Renormalization factor and effective mass of the twodimensional electron gas
Abstract
We calculate the momentum distribution of the Fermiliquid phase of the homogeneous twodimensional electron gas. We show that close to the Fermi surface, the momentum distribution of a finite system with N electrons approaches its thermodynamic limit slowly, with leadingorder corrections scaling as N^{1/4} . These corrections dominate the extrapolation of the renormalization factor Z and the singleparticle effective mass m^{∗} to the infinite system size. We show how convergence can be improved using analytical corrections. In the range 1≤r_{s}≤10 , we get a lower renormalization factor Z and a higher effective mass m^{∗}>m compared to the perturbative randomphase approximation values.
 Publication:

Physical Review B
 Pub Date:
 January 2009
 DOI:
 10.1103/PhysRevB.79.041308
 arXiv:
 arXiv:0810.2450
 Bibcode:
 2009PhRvB..79d1308H
 Keywords:

 71.10.Ay;
 71.10.Ca;
 05.30.Fk;
 02.70.Ss;
 Fermiliquid theory and other phenomenological models;
 Electron gas Fermi gas;
 Fermion systems and electron gas;
 Quantum Monte Carlo methods;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 4 pages, 3 figures