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Title: Ab initio description of excited states of 1D uniform matter with the Hohenberg–Kohn-theorem-inspired functional-renormalization-group method
Authors: Yokota, Takeru
Yoshida, Kenichi
Kunihiro, Teiji
Author's alias: 横田, 猛
吉田, 賢市
國廣, 悌二
Issue Date: Jan-2019
Publisher: Physical Society of Japan
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2019
Issue: 1
Thesis number: 011D01
Abstract: We demonstrate for the first time that a functional-renormalization-group aided density-functional theory (FRG-DFT) describes well the characteristic features of the excited states as well as the ground state of an interacting many-body system with an infinite number of particles in a unified manner. The FRG-DFT is applied to (1+1) D spinless nuclear matter. For the excited states, the density–density spectral function is calculated at the saturation point obtained in the framework of FRG-DFT, and it is found that our result reproduces a notable feature of the density–density spectral function of the nonlinear Tomonaga–Luttinger liquid: The spectral function has a singularity at the edge of its support on the lower-energy side. These findings suggest that the FRG-DFT is a promising first-principles scheme to analyze the excited states as well as the ground states of quantum many-body systems starting from the inter-particle interaction.
Rights: © The Author(s) 2019. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
DOI(Published Version): 10.1093/ptep/pty139
Appears in Collections:Journal Articles

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