Electronic structure, magnetism, and optical properties of Fe2SiO4 fayalite at ambient and high pressures:: A GGA+U study -: art. no. 155108

The electronic structure, magnetism, and optical properties of Fe2SiO4 fayalite, the iron-rich end member of the olivine-type silicate, one of the most abundant minerals in Earth's upper mantle, have been studied by density-functional theory within the generalized gradient approximation (GGA) with the on-site Coulomb energy U=4.5 eV taken into account (GGA+U). The stable insulating antiferromagnetic solution with an energy gap similar to1.49 eV and a spin magnetic moment of 3.65mu(B) and an orbital magnetic moment of 0.044mu(B) per iron atom is obtained. It is found that the gap opening in this fayalite results mainly from the strong on-site Coulomb interaction on the iron atoms. In this band structure, the top of valence bands consists mainly of the 3d orbitals of Fe2 atoms, and the bottom of the conduction bands is mainly composed of the 3d orbitals of Fe1 atoms. Therefore, since the electronic transition from the Fe2 3d to Fe1 3d states is weak, significant electronic transitions would appear only about 1 eV above the absorption edge when Fe-O orbitals are involved in the final states. In addition, our band-structure calculations can explain the observed phenomena including redshift near the absorption edge and the decrease of the electrical resistivity of Fe2SiO4 upon compression. The calculated Fe p partial density of states agree well with Fe K-edge x-ray absorption spectrum. The calculated lattice constants and atomic coordinates for Fe2SiO4 fayalite in orthorhombic structure are in good agreement with experiments.