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Bulletin of the American Physical Society

Diagrammatic Monte Carlo for the Hubbard Model

Michel Ferrero, Fedor Šimkovic, Riccardo Rossi, Renaud Garioud, Félix Werner, Kris Van Houcke, Gabriele La Spada

Published Mar 18, 2021• 0 citations
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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.