Regensburg 2019 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 17: Poster Session: Correlated Electrons 1
TT 17.40: Poster
Monday, April 1, 2019, 15:00–18:30, Poster D
Exact high-density limit calculation for quantum wires — •Klaus Morawetz1,2, Vinod Ashokan3, Renu Bala4, and Kare Narain Pathak3 — 1Münster University of Applied Sciences,Stegerwaldstrasse 39, 48565 Steinfurt, Germany — 2International Institute of Physics- UFRN,Campus Universitário Lagoa nova,59078-970 Natal, Brazil — 3Centre for Advanced Study in Physics, Panjab University, 160014 Chandigarh, India — 4Department 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 єf∼ pfβ where 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. A cancellation of RPA and vertex corrections occurs up to second-order contact interaction. For finite-range potentials of cylindrical wires the structure function and correlation energy is found to be independent of the width parameter. The proposed high-density expansion agrees with diffusive Monte Carlo simulations and a fit formula is presented for the correlation energy.
K. Morawetz, V. Ashokan, R. Bala, K. N. Pathak, Phys. Rev. B 97 (2018) 155147
V. Ashokan, R. Bala, K. Morawetz, K. N. Pathak,
Eur. Phys. J. B 91 (2018) 29, 1-7