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Functional-renormalization-group aided density functional theory

Date : Friday, June 14th, 2019 4:00 pm - 5:00 pm Place : Seminar Room 5 (A615), 6th Floor, ISSP Lecturer : Takeru Yokota Affiliation : High energy accelerator research organization (KEK) Organizer : Theory group Committee Chair : SUGINO, Osamu (0471363290)
e-mail: sugino@issp.u-tokyo.ac.jp
Language 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).


(Published on: Wednesday June 5th, 2019)