Two-particle correlations and the metal-insulator transition: Iterated perturbation theory revisited

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 (DMFT), 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.

Automated summary

Recent advances in many-body physics have allowed for the study of correlated electron systems at the two-particle level. In this study, the iterated perturbation theory (IPT) approximation is used to obtain analytical results for the response functions. However, the IPT approximation does not allow for an interpretation of the metal-insulator transition in terms of a Landau free energy functional.