Diagrammatic Monte Carlo
Statistical Mechanics
2019-10-18 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.0802.2923,
title = {Diagrammatic Monte Carlo},
author = {Kris Van Houcke and Evgeny Kozik and Nikolay Prokof'ev and Boris Svistunov},
journal= {arXiv preprint arXiv:0802.2923},
year = {2019}
}
Comments
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)