Diagrammatic Monte Carlo for correlated fermions

Authors

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

Publication Date

2010

Journal or Book Title

EPL (Europhysics Letters)

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.

Comments

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

Volume

90

Issue

1

Recommended Citation

Kozik, E; Houcke, K; Gull, E; Pollet, L.; Prokof'ev, Nikolai; Svistunov, Boris; and Troyer, m, "Diagrammatic Monte Carlo for correlated fermions" (2010). EPL (Europhysics Letters). 1191.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1191