Diagrammatic Monte Carlo for correlated fermions
This is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/0295-5075/90/1/10004
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.
E Kozik, K Houcke, E Gull, L. Pollet, Nikolai Prokof'ev, Boris Svistunov, and m Troyer. "Diagrammatic Monte Carlo for correlated fermions" Europhysics Letters 90.1 (2010).
Available at: http://works.bepress.com/nikolai_prokofev/71