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

2018/12/03 by Takeru Yokota, Tomoya Naito · 1 citation
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Computer science #Correlation #Correlation function (quantum field theory) #Density functional theory #Electron #Electronic correlation #Fermi gas #Functional renormalization group #Geometry #Homogeneous #Hybrid functional #Limit (mathematics) #Mathematical analysis #Mathematics #Monte Carlo method #Orbital-free density functional theory #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum mechanics #RADIUS #Renormalization #Renormalization group #Statistical physics #Statistics #cond-mat.str-el #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevb.99.115106

published as Phys. Rev. B 99, 115106 (2019) · 10 pages, 1 figure, 1 table

arxiv created 2018/12/03 · openalex publication_date 2019/03/05 · arxiv updated 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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_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.

Citations

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Cited by

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