Effect of electron-electron interaction and plasmon excitation on the density-of-states for a two-dimensional electron liquid

Godfrey Gumbs, Eugene Kogan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We calculate the Green's function for an interacting two-dimensional electron liquid whose strength of interaction is characterized by the electron density parameter rs. The screened electron-electron interaction is expressed in terms of a frequency and wave vector-dependent dielectric function ε(q, ω). If this screening is neglected, the tunneling density of states (DOS) is strongly modified by the electron-electron interaction. This modification is seen as a dip near the Fermi energy. This dip becomes deeper and narrower as rs is increased. When screening is included, the DOS is considerably affected by the collective plasma excitations. In particular, the range of frequencies where the plasmon excitations contribute increases with rs. Also, the DOS near the Fermi energy for the screened electron liquid depends on the electron density. We treat ε(q, ω) in the hydrodynamical approximation in order to investigate the way in which the tunneling DOS is modified at various electron densities.

Original languageEnglish
Pages (from-to)3695-3702
Number of pages8
JournalPhysica Status Solidi (B): Basic Research
Volume244
Issue number10
DOIs
StatePublished - Oct 2007

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