Diagrammatic Monte Carlo (DiagMC) is a numeric technique that allows one to calculate quantities specified in terms of diagrammatic expansions, the latter being a standard tool of many-body quantum statistics. The sign problem that is typically fatal to Monte Carlo approaches, appears to be manageable with DiagMC. Starting with a general introduction to the principles of DiagMC, we present a detailed description of the DiagMC scheme for interacting fermions (Hubbard model), as well as the first illustrative results for the equations of state.
Houcke, K; Kozik, E; Prokof'ev, Nikolai; and Svistunov, Boris, "Diagrammatic Monte Carlo" (2008). Physics Department Faculty Publication Series. 1192.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1192