Self-Consistent Fluctuation Theory for Strongly Correlated Electron Systems

Abstract

A self-consistent theory for two-particle fluctuations with renormalized irreducible vertices is proposed. Using the Parquet formalism, we construct the fully antisymmetric full vertex in terms of the two-particle fluctuations in the charge, the spin and the particle-particle channels on an equal footing to satisfy the Pauli principle. The fluctuations are determined self-consistently, which are reflected into the one-particle self-energy via the Schwinger-Dyson equation. We demonstrate the application of the present theory to the impurity Anderson model and the Hubbard model on a square lattice mainly for the particle-hole symmetric case. In both models the vertex renormalization in the spin channel eliminates magnetic instabilities of mean-field theory to ensure the Mermin-Wagner theorem. The present theory gives the same critical exponents of the self-consistent renormalization theory in the quantum critical region.

13 pages, 22 figures

References in corpus (5)

• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Analytic impurity solver with the Kondo strong-coupling asymptotics
• Kondo behavior in the asymmetric Anderson model: Analytic approach
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• Development of an efficient impurity solver in dynamical mean field theory for multi-band systems: The iterative perturbation theory combined with the parquet equations
• Disorder Effects on Competition between Antiferromagnetism and Superconductivity in Cuprate Superconductors through the Enhancement in Charge Susceptibility
• Hole-$s_{\pm }$ State Induced by Coexisting Ferro- and Aniferromagnetic and Aniferro-orbital Fluctuations in the Iron Pnictides
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior