Maximally-localized Wannier Functions in Antiferromagnetic MnO within the FLAPW Formalism
arXiv:cond-mat/0203202 · doi:10.1103/PhysRevB.65.184422
Abstract
We have calculated the maximally-localized Wannier functions of MnO in its antiferromagnetic (AFM) rhombohedral unit cell, which contains two formula units. Electron Bloch functions are obtained with the linearized augmented plane-wave method within both the LSD and the LSD+U schemes. The thirteen uppermost occupied spin-up bands correspond in a pure ionic scheme to the five Mn 3d orbitals at the Mn_1 (spin-up) site, and the four O 2s/2p orbitals at each of the O_1 and O_2 sites. Maximal localization identifies uniquely four Wannier functions for each O, which are trigonally-distorted sp^3-like orbitals. They display a weak covalent bonding between O 2s/2p states and minority-spin d states of Mn_2, which is absent in a fully ionic picture. This bonding is the fingerprint of the interaction responsible for the AFM ordering, and its strength depends on the one-electron scheme being used. The five Mn Wannier functions are centered on the Mn_1 site, and are atomic orbitals modified by the crystal field. They are not uniquely defined by the criterion of maximal localization and we choose them as the linear combinations which diagonalize the r^2 operator, so that they display the D_3d symmetry of the Mn_1 site.
11 pages, 6 PostScript figures. Uses Revtex4. Hi-res figures available from the authors
Cited by in corpus (18)
- Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
- Maximally localized Wannier functions: Theory and applications
- Wien2wannier: From linearized augmented plane waves to maximally localized Wannier functions
- Electronic structure and bonding properties of cobalt oxide in the spinel structure
- Dynamical mean-field theory using Wannier functions: a flexible route to electronic structure calculations of strongly correlated materials
- Maximally Localized Wannier Functions within the FLAPW formalism
- Magnetically-induced ferroelectricity in orthorhombic manganites: microscopic origin and chemical trends
- Wannier-function approach to spin excitations in solids
- Symmetry-adapted Wannier functions in the maximal localization procedure
- Mott Transition of MnO under Pressure: Comparison of Correlated Band Theories
- Accurate polarization within a unified Wannier function formalism
- Projector self-consistent DFT+U using non-orthogonal generalized Wannier functions
- First-principle Wannier functions and effective lattice fermion models for narrow-band compounds
- Frequency splitting of chiral phonons from broken time reversal symmetry in CrI
- Self-interaction correction with Wannier functions
- The Wannier Function Software Ecosystem for Materials Simulations
- Optical Absorption Study by Ab initio Downfolding Approach: Application to GaAs
- Higher dimensional Wannier functions of multi-parameter Hamiltonians