Journal
PHYSICAL REVIEW E
Volume 80, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.046706
Keywords
fluctuations; Hubbard model; Monte Carlo methods; strongly correlated electron systems
Categories
Funding
- DOE [DE-FC02-06ER25792, DE-AC05-00OR22725]
- DAAD through the PPP exchange program
- NSF PIRE [OISE-0730290]
- National Center for Computational Sciences at Oak Ridge National Laboratory
- Office Of Internatl Science &Engineering
- Office Of The Director [GRANTS:13623720, 0952300] Funding Source: National Science Foundation
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We present a numerical solution of the parquet approximation, a conserving diagrammatic approach which is self-consistent at both the single-particle and the two-particle levels. The fully irreducible vertex is approximated by the bare interaction thus producing the simplest approximation that one can perform with the set of equations involved in the formalism. The method is applied to the Hubbard model on a half-filled 4x4 cluster. Results are compared to those obtained from determinant quantum Monte Carlo (DQMC), FLuctuation EXchange (FLEX), and self-consistent second-order approximation methods. This comparison shows a satisfactory agreement with DQMC and a significant improvement over the FLEX or the self-consistent second-order approximation.
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