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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