Abstract: It is a long standing problem to obtain an accurate energy density functional (EDF) in density functional theory based on microscopic calculation. Recently, we applied inverse-based approach and functional renormalization group to improve or obtain an EDF. In this talk, I will introduce these two methods and future perspectives.

References:

Takeru Yokota and Tomoya Naito. "Functional-renormalization-group aided density functional analysis for the correlation energy of the two-dimensional homogeneous electron gas" Phys. Rev. B 99, 115106 (2019)

Tomoya Naito, Daisuke Ohashi, and Haozhao Liang. "Improvement of functionals in density functional theory by the inverse Kohn–Sham method and density functional perturbation theory J. Phys. B 52, 245003 (2019)

Takeru Yokota and Tomoya Naito. "Ab initio construction of the energy density functional for electron systems with the functional-renormalization-group-aided density functional theory" Phys. Rev. Research 3, L012015 (2021)

Giacomo Accorto, Tomoya Naito, Haozhao Liang, Tamara Nikšić, and Dario Vretenar. "Nuclear energy density functionals from empirical ground-state densities" Phys. Rev. C 103, 044304 (2021)

Takeru Yokota and Tomoya Naito. "Construction of energy density functional for arbitrary spin polarization using functional renormalization group" Phys. Rev. B 105, 035105 (2022)