# Functional renormalization group and Kohn-Sham scheme in density functional theory

@article{Liang2018FunctionalRG,
title={Functional renormalization group and Kohn-Sham scheme in density functional theory},
author={Haozhao Liang and Yi Fei Niu and Tetsuo Hatsuda},
journal={Physics Letters B},
year={2018},
volume={779},
pages={436-440}
}
• Published 19 September 2017
• Physics
• Physics Letters B
21 Citations

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## References

SHOWING 1-10 OF 45 REFERENCES

### Towards a renormalization group approach to density functional theory—general formalism and case studies

• Physics
• 2013
We discuss a two-particle point-irreducible (2PPI) approach to many-body physics which relies on a renormalization group (RG) flow equation for the associated effective action. In particular, the

### Effective action and density-functional theory

• Physics
• 2001
The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional

### Two-particle irreducible functional renormalization group schemes—a comparative study

• Physics
• 2015
We derive functional renormalization group (fRG) schemes for Fermi systems which are based on the two-particle irreducible approach to the quantum many-body problem. In a first step, the cutoff is

### Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study

• Physics
• 2016
In nuclear physics, Density Functional Theory (DFT) provides the basis for state-of-the art studies of ground-state properties of heavy nuclei. However, the direct relation of the density functional

### Functional renormalization group approach to correlated fermion systems

• Physics
• 2012
Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon lowering the energy scale, collective phenomena, bound states, and new effective degrees of freedom emerge.

### Fermion interactions and universal behavior in strongly interacting theories

The theory of the strong interaction, quantum chromodynamics (QCD), describes the generation of hadronic masses and the state of hadronic matter during the early stages of the evolution of the

### Time-dependent density-functional description of nuclear dynamics

• Physics
• 2016
The basic concepts and recent developments in the time-dependent density-functional theory (TDDFT) for describing nuclear dynamics at low energy are presented. The symmetry breaking is inherent in

### Nobel Lecture: Electronic structure of matter-wave functions and density functionals

In the intervening more than six decades enormous progress has been made in finding approximate solutions of Schrodinger's wave equation for systems with several electrons, decisively aided by modern