Two-particle correlations and the metal-insulator transition: Iterated Perturbation Theory revisited

Abstract

Recent advances in many-body physics have made it possible to study correlated electron systems at the two-particle level. In Dynamical Mean-Field theory, it has been shown that the metal-insulator phase diagram is closely related to the eigenstructure of the susceptibility. So far, this situation has been studied using accurate but numerically expensive solvers. Here, the Iterated Perturbation Theory (IPT) approximation is used instead. Its simplicity makes it possible to obtain analytical results for the two-particle vertex and the DMFT Jacobian. The limited computational cost also enables a detailed comparison of analytical expressions for the response functions to results obtained using finite differences. At the same time, the approximate nature of IPT precludes an interpretation of the metal-insulator transition in terms of a Landau free energy functional.

Revised version

References in corpus (7)

• Plasmons in strongly correlated systems: spectral weight transfer and renormalized dispersion
• Phase separation in the particle-hole asymmetric Hubbard model
• Self-consistent ladder D$\Gamma$A approach
• Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green's function
• Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
• Automatic Differentiable Numerical Renormalization Group
• Time-dependent exchange-correlation potential in lieu of self-energy

Cited by in corpus (10)

• Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region
• Non-perturbative intertwining between spin and charge correlations: A "smoking gun" single-boson-exchange result
• Stochastic pole expansion method
• Thermodynamic Stability at the Two-Particle Level
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Second-order phase transitions and divergent linear response in dynamical mean-field theory
• Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Non-perturbative effects of short-range spatial correlations at the two-particle level
• Automated evaluation of imaginary time strong coupling diagrams by sum-of-exponentials hybridization fitting