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

@article{Liang2017FunctionalRG, 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={2017}, 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…

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