Diagrammatic Monte Carlo

Details Diagrammatic Monte Carlo Diagrammatic Monte Carlo

2008-02-20

arxiv.org/abs/0802.2923v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures. To appear in: Computer Simulation Studies in Condensed Matter Physics XXI, Eds. D.P. Landau, S.P. Lewis,

Scientific paper

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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