Diagrammatic Monte Carlo for correlated fermions
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 di...
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| Veröffentlicht in: | Europhysics letters 2010-04, Vol.90 (1), p.10004 |
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| container_title | Europhysics letters |
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| creator | Kozik, E Van Houcke, K Gull, E Pollet, L Prokof'ev, N Svistunov, B Troyer, M |
| description | 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. |
| doi_str_mv | 10.1209/0295-5075/90/10004 |
| format | Article |
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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. 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| subjects | 02.70.Ss 05.30.Fk 71.10.Fd Clusters Computer simulation Correlation Fermi liquids Fermions Monte Carlo methods Sampling Series expansion |
| title | Diagrammatic Monte Carlo for correlated fermions |
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