Diagrammatic Monte Carlo for Correlated Fermions

Details Diagrammatic Monte Carlo for Correlated Fermions Diagrammatic Monte Carlo for Correlated Fermions

2009-07-05

arxiv.org/abs/0907.0863v2

EPL 90, 10004 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures, stylistic changes

Scientific paper

We show that Monte Carlo sampling of the Feynman diagrammatic series (DiagMC) can be used for tackling hard fermionic quantum many-body problems in the thermodynamic limit by presenting accurate results for the repulsive Hubbard model in the correlated Fermi liquid regime. Sampling Feynman's diagrammatic series for the single-particle self-energy we can study moderate values of the on-site repulsion ($U/t \sim 4$) and temperatures down to $T/t=1/40$. We compare our results with high temperature series expansion and with single-site and cluster dynamical mean-field theory.

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