| Issue |
EPL
Volume 90, Number 1, June 2010
|
|
|---|---|---|
| Article Number | 10004 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/10004 | |
| Published online | 21 April 2010 | |
Diagrammatic Monte Carlo for correlated fermions
1
Theoretische Physik, ETH Zurich - 8093 Zurich, Switzerland
2
Department of Physics, University of Massachusetts - Amherst, MA 01003, USA
3
Universiteit Gent - UGent, Vakgroep Subatomaire en Stralingsfysica - Proeftuinstraat 86, B-9000 Gent, Belgium, EU
4
Department of Physics, Columbia University - New York, NY 10027, USA
5
Physics Department, Harvard University - Cambridge, MA 02138, USA
6
Russian Research Center “Kurchatov Institute” - 123182 Moscow, Russia
Corresponding author: kozik@phys.ethz.ch
Received:
9
February
2010
Accepted:
23
March
2010
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.
PACS: 02.70.Ss – Quantum Monte Carlo methods / 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 05.30.Fk – Fermion systems and electron gas
© EPLA, 2010
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