2019
DOI: 10.1021/acs.jpclett.9b01376
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Singling Out Dynamic and Nondynamic Correlation

Abstract: The correlation part of the pair density is separated into two components, one of them being predominant at short electronic ranges and the other at long ranges. The analysis of the intracular part of these components permits to classify molecular systems according to the prevailing correlation: dynamic or nondynamic. The study of the long-range asymptotics reveals the key component of the pair density that is responsible for the description of London dispersion forces and a universal decay with the interelect… Show more

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Cited by 38 publications
(48 citation statements)
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“…While numerous MR diagnostics have been developed [54][55][56][57][58][59][60][61][62][63][64][65] , we focus on diagnostics [63][64][65] based on fractional occupation numbers (FONs) that can be obtained from computationally affordable finite-temperature DFT 66 (FT-DFT). Since electron correlation can be attributed alternately to both dynamical and non-dynamical (i.e., MR) contributions [67][68][69] , Matito and coworkers [63][64] have derived expressions for dynamical, I D , and non-dynamical, I ND , quantities.…”
Section: Toc Graphicsmentioning
confidence: 99%
“…While numerous MR diagnostics have been developed [54][55][56][57][58][59][60][61][62][63][64][65] , we focus on diagnostics [63][64][65] based on fractional occupation numbers (FONs) that can be obtained from computationally affordable finite-temperature DFT 66 (FT-DFT). Since electron correlation can be attributed alternately to both dynamical and non-dynamical (i.e., MR) contributions [67][68][69] , Matito and coworkers [63][64] have derived expressions for dynamical, I D , and non-dynamical, I ND , quantities.…”
Section: Toc Graphicsmentioning
confidence: 99%
“…While numerous MR diagnostics have been developed [54][55][56][57][58][59][60][61][62][63][64][65] , we focus on diagnostics [63][64][65] based on fractional occupation numbers (FONs) that can be obtained from computationally affordable finite-temperature DFT 66 (FT-DFT). Since electron correlation can be attributed alternately to both dynamical and non-dynamical (i.e., MR) contributions [67][68][69] , Matito and coworkers [63][64] have derived expressions for dynamical, I D , and non-dynamical, I ND , quantities.…”
mentioning
confidence: 99%
“…For all CCSD and MP2 wavefunctions, we have computed the I ND index 103,104 obtained from the range-separation partition of the Coulomb hole. 105,106 I ND is proportional to the deviation from idempotency of the first-order reduced density matrix. 107,108 Unlike T1 and D1 diagnostics, I ND can be calculated for any wavefunction from natural orbital occupations.…”
Section: Methodsmentioning
confidence: 99%