Functional renormalization group and Kohn-Sham scheme in density functional theory
Abstract
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.
- Publication:
-
Physics Letters B
- Pub Date:
- April 2018
- DOI:
- 10.1016/j.physletb.2018.02.034
- arXiv:
- arXiv:1710.00650
- Bibcode:
- 2018PhLB..779..436L
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Nuclear Theory;
- Quantum Physics
- E-Print:
- 6 pages, 3 figures, and 1 table