Dynamical screening in correlated electron systems - from lattice models to realistic materials

TL;DR

This paper reviews recent advances in computational methods for dynamically screened Coulomb interactions in strongly correlated systems, emphasizing dynamical mean field approaches and their applications to models and real materials.

Contribution

It provides a comprehensive overview of methods for solving impurity models with retarded interactions and discusses their integration into dynamical mean field theory for correlated materials.

Findings

Successful application to U-V Hubbard models

Insights into impurity model solutions with retarded interactions

Advances in computational schemes for realistic materials

Abstract

Recent progress in treating the dynamically screened nature of the Coulomb interaction in strongly correlated lattice models and materials is reviewed with a focus on computational schemes based on the dynamical mean field approximation. We discuss approximate and exact methods for the solution of impurity models with retarded interactions, and explain how these models appear as auxiliary problems in various extensions of the dynamical mean field formalism. The current state of the field is illustrated with results from recent applications of these schemes to U-V Hubbard models and correlated materials.