Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Hohenberg-Kohn-theorem-inspired functional renormalization-group calculation of equation of state of a one-dimensional nuclear matter

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

Published Mar 20, 2018• 1 citation
OpenAlex

Abstract

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 composed of spinless nucleons. The resultant EOS of the NM coincides with that obtained by the Monte-Carlo method within a few percent for the available range of density. Our result demonstrates that the properly formulated FRG-aided DFT can be as powerful as any other methods in quantum many-body theory.

Related papers

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

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

We present to our knowledge the first successful functional renormalization group (FRG)--aided density-functional theory (DFT) calculation of the equation of state (EOS) of infinite nuclear matter (NM) in (1+1) dimensions composed of spinless nucleons. We give a formulation to describe infinite matters in which the ``flowing'' chemical potential is introduced to control the expectation value of the particle number during the flow. The resultant saturation energy of the NM coincides with that obtained by the Monte Carlo method within a few percent. Our result demonstrates that the FRG-aided DFT can be as powerful as any other methods in quantum many-body theory.

arXiv:1803.07439•Physical Review C•Feb 1, 2019•22 citations

Ab-initio description of ground and excited states of a one-dimensional nuclear matter with the Hohenberg--Kohn-theorem-inspired functional-renormalization-group method

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

We demonstrate for the first time that a density-functional-theory-aided functional-renormalization-group (DFT-RG) method describes well the characteristic features of the ground and excited states of an interacting many-body system in a unified manner. The DFT-RG method is applied to a $(1+1)$-dimensional spinless nuclear matter. For the ground state, the equation of state (EOS) is calculated, and it is shown that the resultant saturation energy, which is derived from the minimum point of the EOS with respect to the density, is found to be close to the result of the Monte Carlo simulation. For the excited states, the density--density spectral function is calculated, and it is found that our result reproduces a notable feature of the density--density spectral function of the non-linear Tomonaga-Luttinger liquid: The spectral function has a singularity at the edge of its support of the lower-energy side. These findings suggest that the DFT-RG method is a promising first-principle scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.

•Sep 30, 2018•0 citations

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

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to |$(1+1)$|D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.

arXiv:1810.00422•Progress of Theoretical and Experimental Physics•Dec 6, 2018•17 citations

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

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to (1+1) D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.

•Jan 1, 2019•14 citations

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

Takeru Yokota, Kenichi Yoshida, Teiji Kunihiro

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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to (1+1) D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.

•Jan 1, 2019•0 citations

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

Takeru Yokota, Tomoya Naito

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 function of the Wigner-Seitz radius ${r}_{\mathrm{s}}$ directly. We find that our correlation energy completely reproduces the exact behavior at the high-density limit. For finite density, the result of FRG-DFT shows good agreement with the Monte Carlo (MC) results in the high-density region, although the discrepancy between the FRG-DFT and MC results becomes larger as the system becomes more dilute. Our study is the first example in which the FRG-DFT is applied to more-than-one-dimensional models, and shows that the FRG-DFT is a feasible and promising method even for the analysis of realistic models for quantum many-body systems.

arXiv:1812.00588•Physical review. B./Physical review. B•Mar 5, 2019•13 citations
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 composed of spinless nucleons. The resultant EOS of the NM coincides with that obtained by the Monte-Carlo method within a few percent for the available range of density. Our result demonstrates that the properly formulated FRG-aided DFT can be as powerful as any other methods in quantum many-body theory.
We present to our knowledge the first successful functional renormalization group (FRG)--aided density-functional theory (DFT) calculation of the equation of state (EOS) of infinite nuclear matter (NM) in (1+1) dimensions composed of spinless nucleons. We give a formulation to describe infinite matters in which the ``flowing'' chemical potential is introduced to control the expectation value of the particle number during the flow. The resultant saturation energy of the NM coincides with that obtained by the Monte Carlo method within a few percent. Our result demonstrates that the FRG-aided DFT can be as powerful as any other methods in quantum many-body theory.
We demonstrate for the first time that a density-functional-theory-aided functional-renormalization-group (DFT-RG) method describes well the characteristic features of the ground and excited states of an interacting many-body system in a unified manner. The DFT-RG method is applied to a (1+1)(1+1)(1+1)-dimensional spinless nuclear matter. For the ground state, the equation of state (EOS) is calculated, and it is shown that the resultant saturation energy, which is derived from the minimum point of the EOS with respect to the density, is found to be close to the result of the Monte Carlo simulation. For the excited states, the density--density spectral function is calculated, and it is found that our result reproduces a notable feature of the density--density spectral function of the non-linear Tomonaga-Luttinger liquid: The spectral function has a singularity at the edge of its support of the lower-energy side. These findings suggest that the DFT-RG method is a promising first-principle scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.
Ab initioAb~initioAb initio description of excited states of 1D uniform matter with the Hohenberg–Kohn-theorem-inspired functional-renormalization-group method
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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to |(1+1)(1+1)(1+1)|D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.
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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to (1+1) D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.
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 ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to (1+1) D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.
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 function of the Wigner-Seitz radius rs{r}_{\mathrm{s}}rs​ directly. We find that our correlation energy completely reproduces the exact behavior at the high-density limit. For finite density, the result of FRG-DFT shows good agreement with the Monte Carlo (MC) results in the high-density region, although the discrepancy between the FRG-DFT and MC results becomes larger as the system becomes more dilute. Our study is the first example in which the FRG-DFT is applied to more-than-one-dimensional models, and shows that the FRG-DFT is a feasible and promising method even for the analysis of realistic models for quantum many-body systems.