# 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} }

## 21 Citations

### Improvement of functionals in density functional theory by the inverse Kohn–Sham method and density functional perturbation theory

- PhysicsJournal of Physics B: Atomic, Molecular and Optical Physics
- 2019

We propose a way to improve energy density functionals (EDFs) in the density functional theory based on the combination of the inverse Kohn--Sham method and the density functional perturbation…

### Functional renormalization-group calculation of the equation of state of one-dimensional uniform matter inspired by the Hohenberg-Kohn theorem

- PhysicsPhysical Review C
- 2019

We present the first successful functional renormalization group(FRG)-aided density-functional (DFT) calculation of the equation of state (EOS) of an infinite nuclear matter (NM) in (1+1)-dimensions…

### Ab initio construction of the energy density functional for electron systems with the functional-renormalization-group-aided density functional theory

- Physics
- 2020

We show an $\textit{ab initio}$ construction of the energy density functional (EDF) for electron systems using the functional renormalization group. The correlation energies of the homogeneous…

### Microscopic derivation of density functional theory for superfluid systems based on effective action formalism

- Physics
- 2020

Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for…

### Functional-renormalization-group aided density functional analysis for the correlation energy of the two-dimensional homogeneous electron gas

- Physics, ChemistryPhysical Review B
- 2019

The functional-renormalization-group aided density-functional theory (FRG-DFT) is applied to the two-dimensional homogeneous electron gas (2DHEG). The correlation energy of the 2DHEG is derived as a…

### Functional-renormalization-group approach to classical liquids with short-range repulsion: A scheme without repulsive reference system.

- PhysicsPhysical review. E
- 2021

It is demonstrated using exactly solvable one-dimensional models that the resulting scheme yields accurate thermodynamic properties and interatomic distribution at various densities when compared to integral-equation methods such as the hypernetted chain and the Percus-Yevick equation.

### $Ab~initio$ description of excited states of 1D uniform matter with the Hohenberg–Kohn-theorem-inspired functional-renormalization-group method

- PhysicsProgress of Theoretical and Experimental Physics
- 2019

We demonstrate for the first time that a functional-renormalization-group aided density-functional theory (FRG-DFT) describes well the characteristic features of the excited states as well as the…

### Turning the nuclear energy density functional method into a proper effective field theory: reflections

- Physics
- 2019

Nuclear energy density functionals (EDFs) have a long history of success in reproducing properties of nuclei across the table of the nuclides. They capture quantitatively the emergent features of…

### Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows

- PhysicsPhysical Review D
- 2022

We demonstrate that the reformulation of renormalization group (RG) ﬂow equations as nonlinear heat equations has severe implications on the understanding of RG ﬂows in general. We demonstrate by…

### Skyrme functional with tensor terms from ab initio calculations of neutron-proton drops

- Physics, ChemistryPhysical Review C
- 2019

A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction…

## 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

- Physics
- 2012

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

- Physics
- 1999

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…