Renormalization factor and effective mass of the two-dimensional electron gas

Markus Holzmann, Bernard Bernu, Valerio Olevano, Richard M. Martin, David M. Ceperley

Research output: Contribution to journalArticlepeer-review


We calculate the momentum distribution of the Fermi-liquid phase of the homogeneous two-dimensional 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 leading-order corrections scaling as N-1/4. These corrections dominate the extrapolation of the renormalization factor Z and the single-particle effective mass m to the infinite system size. We show how convergence can be improved using analytical corrections. In the range 1≤ rs ≤10, we get a lower renormalization factor Z and a higher effective mass m >m compared to the perturbative random-phase approximation values.

Original languageEnglish (US)
Article number041308
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jan 5 2009

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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