Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Solid State Communications

Density correlations within the time-continuum slave-boson functional integral formulation: Comparison with an alternative approach

Lew Gehlhoff

Published Apr 1, 1996• 0 citations
Publisher
DOI
10.1016/0038-1098(96)00052-x

Related papers

Functional-integral formulation of the slave-boson approach: Beyond the mean-field treatment with the correct continuum limit

Enrico Arrigoni, Claudio Castellani, M. Grilli +2 more

Physics Reports•Jun 1, 1994•30 citations

Revising the 1/N Expansion for the Slave-Boson Approach within the Functional Integral

Enrico Arrigoni, Claudio Castellani, Roberto Raimondi +1 more

NATO ASI series. Series B : Physics•Jan 1, 1995•0 citations

1/N expansions for the U = ∞ Hubbard model: Comparison between X‐operator and slave‐boson approach

Lew Gehlhoff

Abstract We consider the large‐spin‐degeneracy (N) version of the U = ∞ one‐band Hubbard model and present a systematic 1/N expansion method which is based on Hubbard's X‐operator formulation and a Baym‐Kadanoff expansion. We compare this alternative X‐operator approach with the customary time‐continuum slave‐boson (SB) functional‐integral treatment, which has recently been criticized. In particular, we give a detailed derivation of the density Green's function within the new approach and compare the leading‐order results with those as obtained with the commonly used SB treatment, finding total agreement.

physica status solidi (b)•Oct 1, 1996•1 citation

A Functional Integral Representation for Many Boson Systems II: Correlation Functions

Tadeusz Bałaban, Joel Feldman, Horst Knörrer +1 more

Annales Henri Poincaré•Oct 17, 2008•17 citations

Beyond the Gutzwiller approximation in the slave-boson approach: Inclusion of fluctuations with the correct continuum limit of the functional integral

Enrico Arrigoni, Giancarlo Calvanese Strinati

We study the single-band Hubbard model via the functional-integral four-slave-boson formulation introduced by Kotliar and Ruckenstein, and show that a proper treatment of the continuum limit of the functional integral removes the inconsistencies due to an incorrect handling of this limit so far performed in the literature. It follows from our analysis that the Kotliar and Ruckenstein mean-field solution has to be abandoned in order to include fluctuation corrections in a systematic way. We show explicitly how to construct a suitable alternative solution which admits the inclusion of fluctuations.

Physical Review Letters•Nov 8, 1993•30 citations

Strong correlation in time-dependent density functional theory

Kieron Burke, Diego J. Carrascal, Jaime Ferrer +1 more

Bulletin of the American Physical Society•Mar 8, 2018•0 citations
Abstract We consider the large‐spin‐degeneracy (N) version of the U = ∞ one‐band Hubbard model and present a systematic 1/N expansion method which is based on Hubbard's X‐operator formulation and a Baym‐Kadanoff expansion. We compare this alternative X‐operator approach with the customary time‐continuum slave‐boson (SB) functional‐integral treatment, which has recently been criticized. In particular, we give a detailed derivation of the density Green's function within the new approach and compare the leading‐order results with those as obtained with the commonly used SB treatment, finding total agreement.
We study the single-band Hubbard model via the functional-integral four-slave-boson formulation introduced by Kotliar and Ruckenstein, and show that a proper treatment of the continuum limit of the functional integral removes the inconsistencies due to an incorrect handling of this limit so far performed in the literature. It follows from our analysis that the Kotliar and Ruckenstein mean-field solution has to be abandoned in order to include fluctuation corrections in a systematic way. We show explicitly how to construct a suitable alternative solution which admits the inclusion of fluctuations.