Electronic and magnetic structures and conductivity of strontium ferrite: An ab initio LSDA + U approach

Using the first-principle nonempirical linear muffin-tin orbital method in the tight-binding approximation (TB-LMTO) to the LSDA + U approximation, the electronic and magnetic structures and defect formation in strontium ferrite Sr₃Fe₂O₆ are studied. It is found that Sr₃Fe₂O₆ is a G type antiferromagnetic with the semiconductor electronic structure. The calculated band gap of 1.82 eV agrees well with experimental value (～2 eV). The ferrite spectrum corresponds to that of a semiconductor with a band gap of charge transfer. Iron ions in Sr₃Fe₂O₆ are in a high-spin state and have configuration t _2g ^↑3 e _g ^↑2 e _g ^↓1 . The calculated local magnetic moment on the iron ions is 3.9 μ_B. The presence of iron ions with a magnetic moment approaching 4 μ_B in Sr₃Fe₂O₆ is explained by strong hybridization of 3d orbitals of iron and 2p orbitals of oxygen. The high-spin state of iron ions is described by d ⁵ + d ⁶ L states with predominant contribution d ⁶L, where L is a hole on oxygen. Based on ab initio LSDA + U calculations, various types and configurations of defects in the oxygen sublattice (oxygen vacancies, anti-Frenkel defects) are studied and a model for ionic transport in Sr₃Fe₂O₆ is proposed.