Diagrammatic Monte Carlo for electronic correlation in molecules: high-order many-body perturbation theory with low scaling
arXiv:2203.12666 · doi:10.1103/PhysRevB.108.045115
Abstract
We present a low-scaling diagrammatic Monte Carlo approach to molecular correlation energies. Using combinatorial graph theory to encode many-body Hugenholtz diagrams, we sample the Møller-Plesset (MPn) perturbation series, obtaining accurate correlation energies up to n = 5, with quadratic scaling in the number of basis functions. Our technique reduces the computational complexity of the molecular many-fermion correlation problem, opening up the possibility of low-scaling, accurate stochastic computations for a wide class of many-body systems described by Hugenholtz diagrams.
arXiv comment6+4 pages, 2+1 figures
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