Many-body effective mass enhancement in a two-dimensional electron liquid

Details Many-body effective mass enhancement in a two-dimensional electron liquid Many-body effective mass enhancement in a two-dimensional electron liquid

2004-12-23

arxiv.org/abs/cond-mat/0412665v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 3 figures, CMT28 Conference Proceedings, work related to cond-mat/0412260

Scientific paper

Motivated by a large number of recent magnetotransport studies we have revisited the problem of the microscopic calculation of the quasiparticle effective mass in a paramagnetic two-dimensional (2D) electron liquid (EL). Our systematic study is based on a generalized $GW$ approximation which makes use of the many-body local fields and takes advantage of the results of the most recent QMC calculations of the static charge- and spin-response of the 2D EL. We report extensive calculations for the many-body effective mass enhancement over a broad range of electron densities. In this respect we critically examine the relative merits of the on-shell approximation, commonly used in weak-coupling situations, {\it versus} the actual self-consistent solution of the Dyson equation. We show that already for $r_s \simeq 3$ and higher, a solution of the Dyson equation proves here necessary in order to obtain a well behaved effective mass. Finally we also show that our theoretical results for a quasi-2D EL, free of any adjustable fitting parameters, are in good qualitative agreement with some recent measurements in a GaAs/AlGaAs heterostructure.

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