Papers › Tensor-Structured Coupled Cluster Theory
Tensor-Structured Coupled Cluster Theory
Roman Schutski, Jinmo Zhao, Thomas M. Henderson, Gustavo E. Scuseria
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We derive and implement a new way of solving coupled cluster equations with lower computational scaling. Our method is based on decomposition of both amplitudes and two electron integrals, using a combination of tensor hypercontraction and canonical polyadic decomposition. While the original theory scales as O(N⁶) with respect to the number of basis functions, we demonstrate numerically that we achieve sub-millihartree difference from the original theory with O(N⁴) scaling. This is accomplished by solving directly for the factors that decompose the cluster operator. The proposed scheme is quite general and can be easily extended to other many-body methods.
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