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arXiv 1007.2340cond-mat.str-el
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Fe3O4和Fe2SiO4电子结构的比较研究

Comparative study of the electronic structures of Fe3O4 and Fe2SiO4

P. Piekarz, A. M. Oleś, K. Parlinski

摘要:

用密度泛函理论研究了Fe $_3$ O $_4$和Fe $_2$ SiO $_4$的电子性质.计算了铁上$3d$电子间的局部库仑排斥$U$和Hund交换$J$。对于$U=0$,两种尖晶石都是半金属,少数$t_{2g}$态处于费米能级。磁铁矿仍然是一种金属在立方相,即使在大的$U$值。金属-绝缘体转变由$X_3$声子诱导,其降低总能量并稳定电荷轨道有序。Fe $_2$ SiO $_4$转变为Mott绝缘态,$U>2$ eV具有带隙$Δ_g\sim U$。反铁磁相互作用引起的四方畸变,释放了几何阻挫,稳定了长程有序。讨论了两种尖晶石的高对称立方相和畸变低对称相的电子结构差异。

英文摘要:

The electronic properties of two spinels Fe$_3$O$_4$ and Fe$_2$SiO$_4$ are studied by the density functional theory. The local Coulomb repulsion $U$ and the Hund's exchange $J$ between the $3d$ electrons on iron are included. For $U=0$, both spinels are half-metals, with the minority $t_{2g}$ states at the Fermi level. Magnetite remains a metal in a cubic phase even at large values of $U$. The metal-insulator transition is induced by the $X_3$ phonon, which lowers the total energy and stabilizes the charge-orbital ordering. Fe$_2$SiO$_4$ transforms to a Mott insulating state for $U>2$ eV with a gap $Δ_g\sim U$. The antiferromagnetic interactions induce the tetragonal distortion, which releases the geometrical frustration and stabilizes the long-range order. The differences of electronic structures in the high-symmetry cubic phases and the distorted low-symmetry phases of both spinels are discussed.

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