scholarly journals Communications: Explicitly correlated second-order Møller–Plesset perturbation method for extended systems

2010 ◽  
Vol 132 (15) ◽  
pp. 151101 ◽  
Author(s):  
Toru Shiozaki ◽  
So Hirata
Keyword(s):  
Perturbation Method ◽  
Second Order ◽  
Extended Systems ◽  
Explicitly Correlated ◽  
Moller Plesset

scholarly journals Explicitly correlated second-order Møller-Plesset perturbation theory in a Divide-Expand-Consolidate (DEC) context

2016 ◽  
Vol 144 (20) ◽  
pp. 204112 ◽  
Author(s):  
Yang Min Wang ◽  
Christof Hättig ◽  
Simen Reine ◽  
Edward Valeev ◽  
Thomas Kjærgaard ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Second Order ◽  
Explicitly Correlated ◽  
Moller Plesset ◽  
Plesset Perturbation Theory

scholarly journals Regularized Second-Order Correlation Methods for Extended Systems

2021 ◽  
Author(s):  
Elisabeth Keller ◽  
Theodoros Tsatsoulis ◽  
Karsten Reuter ◽  
Johannes T. Margraf
Keyword(s):  
Computational Cost ◽  
Cost Effective ◽  
Strongly Correlated Systems ◽  
Second Order ◽  
Strongly Correlated ◽  
Many Body ◽  
Correlated Systems ◽  
Extended Systems ◽  
Moller Plesset ◽  
The One

While many-body wavefunction theory has long been established as a powerful framework for highly accurate molecular quantum chemistry, these methods have only fairly recently been applied to extended systems in a significant scale. This is due to the high computational cost of such calculations, requiring efficient implementations and ample computing resources. To further aggravate this, second-order Møller-Plesset perturbation theory (MP2) (the most cost effective wavefuntion method) is known to diverge or fail for some prototypical condensed matter systems like the homogeneous electron gas (HEG). In this paper, we explore how the issues of MP2 for metallic and strongly correlated systems can be ameliorated through regularization. To this end, two regularized second-order methods (including a new, size-extensive Brillioun-Wigner approach) are applied to the HEG, the one-dimensional Hubbard model and the graphene-water interaction energy. We find that regularization consistently leads to improvements over the MP2 baseline and that different regularizers are appropriate for metallic and strongly correlated systems, respectively.

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