Orbital ordering in La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$ studied by model Hartree-Fock calculation

Abstract

We have investigated orbital ordering in the half-doped manganite La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$, which displays spin, charge and orbital ordering, by means of unrestricted Hartree-Fock calculations on the multiband $p$-$d$ model. From recent experiment, it has become clear that La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$ exhibits a cross-type $(z^2-x^2/y^2-z^2)$ orbital ordering rather than the widely believed rod-type $(3x^2-r^2/3y^2-r^2)$ orbital ordering. The calculation reveals that cross-type $(z^2-x^2/y^2-z^2)$ orbital ordering results from an effect of in-plane distortion as well as from the relatively long out-of-plane Mn-O distance. For the "Mn${}^{4+}$" site, it is shown that the elongation along the c-axis of the MnO${}_6$ octahedra leads to an anisotropic charge distribution rather than the isotropic one.

arXiv comment4 pages, 5 figures

References in corpus (4)

• Dynamic Jahn-Teller Effect and Colossal Magnetoresistance in $L{a}_{1-x}{A}_{x}Mn{O}_3$
• On the Fermi Liquid to Polaron Crossover II: Double Exchange and the Physics of "Colossal" Magnetoresistance
• Direct observation of orbital ordering in La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$ using soft x-ray diffraction
• Nature of Orbital Ordering in La_0.5Sr_1.5MnO_4 is Studied by Soft X-ray Linear Dichroism

Cited by in corpus (4)

• Doping dependence of spin and orbital correlations in layered manganites
• Orbital order in La0.5Sr1.5MnO4: beyond a common local Jahn-Teller picture
• Spin-orbital order in LaMnO${}_3$: $d-p$ model study
• Jahn-Teller distortions and the magnetic order in the perovskite manganites