Dual fermion approach to nonlocal correlations in the Hubbard model
By A. Rubtsov, M. Katsnelson, A. Lichtenstein. 2006
234 citations recorded by the source corpus.
A diagrammatic technique is developed to describe nonlocal effects (e.g., pseudogap formation) in the Hubbard-like models. In contrast to cluster approaches, this method utilizes an exact transition to the dual set of variables, and it therefore becomes possible to treat the irreducible vertices of an effective single-impurity problem as small parameters. This provides a very efficient interpolation between weak coupling (band) and atomic limits. The antiferromagnetic pseudogap formation in the Hubbard model is correctly reproduced by just the lowest-order diagrams.
Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/7cfbc9c514ad514dbb2b568bde2b86c6787444f7
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In Condensed Matter Physics
- A. Rubtsov
- Philipp Werner
- A. Lichtenstein
- Hartmut Hafermann
- Matthias Troyer
- A. Millis
- Emanuel Gull
- M. Katsnelson
In Electronic, Optical and Magnetic Materials
- A. Rubtsov
- Philipp Werner
- A. Millis
- A. Lichtenstein
- K. Held
- Olivier Parcollet
- Alessandro Toschi
- A. Georges
Citations in the corpus
- Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “Alternative ways to handle nonlocal correlations have been proposed (Kusunose, 2006; Rubtsov et al., 2008; Slezak et al., 2009; Toschi et al., 2007).”
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, background): “This is achieved through the Hubbard-Stratonovich transformation (Rubtsov et al., 2008): e−[εk−∆ν ]C + kνσCkνσ = −1∏ kνσ b 2 νσ [εk −∆ν ] −1 ∫ D[c̃+, c̃] eb 2 νσ[εk−∆ν ] −1c̃+kνσ c̃kνσ+bνσ[c+kνσ c̃kνσ+c̃+kνσckνσ]+η̃+kνσ c̃kνσ+c̃+kνσ η̃kνσ .”
- TRIQS: A toolbox for research on interacting quantum systems (2015, background): “array ([[1 ,2 ,3] ,[4 ,5 ,6]]) with HDFArchive("data.”
- Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model (2020, methodology): “(D6) with Vi ≡ V [f∗ i , fi], and where gw is the momentum independent Green function of the Anderson impurity problem, and ∆ω is the hybridization function between the impurity and the bath [28, 214].”