Impact of self-consistency in dual fermion calculations

Abstract

The dual fermion (DF) method allows for calculating corrections due to non-local correlations relative to an effective impurity model. Choosing the impurity as that of a dynamical mean field theory (DMFT) solution at self-consistency is popular, and the corrections from dual fermion theory are physically meaningful. We investigate the effect of choosing the impurity instead in a self-consistent manner and find for the two dimensional Hubbard model an exponentially increase of the correlation length and susceptibility at low temperatures. There are pronounced differences for the two self-consistency schemes that are discussed in the literature; the self-consistent DF solution can even be more metallic than the DMFT solution.

arXiv comment8 pages, 10 figures

References in corpus (26)

• Quantum Cluster Theories
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Fate of the false Mott-Hubbard transition in two dimensions
• Mott physics and spin fluctuations: a unified framework
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• From infinite to two dimensions through the functional renormalization group
• Absence of a Slater Transition in The Two-Dimensional Hubbard Model
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Theory of single-particle properties of the Hubbard model
• One-particle irreducible functional approach - a new route to diagrammatic extensions of DMFT
• Efficient treatment of two-particle vertices in dynamical mean-field theory
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
• Mott physics and collective modes: an atomic approximation of the four-particle irreducible functional
• Continuous-time Quantum Monte Carlo using Worm Sampling
• Pseudogap and singlet formation in cuprate and organic superconductors
• Role of three-particle vertex within dual fermion calculations
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: Slater vs Mott-Heisenberg
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Precursors of the insulating state in the square lattice Hubbard model
• Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
• The effect of six-point one-particle reducible local interactions in the dual fermion approach

Cited by in corpus (8)

• Fluctuation diagnostic of the nodal/antinodal dichotomy in the Hubbard model at weak coupling: a parquet dual fermion approach
• Self-consistent ladder D$\Gamma$A approach
• The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry
• Metal-insulator transition in the 2D Hubbard model: dual fermion approach with the Lanczos exact diagonalization
• Second-order dual fermion approach to the Mott transition in the two-dimensional Hubbard model
• Non-local Correlation Effects in Fermionic Many-Body Systems: Overcoming the Non-causality Problem
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study