Functional-renormalization-group aided density functional theory
e-mail: sugino@issp.u-tokyo.ac.jpLanguage in Speech : Japanese
The functional-renormalization-group aided density functional theory (FRG-DFT) is an attempt to microscopically formulate the density functional theory borrowing ideas from the functional renormalization group. This method is expected to become a new approach to long-standing problems of the density functional theory such as the nonempirical construction of energy density functionals. Although the formalism of the FRG-DFT was put forward in the early 2000’s, the applications to simple toy models of quantum many-body systems were started in the past few years. In this talk, I will introduce the FRG-DFT and review the recent developments. Particularly, I will present our works, which include the formulation for continuum homogeneous matters [1], the analysis of the ground and excited states of a one-dimensional fermionic matter [1, 2], and the application to the two-dimensional homogeneous electron gas [3].
[1] T. Yokota, K. Yoshida, and T. Kunihiro, Phys. Rev. C 99, 024302 (2019).
[2] T. Yokota, K. Yoshida, and T. Kunihiro, Prog. Theor. Exp. Phys (2019) 011D01.
[3] T. Yokota and T. Naito, Phys. Rev. B 99, 115106 (2019).