2017/10/31 by Haozhao Liang, Yifei Niu, Tetsuo Hatsuda · 2 citations
Chemical Engineering · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Condensed Matter Physics #Catalysis and Oxidation Reactions #Convergence (economics) #Coupling (piping) #Critical dimension #Density functional theory #Density matrix renormalization group #Energy functional #Functional renormalization group #Kohn–Sham equations #Materials science #Mathematics #Orbital-free density functional theory #Physics #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Time-dependent density functional theory #Truncation (statistics) #cond-mat.str-el #hep-th #nucl-th #quant-ph
paper · pdf · doi:10.1016/j.physletb.2018.02.034
published as Phys. Lett. B 779, 436-440 (2018) · 6 pages, 3 figures, and 1 table
openalex publication_date 2018/02/21 · arxiv created 2018/02/22 · arxiv updated 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Deriving accurate energy density functional is one of the central problems in condensed matter physics, nuclear physics, and quantum chemistry. We propose a novel method to deduce the energy density functional by combining the idea of the functional renormalization group and the Kohn–Sham scheme in density functional theory. The key idea is to solve the renormalization group flow for the effective action decomposed into the mean-field part and the correlation part. Also, we propose a simple practical method to quantify the uncertainty associated with the truncation of the correlation part. By taking the φ4 theory in zero dimension as a benchmark, we demonstrate that our method shows extremely fast convergence to the exact result even for the highly strong coupling regime.