title: Vanishing-Overhead Linear-Scaling Random Phase Approximation by Cholesky Decomposition and an Attenuated Coulomb-Metric.
abstract: A reformulation of the random phase approximation within the resolution-of-the-identity (RI) scheme is presented, that is competitive to canonical molecular orbital RI-RPA already for small- to medium-sized molecules. For electronically sparse systems drastic speedups due to the reduced scaling behavior compared to the molecular orbital formulation are demonstrated. Our reformulation is based on two ideas, which are independently useful: First, a Cholesky decomposition of density matrices that reduces the scaling with basis set size for a fixed-size molecule by one order, leading to massive performance improvements. Second, replacement of the overlap RI metric used in the original AO-RPA by an attenuated Coulomb metric. Accuracy is significantly improved compared to the overlap metric, while locality and sparsity of the integrals are retained, as is the effective linear scaling behavior.
authors.affiliation: Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU) , Butenandtstrasse 5-13, D-81377 Munich, Germany.|Center for Integrated Protein Science Munich (CIPSM) , Butenandtstrasse 5-13, D-81377 Munich, Germany.
authors.forename: Arne
authors.initials: A
authors.lastname: Luenser
authors.affiliation: Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU) , Butenandtstrasse 5-13, D-81377 Munich, Germany.|Center for Integrated Protein Science Munich (CIPSM) , Butenandtstrasse 5-13, D-81377 Munich, Germany.
authors.forename: Henry F
authors.initials: HF
authors.lastname: Schurkus
authors.affiliation: Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU) , Butenandtstrasse 5-13, D-81377 Munich, Germany.|Center for Integrated Protein Science Munich (CIPSM) , Butenandtstrasse 5-13, D-81377 Munich, Germany.
authors.forename: Christian
authors.identifier: http://orcid.org/0000-0002-4189-6558
authors.initials: C
authors.lastname: Ochsenfeld