Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session C44: Helium-3 and Helium-4 Low Temperature Properties
3:00 PM–6:00 PM,
Monday, March 15, 2021
Sponsoring
Unit:
DCMP
Chair: Paul Sokol, Indiana Univ - Bloomington
Abstract: C44.00012 : Functional Renormalization Group Study of Correlated Bose-Einstein Systems -- Low-Temperature Properties of Specific Heat
5:12 PM–5:24 PM
Live
Presenter:
Akimitsu Kirikoshi
(Department of Physics, Hokkaido University)
Authors:
Akimitsu Kirikoshi
(Department of Physics, Hokkaido University)
Takafumi Kita
(Department of Physics, Hokkaido University)
Recently, one of the authors derived the renormalization group equations for correlated BECs based on the vertex expansion of the effective action[2]. A notable feature of this formalism is that we can avoid the infrared divergence systematically, and the existence of a gapless mode is also guaranteed since it satisfies Goldstone's theorem I (or Hugenholtz-Pines theorem)[3]. On the basis of this formulation, it has been shown that the single-particle excitations of homogeneous BECs at finite temperatures should deviate eventually as the wavenumber k approaches 0 from the linear dispersion predicted by Bogoliubov theory, which can be the origin of the Greywall's experiment result above.
In this talk, we report the numerical results on the specific heat of superfluid 4He obtained by solving the functional renormalization group equations. We will also discuss the effective mass of the single-particle excitation.
[1]D. S. Greywall, Phys. Rev. B 18, 2127 (1978).
[2]T. Kita, J. Phys. Soc. Jpn. 88, 054003 (2019).
[3]T. Kita, J. Phys. Soc. Jpn. 80, 084606 (2011).
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