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@INPROCEEDINGS{Assaad:874420,
author = {Assaad, Fakher F.},
title = {{N}umerical {S}imulations of {S}trongly {C}orrelated
{E}lectron {S}ystems},
volume = {50},
address = {Jülich},
publisher = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
reportid = {FZJ-2020-01430},
series = {Publication Series of the John von Neumann Institute for
Computing (NIC) NIC Series},
pages = {265 - 273},
year = {2020},
comment = {NIC Symposium 2020},
booktitle = {NIC Symposium 2020},
abstract = {The richness of emergent phenomena that stem from the
fundamental laws of quantum mechanics is astonishing.
Topology, inherent to the integer Hall effect and Chern
insulators, allows us to understand why a dirty
two-dimensional electron gas can provide the most precise
determination of fundamental constants. Electron
correlations lead to the notion of fractionalisation and
associated emergent lattice gauge theories widely studied in
high energy physics. Finally, quantum engineering leads to
amazing possibilities for designing novel materials and
nano-structures that may very well define the building
blocks of information technologies beyond silicon. Given
this fascinating richness of phenomena, the natural question
to ask for a numerically oriented researcher is: can one
develop a flexible and efficient program package that allows
one to define and simulate, at minimal programming cost, a
wide set of model Hamiltonians? We have recently written an
open source library, coined Algorithms for Lattice Fermions
(ALF) that allows us to study a large variety of designer
and realistic models. In this article, we will summarise
aspects of the ALF-library, demonstrate its range of
application and then concentrate on the case study of
fractionalisation in a Falicov-Kimball model.},
month = {Feb},
date = {2020-02-27},
organization = {NIC Symposium 2020, Jülich (Germany),
27 Feb 2020 - 28 Feb 2020},
cin = {NIC},
cid = {I:(DE-Juel1)NIC-20090406},
pnm = {899 - ohne Topic (POF3-899)},
pid = {G:(DE-HGF)POF3-899},
typ = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
url = {https://juser.fz-juelich.de/record/874420},
}