Sparsity of the Electron Repulsion Integral Tensor Using Different Localized Virtual Orbital Representations in Local Second Order Møller-Plesset Theory
Abstract:Utilizing localized orbitals, local correlation theory can reduce the unphysically high system-size scaling of post-Hartree-Fock (post-HF) methods all the way to linear scaling in insulating molecules. Revealing the numerical sparsity of the 4-index electron repulsion (ERI) tensor is central to achieving linear scaling in local correlation methods. For second order Møller-Plesset theory (MP2), one of the simplest post-HF methods, only the $(ia|jb)$ ERIs are needed, coupling occupied orbitals $i,j$, and virtual… Show more
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