Ab initio investigation of electronic and lattice properties of Fe$_4$(P$_2$O$_7$)$_3$

Abstract

In this research, we examine the electronic, magnetic, and lattice properties of the Fe$_4$(P$_2$O$_7$)$_3$ compound using the first principles calculations based on the density functional theory. The crystal lattice has a monoclinic structure, belonging to the P$2_1/n$ space group. The optimized lattice parameters are a=7.406 \AA, b=21.425 \AA, c=9.529 \AA, and agree very well with the experimental data, thanks to the local Coulomb interactions and van der Waals forces included in the calculations. The investigation considers several magnetic orderings. The lowest total energy was found for the antiferromagnetic configuration with the magnetic moment of $\sim4.6~\mu_{\text{B}}$ per Fe atom. The electronic structure calculation shows the Mott insulating state with the energy gap $E_g=2.87$~eV. For the relaxed crystal structure, the elastic properties were obtained and analyzed. The phonon dispersion relations and density of states were calculated within the temperature-dependent effective potential methodusing atomic multidisplacements obtained by high efficiency configuration space sampling.