Our recently developed QQR-type integral screening is introduced in our Cholesky-decomposed pseudo-densities Møller-Plesset perturbation theory of second order (CDD-MP2) method. We use the resolution-of-the-identity (RI) approximation in combination with efficient integral transformations employing sparse matrix multiplications. The RI-CDD-MP2 method shows an asymptotic cubic scaling behavior with system size and a small prefactor that results in an early crossover to conventional methods for both small and large basis sets. We also explore the use of local fitting approximations which allow to further reduce the scaling behavior for very large systems. The reliability of our method is demonstrated on test sets for interaction and reaction energies of medium sized systems and on a diverse selection from our own benchmark set for total energies of larger systems. Timings on DNA systems show that fast calculations for systems with more than 500 atoms are feasible using a single processor core. Parallelization extends the range of accessible system sizes on one computing node with multiple cores to more than 1000 atoms in a double-zeta basis and more than 500 atoms in a triple-zeta basis.
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14 June 2014
Research Article|
June 13 2014
Cholesky-decomposed density MP2 with density fitting: Accurate MP2 and double-hybrid DFT energies for large systems
Simon A. Maurer;
Simon A. Maurer
Chair of Theoretical Chemistry, Department of Chemistry,
University of Munich (LMU)
, Butenandtstr. 7, D-81377 Munich, Germany
and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU)
, Butenandtstr. 5-13, D-81377 Munich, Germany
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Lucien Clin;
Lucien Clin
Chair of Theoretical Chemistry, Department of Chemistry,
University of Munich (LMU)
, Butenandtstr. 7, D-81377 Munich, Germany
and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU)
, Butenandtstr. 5-13, D-81377 Munich, Germany
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Christian Ochsenfeld
Christian Ochsenfeld
a)
Chair of Theoretical Chemistry, Department of Chemistry,
University of Munich (LMU)
, Butenandtstr. 7, D-81377 Munich, Germany
and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU)
, Butenandtstr. 5-13, D-81377 Munich, Germany
Search for other works by this author on:
Simon A. Maurer
Lucien Clin
Christian Ochsenfeld
a)
Chair of Theoretical Chemistry, Department of Chemistry,
University of Munich (LMU)
, Butenandtstr. 7, D-81377 Munich, Germany
and Center for Integrated Protein Science (CIPSM) at the Department of Chemistry, University of Munich (LMU)
, Butenandtstr. 5-13, D-81377 Munich, Germany
a)
Electronic mail: [email protected]
J. Chem. Phys. 140, 224112 (2014)
Article history
Received:
January 21 2014
Accepted:
May 21 2014
Citation
Simon A. Maurer, Lucien Clin, Christian Ochsenfeld; Cholesky-decomposed density MP2 with density fitting: Accurate MP2 and double-hybrid DFT energies for large systems. J. Chem. Phys. 14 June 2014; 140 (22): 224112. https://doi.org/10.1063/1.4881144
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