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Journal ArticleDOI

Collective Electron Theory of the Metal‐Semiconductor Transition in Magnetite

James R. Cullen, +1 more
- 01 Mar 1970 - 
- Vol. 41, Iss: 3, pp 879-880
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TLDR
In this article, the Verwey transition in magnetite is described on a band model, with the electrons selfconsistently breaking the symmetry by ordering in the self-induced Coulomb potential.
Abstract
The Verwey transition in magnetite is described on a band model, with the electrons self‐consistently breaking the symmetry by ordering in the self‐induced Coulomb potential. The order parameter is the difference in occupation numbers on alternate sites. There is a gap in the single‐particle excitation spectrum, and the gap and order parameter undergo a second‐order phase transition. The theory is BCS‐like, with the Verwey temperature being given in the weak‐coupling limit by an exponential in the reciprocal of the density of states at the Fermi level.

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Citations
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DissertationDOI

Redox behavior of magnetite in the environment: Moving towards a semiconductor model

TL;DR: In this article, the authors measured the relationship between magnetite stoichiometry and contaminant fate, and the reduction rates of three substituted nitrobenzenes (ArNO2) were measured.
Journal ArticleDOI

Green function theory of electron correlations above and below the Verwey transition in magnetite doped with impurities

TL;DR: In this paper, an extension of the Cullen-Callen model of magnetite was proposed to study the electron correlation effects in magnetite doped with impurities, and the temperature dependence of the charge density oscillations around an isolated impurity was calculated.
Journal ArticleDOI

Charge ordering in reactive sputtered (1 0 0) and (1 1 1) oriented epitaxial Fe3O4 films

TL;DR: In this article, the symmetry decreases from face-centered cubic to monoclinic structure across the Verwey transition, and extra spots with different brightness at different positions appear in selected-area diffraction patterns at 95 K.
Journal ArticleDOI

The influence of a finite bandwidth on the Verwey transition in magnetite

TL;DR: The role of the band structure in the Verwey transition in magnetite (Fe3O4) has been analyzed within the framework of an exactly solvable two-band model based on an effective interionic Coulomb potential splitting the 3d band of the t2g electrons as discussed by the authors.
References
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Journal ArticleDOI

Magnetic and electric properties of magnetite at low temperatures

TL;DR: The low-temperature transition in magnetite is due to the ordering of the ferrous and ferric ions in the octahedral interstices of the spinel lattice as mentioned in this paper.
Journal ArticleDOI

Magnetic Properties of Magnetite

Earl Callen
- 14 Oct 1966 - 
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