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@ARTICLE{Kovacik:825188,
author = {Kovacik, Roman and Murthy, Sowmya Sathyanarayana and
Quiroga, Carmen and Ederer, Claude and Franchini, Cesare},
title = {{C}ombined first-principles and model {H}amiltonian study
of the perovskite series {R} {M}n{O} $_{3}$ ({R} = {L}a ,
{P}r , {N}d , {S}m , {E}u , and {G}d)},
journal = {Physical review / B},
volume = {93},
number = {7},
issn = {2469-9950},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2016-07661},
pages = {075139},
year = {2016},
abstract = {We merge advanced ab initio schemes (standard density
functional theory, hybrid functionals, and the GW
approximation) with model Hamiltonian approaches
(tight-binding and Heisenberg Hamiltonian) to study the
evolution of the electronic, magnetic, and dielectric
properties of the manganite family RMnO3
(R=La,Pr,Nd,Sm,Eu,and Gd). The link between first principles
and tight binding is established by downfolding the
physically relevant subset of 3d bands with eg character by
means of maximally localized Wannier functions (MLWFs) using
the VASP2WANNIER90 interface. The MLWFs are then used to
construct a general tight-binding Hamiltonian written as a
sum of the kinetic term, the Hund's rule coupling, the JT
coupling, and the electron-electron interaction. The
dispersion of the tight-binding (TB) eg bands at all levels
are found to match closely the MLWFs. We provide a complete
set of TB parameters which can serve as guidance for the
interpretation of future studies based on many-body
Hamiltonian approaches. In particular, we find that the
Hund's rule coupling strength, the Jahn-Teller coupling
strength, and the Hubbard interaction parameter U remain
nearly constant for all the members of the RMnO3 series,
whereas the nearest-neighbor hopping amplitudes show a
monotonic attenuation as expected from the trend of the
tolerance factor. Magnetic exchange interactions, computed
by mapping a large set of hybrid functional total energies
onto an Heisenberg Hamiltonian, clarify the origin of the
A-type magnetic ordering observed in the early rare-earth
manganite series as arising from a net negative out-of-plane
interaction energy. The obtained exchange parameters are
used to estimate the Néel temperature by means of Monte
Carlo simulations. The resulting data capture well the
monotonic decrease of the ordering temperature down the
series from R=La to Gd, in agreement with experiments. This
trend correlates well with the modulation of structural
properties, in particular with the progressive reduction of
the Mn-O-Mn bond angle which is associated with the
quenching of the volume and the decrease of the tolerance
factor due to the shrinkage of the ionic radii of R going
from La to Gd.},
cin = {IAS-1 / PGI-1 / JARA-FIT / JARA-HPC},
ddc = {530},
cid = {I:(DE-Juel1)IAS-1-20090406 / I:(DE-Juel1)PGI-1-20110106 /
$I:(DE-82)080009_20140620$ / $I:(DE-82)080012_20140620$},
pnm = {142 - Controlling Spin-Based Phenomena (POF3-142) / 143 -
Controlling Configuration-Based Phenomena (POF3-143)},
pid = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-143},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000370487600002},
doi = {10.1103/PhysRevB.93.075139},
url = {https://juser.fz-juelich.de/record/825188},
}