Date:
Thu, 11/11/2021 - 11:00 to 12:00
Location:
Los Angeles Bld., Jerusalem, Israel
This Thursday, 11.11 at 11.00 am we will have a FH seminar where Prof. Roi Baer from the Hebrew University of Jerusalem will give a lecture titled "Stochastic Vector Techniques in Electronic Structure". See the details in the file attached.
We review a suite of stochastic vector computational approaches for studying the electronic
structure of extended condensed matter systems. These techniques help reduce algorithmic
complexity, facilitate efficient parallelization, simplify computational tasks, accelerate
calculations, and diminish memory requirements. While their scope is vast, we limit our study
to ground-state and finite temperature density functional theory (DFT) and second-order
perturbation theory. More advanced topics, such as quasiparticle (charge) and optical
(neutral) excitations and higher-order processes, will be covered elsewhere. We start by
explaining how to use stochastic vectors in computations, characterizing the associated
statistical errors. Next, we show how to estimate the electron density in DFT and discuss
highly effective techniques to reduce statistical errors. Finally, we review the use of stochastic
vector techniques for calculating correlation energies within second-order Møller-Plesset
perturbation theory (MP2) and its finite temperature variational form (GF2). Example
calculation results are presented.
We review a suite of stochastic vector computational approaches for studying the electronic
structure of extended condensed matter systems. These techniques help reduce algorithmic
complexity, facilitate efficient parallelization, simplify computational tasks, accelerate
calculations, and diminish memory requirements. While their scope is vast, we limit our study
to ground-state and finite temperature density functional theory (DFT) and second-order
perturbation theory. More advanced topics, such as quasiparticle (charge) and optical
(neutral) excitations and higher-order processes, will be covered elsewhere. We start by
explaining how to use stochastic vectors in computations, characterizing the associated
statistical errors. Next, we show how to estimate the electron density in DFT and discuss
highly effective techniques to reduce statistical errors. Finally, we review the use of stochastic
vector techniques for calculating correlation energies within second-order Møller-Plesset
perturbation theory (MP2) and its finite temperature variational form (GF2). Example
calculation results are presented.