Quasiparticle effective mass divergence in two dimensional electron systems

2003/12/31 by Ying Zhang, S. Das Sarma
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.71.045322

published as Phys. Rev. B 71, 045322 (2005) · Figure 6 updated. Accepted version for publishing

arxiv created 2004/12/14 · arxiv updated 2009/12/01

Abstract

Within the infinite series of ring (or bubble) diagram approximation for the electronic self-energy as appropriate for the long-range Coulomb interaction, we calculate the density-dependent T=0 Fermi liquid quasiparticle effective mass renormalization in two dimensional (2D) electron systems in the random-phase-approximation (RPA). We find that the quasiparticle effective mass increases very strongly with increasing r_s, exhibiting an unexpected divergence at a critical r_s value (∼ 16 in the ideal 2D system). We discuss the possibility for and the consequences of such an interaction induced effective mass divergence as the electron density decreases, and critically comment on the likely theoretical scenarios which could lead to such a low density effective mass divergence in electron liquids.

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