Examination of Cluster Based Methods to Fermionic Systems

Jeffrey Keyes; Carlos Jimenez-Hoyos

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arXiv · 2609.08773

Examination of Cluster Based Methods to Fermionic Systems

Jeffrey Keyes·Carlos Jimenez-Hoyos

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Abstract

We present the cluster mean field(cMF) and its extensions into perturbation theory(cPT) and coupled cluster(cCC) methods for fermionic systems. We discuss how the commutation rules for fermionic systems modifies the method as well as other computational details. We then perform calculations on the Hubbard model and a few select conjugated molecules to demonstrate the efficacy of the method. We will also use these examples to compare cluster methods to CAS-SCF.

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Jeffrey Keyes, Carlos Jimenez-Hoyos. 2026-09-08. Examination of Cluster Based Methods to Fermionic Systems. https://arxiv.org/abs/2609.08773

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