Maschio, Lorenzo and Usvyat, Denis and Manby, Frederick R. and Casassa, Silvia and Pisani, Cesare and Schuetz, Martin (2007) Fast local-MP2 method with density-fitting for crystals. I. Theory and algorithms. PHYSICAL REVIEW B, 76 (7): 075101. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
When solving the Moller-Plesset second order perturbation theory (MP2) equations for periodic systems using a local-correlation approach [J. Chem. Phys. 122 (2005) 094113], the computational bottleneck is represented by the evaluation of the two-electron Coulomb interaction integrals between product distributions, each involving a Wannier function and a projected atomic orbital. While for distant product distributions a multipolar approximation performs very efficiently, the four index transformation for close-by distributions, which by far constitutes the bottleneck of correlated electronic structure calculations of crystals, can be avoided through the use of density fitting techniques. An adaptation of that scheme to translationally periodic systems is described, based on Fourier transformation techniques. The formulas and algorithms adopted allow the point symmetry of the crystal to be exploited. Problems related to the possible divergency of lattice sums of integrals involving fitting functions are identified and eliminated through the use of Poisson transformed fitting functions and of dipole-corrected product distributions. The iterative scheme for solving the linear local MP2 (LMP2) equations is revisited. Prescreening in the evaluation of the residual matrix is introduced, which significantly lowers the scaling of the LMP2 equations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ELECTRON CORRELATION METHODS; PLESSET PERTURBATION-THEORY; COUPLED-CLUSTER THEORY; AUXILIARY BASIS-SETS; APPROXIMATE INTEGRALS; LINEAR-COMBINATION; WANNIER FUNCTIONS; PERIODIC-SYSTEMS; EXTENDED SYSTEMS; ENERGY; |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie > Research Group Theoretical Chemistry > Prof. Dr. Martin Schütz Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie > Research Group Theoretical Chemistry > PD Dr. Denis Usvyat |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Dec 2020 07:54 |
| Last Modified: | 09 Dec 2020 07:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32474 |
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