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

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

2008-10-14

arxiv.org/abs/0810.2450v1

Phys. Rev. B 79, 041308(R) (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.79.041308

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 analytically. In the range $1 \le r_s \le 10$, we get a lower renormalization factor $Z$ and a higher effective mass, $m^*>m$, compared to the perturbative RPA values.

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