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@ARTICLE{Lichtenstein:812018,
author = {Lichtenstein, J. and de la Peña, D. Sánchez and Rohe, D.
and Di Napoli, E. and Honerkamp, C. and Maier, S. A.},
title = {{H}igh-performance functional {R}enormalization {G}roup
calculations for interacting fermions},
journal = {Computer physics communications},
volume = {213},
issn = {0010-4655},
address = {Amsterdam},
publisher = {North Holland Publ. Co.},
reportid = {FZJ-2016-04315},
pages = {100-110},
year = {2017},
abstract = {We derive a novel computational scheme for functional
Renormalization Group (fRG) calculations for interacting
fermions on 2D lattices. The scheme is based on the exchange
parametrization fRG for the two-fermion interaction, with
additional insertions of truncated partitions of unity.
These insertions decouple the fermionic propagators from the
exchange propagators and lead to a separation of the
underlying equations. We demonstrate that this separation is
numerically advantageous and may pave the way for refined,
large-scale computational investigations even in the case of
complex multiband systems. Furthermore, on the basis of
speedup data gained from our implementation, it is shown
that this new variant facilitates efficient calculations on
a large number of multi-core CPUs. We apply the scheme to
the $t$,$t'$ Hubbard model on a square lattice to analyze
the convergence of the results with the bond length of the
truncation of the partition of unity. In most parameter
areas, a fast convergence can be observed. Finally, we
compare to previous results in order to relate our approach
to other fRG studies.},
cin = {JSC / JARA-FIT / JARA-HPC},
ddc = {004},
cid = {I:(DE-Juel1)JSC-20090406 / $I:(DE-82)080009_20140620$ /
$I:(DE-82)080012_20140620$},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511) / High-performance functional renormalization
group for two-dimensional materials $(jhpc26_20151101)$ /
Simulation and Data Laboratory Quantum Materials (SDLQM)
(SDLQM) / Simulation and Data Laboratory Quantum Materials
(SDLQM) (SDLQM)},
pid = {G:(DE-HGF)POF3-511 / $G:(DE-Juel1)jhpc26_20151101$ /
G:(DE-Juel1)SDLQM / G:(DE-Juel1)SDLQM},
typ = {PUB:(DE-HGF)16},
eprint = {1604.06296},
howpublished = {arXiv:1604.06296},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:1604.06296;\%\%$},
UT = {WOS:000393630800011},
doi = {10.1016/j.cpc.2016.12.013},
url = {https://juser.fz-juelich.de/record/812018},
}