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@INPROCEEDINGS{DiNapoli:17998,
author = {Di Napoli, E.},
title = {{Q}uantum {T}heory of {M}aterials: an {I}ntroduction to
{D}ensity {F}unctional {T}heory and its {C}omputational
{C}hallenges},
reportid = {PreJuSER-17998},
year = {2011},
note = {Record converted from VDB: 12.11.2012},
comment = {EU Regional School},
booktitle = {EU Regional School},
abstract = {Density Functional Theory (DFT) is one of the most used ab
initio theoretical frameworks in materials science.
DFT-based methods are growing as the standard tools for
simulating new materials. Simulations aim at recovering and
predicting physical properties (electronic structure, total
energy differences, magnetic properties, etc.) of large
molecules as well as systems made of many hundreds of atoms.
DFT reaches this result by solving self-consistently a
rather complex set of quantum mechanical equations leading
to the computation of the one-particle density n(r), from
which physical properties are derived. In order to preserve
self-consistency, numerical implementations of DFT methods
consist of a series of iterative cycles; at the end of each
cycle a new density is computed and compared to the one
calculated in the previous cycle. The end result is a series
of successive densities converging to a n(r) approximating
the exact density within the desired level of accuracy. The
course is divided in two parts. The first part is concerned
with theoretical and conceptual foundations of DFT: we will
introduce basic concepts of many-body quantum mechanics,
proceed to illustrate the fundamental building blocks of
DFT, and finally present a broad overview of the three most
used ab initio methods. In the second part we will focus on
one specific method, FLAPW, and analyze its computational
aspects in details; the material will be presented paying
special attention on the interrelation between the physics
and the numerics of the problem. In order to facilitate the
exposition, numerous examples will be presented and
discussed in class. A basic knowledge of quantum mechanics
concepts is assumed.},
month = {Nov},
date = {2011-11-10},
organization = {Aachen, 10 Nov 2011},
cin = {JSC},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {Scientific Computing / Simulation and Data Laboratory
Quantum Materials (SDLQM) (SDLQM)},
pid = {G:(DE-Juel1)FUEK411 / G:(DE-Juel1)SDLQM},
typ = {PUB:(DE-HGF)31},
url = {https://juser.fz-juelich.de/record/17998},
}