A Similarity Renormalization Group Approach to Green's Function Methods.

J Chem Theory Comput

Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, 31400 Toulouse, France.

Published: July 2023

The family of Green's function methods based on the approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this, self-consistent versions still pose challenges in terms of convergence. A recent study [Monino and Loos 2022, 156, 231101.] has linked these convergence issues to the intruder-state problem. In this work, a perturbative analysis of the similarity renormalization group (SRG) approach is performed on Green's function methods. The SRG formalism enables us to derive, from first-principles, the expression of a naturally static and Hermitian form of the self-energy that can be employed in quasiparticle self-consistent (qs) calculations. The resulting SRG-based regularized self-energy significantly accelerates the convergence of qs calculations, slightly improves the overall accuracy, and is straightforward to implement in existing code.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10339683PMC
http://dx.doi.org/10.1021/acs.jctc.3c00281DOI Listing

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