the Verwey transition and associated parameters of Fe 3 O 4 in the temperature range around T v . Thus, in terms of the Ihle-Lorenz formalism, cf equations ( 8), (9) [166], only the Coulomb interactions U 1 and U 2as determined from a Madelung approximation over nearest and more distant neighbourshave been accounted for, whereas kinetic (T ik ) and phononic ( ) contributions were neglected.…”
Section: Progress In Theoretical Model Designing (Since 1979)mentioning
confidence: 99%
“…1,5 For the basic understanding of Verwey transition, it has been formulated that the interionic Coulomb interactions at octahedral Fe sublattice are playing an important role. Brabers, Walz, and Kronmuller, 6,7 have presented a mean-field approach to Verwey transition based on an effective interionic Coulomb potential and explained the various aspects. In their model they have pointed out that the Verwey transition is strongly dependent upon the bandwidth and interionic Coulomb interaction.…”
Section: Introductionmentioning
confidence: 99%
“…The transition is of the first order, but this attribute applies only to a small nonstoichiometry range with respect to both oxygen and aliovalent dopants (6,7). Attempts have been made (8)(9)(10)(11)(12)(13) to present a theoretical model dealing with both the first-and higher-order Verwey transition. These mean-field approximations describe the transition as an entropy-driven ordering accompanied by a volume effect.…”
Section: Introductionmentioning
confidence: 99%