Diagrammatic Monte Carlo for correlated fermions

E Kozik
K Houcke, University of Massachusetts - Amherst
E Gull
L. Pollet
Nikolai Prokof'ev, University of Massachusetts - Amherst
Boris Svistunov, University of Massachusetts - Amherst
m Troyer

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This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/0295-5075/90/1/10004

Abstract

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~4) and temperatures down to T/t=1/40. We compare our results with high-temperature series expansions and with single-site and cluster dynamical mean-field theory.