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Diagrammatic Monte Carlo

2008/02/20 by Kris Van Houcke, Evgeny Kozik, Nikolay Prokof'ev +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1016/j.phpro.2010.09.034

published as Phys. Procedia 6, 95 (2010) · 15 pages, 7 figures. To appear in: Computer Simulation Studies in Condensed Matter Physics XXI, Eds. D.P. Landau, S.P. Lewis, and H.B. Schuttler (Springer Verlag, Heidelberg, Berlin 2008)

arxiv created 2008/02/20 · arxiv updated 2019/10/18

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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