TY  - CONF
AU  - Assaad, Fakher F.
TI  - Numerical Simulations of Strongly Correlated Electron Systems
VL  - 50
CY  - Jülich
PB  - Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
M1  - FZJ-2020-01430
T2  - Publication Series of the John von Neumann Institute for Computing (NIC) NIC Series
SP  - 265 - 273
PY  - 2020
AB  - 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.
T2  - NIC Symposium 2020
CY  - 27 Feb 2020 - 28 Feb 2020, Jülich (Germany)
Y2  - 27 Feb 2020 - 28 Feb 2020
M2  - Jülich, Germany
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
UR  - https://juser.fz-juelich.de/record/874420
ER  -