Efficient computation of the second-Born self-energy using tensor-contraction operations.

Clicks: 221
ID: 101806
2019
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Abstract
In the nonequilibrium Green's function approach, the approximation of the correlation self-energy at the second-Born level is of particular interest, since it allows for a maximal speed-up in computational scaling when used together with the generalized Kadanoff-Baym ansatz for the Green's function. The present day numerical time-propagation algorithms for the Green's function are able to tackle first principles simulations of atoms and molecules, but they are limited to relatively small systems due to unfavorable scaling of self-energy diagrams with respect to the basis size. We propose an efficient computation of the self-energy diagrams by using tensor-contraction operations to transform the internal summations into functions of external low-level linear algebra libraries. We discuss the achieved computational speed-up in transient electron dynamics in selected molecular systems.
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tuovinen2019efficientthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Tuovinen, Riku;Covito, Fabio;Sentef, Michael A;
Journal The Journal of Chemical Physics
Year 2019
DOI
10.1063/1.5121820
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