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arXiv · 0802.2923

Diagrammatic Monte Carlo

Kris Van Houcke·Evgeny Kozik·Nikolay Prokof'ev·Boris Svistunov
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Abstract

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.

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Kris Van Houcke, Evgeny Kozik, Nikolay Prokof'ev, Boris Svistunov. 2008-02-20. Diagrammatic Monte Carlo. https://doi.org/10.1016/j.phpro.2010.09.034

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