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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2009

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

Résumé

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.

Dates et versions

hal-00438177 , version 1 (02-12-2009)

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Citer

Markus Holzmann, Bernard Bernu, Valerio Olevano, Richard M. Martin, David M. Ceperley. Renormalization factor and effective mass of the two-dimensional electron gas. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2009, 79 (4), pp.041308(R). ⟨10.1103/PhysRevB.79.041308⟩. ⟨hal-00438177⟩
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