Journal
PHYSICAL REVIEW LETTERS
Volume 99, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.99.143001
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We discuss a stochastic implementation of Moller-Plesset (MP) theory based upon the concept of a graph, a set of connected Slater determinants. We show how contributions from an arbitrary level, MPn, of perturbation theory can be expressed diagrammatically in terms of graphs, and that these may be stochastically sampled to give a good estimate of the energy. We show this to be the case for Ne, Ar, N-2, and H2O molecules. N-molecule chains of He atoms and H-2 molecules at equilibrium and stretched geometries show an effective scaling of O[N-2.6] and O[N-5.6] for MP2 and MP3 theories.
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