SKM 2021 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Poster Session: Correlated Electrons
TT 9.39: Poster
Tuesday, September 28, 2021, 13:30–16:00, P
RPA as exact high-density limit of 1D correlated electrons — •Klaus Morawetz1,2, Vinod Ashokan3, Renu Bala4, and Kare Narain Pathak5 — 1Münster University of Applied Sciences,Stegerwaldstrasse 39, 48565 Steinfurt, Germany — 2International Institute of Physics- UFRN,Campus Universitário Lagoa nova,59078-970 Natal, Brazil — 3Department of Physics, Dr. B.R. Ambedkar NationalInstitute of Technology, Jalandhar (Punjab) - 144 011, India — 4Centre for Advanced Study in Physics, Panjab University, 160014 Chandigarh, India — 5Department of Physics, MCM DAV College for Women, 160036 Chandigarh, India
It is shown that in d-dimensional systems, the vertex corrections beyond the random phase approximation (RPA) or GW approximation scales with the power d−β−α of the Fermi momentum if the relation between Fermi energy and Fermi momentum is єf∼ pfβ and the interacting potential possesses a momentum-power-law of ∼ p−α. The condition d<β+α specifies systems where RPA is exact in the high-density limit. The one-dimensional structure factor is calculated analytically and the ground-state energy is presented exactly in the high-density and Coulomb limit. The proposed high-density expansion agrees with diffusive Monte Carlo simulations which we performed for this purpose.
[1] Eur. Phys. J. B 91 (2018) 29
[2] Phys. Rev. B 97 (2018) 155147
[3] Phys. Rev. B 101 (2020) 075130